Open Access
Issue
A&A
Volume 710, June 2026
Article Number A215
Number of page(s) 20
Section Extragalactic astronomy
DOI https://doi.org/10.1051/0004-6361/202659690
Published online 22 June 2026

© The Authors 2026

Licence Creative CommonsOpen Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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1. Introduction

Understanding galaxy evolution requires a detailed view of the physical mechanisms that regulate and modify the cold gas reservoir of galaxies. Internal processes, such as the gravitational influence of spiral arms and bars as well as outflows driven by stellar feedback or active galactic nuclei (AGN), can remove gas from thebibliography interstellar medium (ISM; Tremonti et al. 2004; Finlator & Davé 2008). Conversely, inflows from the intergalactic and circumgalactic media can replenish the gas supply required for sustained star formation (SF; Tumlinson et al. 2017). In dense environments, however, additional external mechanisms can strongly influence the multiphase gas content of galaxies, in particular within galaxy clusters and their hot intracluster medium (ICM, Dressler 1980; Kenney & Young 1989; Cortese et al. 2021; Boselli et al. 2022; Poggianti et al. 2025).

In addition to regulating the gas content, environmental mechanisms can disturb the morphology of galaxies, mainly through gravitational and/or hydrodynamical perturbations. Gravitational perturbations – including tidal interactions with the cluster potential (Byrd & Valtonen 1990; Valluri 1993) or with close companions – can distort both the stellar and gaseous components. As interacting pairs approach each other, the influence of the gravitational field upon both their gas and stellar components increases, acting differently in one side of the galaxy compared to the other (Bournaud et al. 2004; Duc & Renaud 2013). After plunging into a tidal field, galaxy material can be deformed, often resulting in tidal features such as tails, bridges and plumes, although the observation and formation of these features depend on the evolutionary stage of the system and on the initial morphology of the perturbed galaxy (Struck 1999; Duc & Renaud 2013). Tidal torques acting at large radii can push material outward, enhancing the formation of these features (Bournaud 2010). In the cluster environment, the frequency of galaxy–galaxy interactions and their efficiency in triggering significant morphological disturbances depend on the clustercentric distance. Although galaxy density increases toward the cluster center – and consequently encounters become more frequent – the relative speeds of galaxies also increase in these regions. As a result, both the duration of the interactions and their capacity to induce prominent morphological features decrease (Boselli & Gavazzi 2006; Adams et al. 2012). Nevertheless, these frequent high-speed encounters at small clustercentric radii can still induce substantial mass loss through a process widely known as “harassment” (Moore et al. 1996, 1998).

Of the various hydrodynamical processes experienced by cluster galaxies, ram-pressure stripping (RPS; Gunn & Gott 1972) is one of the most extensively studied (e.g., Abadi et al. 1999; Poggianti et al. 2017b; Cortese et al. 2021; Boselli et al. 2022, among many others). As galaxies fall into a cluster, the ICM exerts pressure on the ISM cold gas, while the stellar component is less affected (Kapferer et al. 2009; Smith et al. 2010). Consequently, the gas disk is compressed along the leading edge (Rasmussen et al. 2006; Poggianti et al. 2019b) and stripped away along the trailing edge, which creates extended gas tails in the wake of the galaxy (Fumagalli et al. 2014; Poggianti et al. 2017b, 2019a). The morphological perturbation in the gas component of RPS galaxies undergoing the peak of the stripping phase is so intense that they are often referred to as “jellyfish” galaxies due to the peculiar appearance of their extended gas tails, which resemble the tentacles of the sea creature. Although RPS can increase the star formation rate (SFR) during the peak of the stripping phase (Vulcani et al. 2018), the long-term aftermath of removing the cold gas reservoir is the quenching of SF (Vulcani et al. 2020a; Cortese et al. 2021). Moreover, RPS has been shown to be sufficient to induce a morphological evolution from spirals to S0s (Marasco et al. 2023, 2026).

Recently, Bellhouse et al.; Bellhouse et al. (2017; 2021, B21 hereafter) provided observational evidence of another morphological consequence of RPS in spiral galaxies. Using 11 confirmed RPS galaxies from the GAs Stripping Phenomena in galaxies (GASP) sample (Poggianti et al. 2017b, 2025), B21 showed that their spiral arms open up with increasing galactocentric distance, i.e., they appear “unwound”. Spatially resolved star formation history (SFH) maps have revealed that the unwound component hosts exclusively young stellar populations, whereas older stars remain confined to the undisturbed stellar disk, therefore indicating that the unwound component traces stars formed in the gas displaced by the ICM wind. Observational evidence of RPS-induced unwinding spiral arms has also been reported for NGC 2276 (Matijević et al. 2026)1 and UGC 2665 (George et al. 2025). This observational picture is consistent with hydrodynamic simulations showing that RPS compresses and displaces the inner gas disk relative to the halo potential while stretching and shearing the outer arms before stripping them away (Schulz & Struck 2001; Machado et al. 2025).

However, tidal interactions can produce qualitatively similar curved or open spiral features (e.g., Struck 1999; Dobbs et al. 2010). Because these features have traditionally been associated with gravitational perturbations, unwinding galaxies without prominent optical tails have often been deliberately excluded from visually selected RPS galaxy samples (Poggianti et al. 2016; Durret et al. 2021). The exclusion of this subpopulation may lead to an underestimation of the role and efficiency of RPS in driving galaxy evolution in dense environments. Vulcani et al. (2022) show that including unwinding galaxies can double the fraction of ram-pressure-stripped candidates among blue late-type cluster galaxies. Moreover, it is worth noting that the presence of stellar bars has also been reported to influence the geometry of spiral arms. For instance, observational studies have found a correlation between the presence of strong stellar bars and increased pitch angles (Hart et al. 2017; Masters et al. 2019). This potential relationship is supported by the invariant manifold theoretical framework (Romero-Gómez et al. 2006, 2007), which suggests that the orbits of stars in barred galaxies will produce more open spirals as bar strength increases. However, this remains a matter of debate, as other observational studies find no such correlation (Font et al. 2019; Lingard et al. 2021).

Identifying the physical mechanism responsible for the observed morphological perturbations is therefore crucial for improving the accuracy of RPS galaxy censuses. Integral field spectroscopy (IFS) is particularly suited for this task: it provides spatially resolved emission-line diagnostics, kinematics, and stellar population properties for each galaxy, enabling a direct comparison of how the gas and stellar components respond to the disturbing mechanisms (Merluzzi et al. 2016; Vulcani et al. 2021). As an example, regular stellar and gas rotation fields can be transformed into irregular distributions depending on the disturbing forces. For a comprehensive characterization of how galaxy–galaxy interactions, mergers, and environmental mechanisms affect the spatially resolved properties of galaxies, we refer the reader to Vulcani et al. (2021), who provide a wealth of observational examples from the GASP sample.

Motivated by the need to understand the nature and frequency of RPS-induced unwinding spiral arms, Vulcani et al. (2022) identified 143 blue (B < 18.2) spiral galaxies displaying unwinding features across 52 clusters using WINGS and OMEGAWINGS imaging (Fasano et al. 2006; Moretti et al. 2014; Gullieuszik et al. 2015; Moretti et al. 2017), visually classifying them from UClass = 1 to 5 according to the strength of the unwinding signature. To investigate the underlying mechanisms at play, ESO program 109.23DA (PI: B. Vulcani) obtained IFS observations with the Multi-Unit Spectroscopic Explorer (MUSE, Bacon et al. 2010) for 13 of these galaxies. Combined with existing GASP data, these observations will provide the first statistically robust IFS sample of unwinding galaxies, enabling an assessment of the relative incidence of RPS-driven spiral-arm unwinding in clusters.

In this work, we characterized the spatially resolved ionized gas, stellar, and morphological properties of two galaxies from this sample: UG103, a candidate for RPS-driven unwinding, and UG101, which is likely disturbed by tidal forces. We used these two systems to illustrate how integral field unit (IFU) observations can be used to reveal and distinguish the external mechanisms driving spiral-arm unwinding. From this analysis we established a methodological framework that we will apply consistently to the full dataset, thereby classifying galaxies into RPS- and tidal-driven cases and assessing the relative incidence of RPS within this particular population of cluster galaxies (Lassen et al. in prep.). Section 2 describes the observations and data reduction, which is followed by the methodology in Sect. 3. The selection of UG101 and UG103 as tidal- and RPS-driven candidates, respectively, is discussed in Sect. 4, with a quantification of the unwinding effect on each galaxy presented in Sect. 4.3. The results are presented in Sect. 5 and discussed in Sect. 6.

Throughout this work, we adopted a Chabrier (2003) initial mass function (IMF) with a 0.1 M – 100 M stellar mass range, and standard cosmological parameters of H0 = 70 km s−1 Mpc−1, Ωm = 0.3, and ΩΛ = 0.7.

2. Observations and data reduction

We used IFU MUSE observations from the very large telescope (VLT) in the wide-field mode (NOAO-WFM). MUSE covers the approximate nominal wavelength range of 4650 Å–9300 Å, with a spectral sampling of 1.25 Å/pixel. The spectrograph resolving power varies from R ∼ 2000 at 4650 Å to R ∼ 4000 at 9300 Å, with a median spectral resolution of ∼2.6 Å. The WFM covers a field of view (FoV) of approximately 1′ × 1′with angular sampling of 0 . Mathematical equation: $ \overset{\prime \prime }{.} $2/pixel. In this work, we used the available science-ready MUSE datacubes that are part of the observing program 109.23DA (P.I.: B. Vulcani). As mentioned in Sect. 1, throughout this work we focused on two galaxies, UG101 and UG103 (see Fig. 1). UG101 was observed on 2022 April 4, and UG103 was observed on 2022 May 24, both with a total exposure time of 2700 s. Before detailing how these two galaxies were selected as the representative candidates of tidal and RPS-driven unwinding galaxies, we describe in the next section the methodologies applied.

Thumbnail: Fig. 1. Refer to the following caption and surrounding text. Fig. 1.

Top panel: Color-composite image of UG101 (at the center of the image, labeled in orange) generated from the MUSE datacube. The filter transmission curves used to integrate the flux and their corresponding red, green, and blue channels are indicated at the top. A close companion, UG101b, lies approximately 28″ to the southwest (also in orange). Bottom panel: Color-composite image of UG103, generated from the MUSE datacube. The extended greenish-yellow source located within one of UG103 spiral arms to the southeast (indicated by the yellow annotation) is identified as a background source with zspec ∼ 0.25 (see Appendix A). Other point-like sources seen in the image correspond to foreground stars or background galaxies. A yellow arrow indicates the direction of the brightest cluster galaxy (Biviano et al. 2017).

3. Methods

This section presents in detail the methods used to derive the spatially resolved properties of the unwinding galaxies. These techniques are applied to the entire sample and will serve as the methodological framework for forthcoming papers based on this dataset.

3.1. Preliminary steps

As a first step, we use Pan STARRS1 (Chambers et al. 2016), Gaia Data Release 3 (Vallenari 2023), and the dark energy survey (DES) Data Release 2 (Abbott et al. 2021) to perform an astrometry correction of the datacubes. We identified non-saturated stars within the FoV covered by the MUSE observations and used their celestial coordinates as reference values, which were compared to the detector coordinates derived from 2D Moffat profiles fitted to the corresponding sources in the white-light MUSE images. Based on these matched positions, a corrected World Coordinate System (WCS) is computed and applied to the original datacubes. When a source appears in multiple catalogs, the reference value was taken from the catalog providing the best precision.

Additionally, the datacubes are corrected for Galactic foreground extinction. We adopted the Cardelli et al. (1989, CCM) reddening law with a total-to-selective extinction ratio of RV = 3.1. The color excess E(B − V) due to Milky Way dust along the line of sight (LOS) is estimated from the dust maps of Schlafly & Finkbeiner (2011), at the position of each galaxy on the sky. After these corrections, we applied an average filter along the spatial direction of the datacubes, as described in Poggianti et al. (2017b), using a 5 × 5 pixel kernel, corresponding to the seeing of our observations (∼1″).

3.2. Modeling stellar emission and kinematics with full-spectral fitting

A proper treatment of the stellar continuum emission is essential for retrieving stellar kinematics and subtracting the stellar component to accurately estimate nebular emission line fluxes, particularly for the Balmer recombination lines, whose line profiles are often superimposed on absorption features produced by young and intermediate-age stellar populations (González Delgado & Leitherer 1999; González Delgado et al. 1999).

To ensure a sufficiently high signal-to-noise ratio (S/N) in the modeled spectra, we applied the Voronoi binning technique (Cappellari & Copin 2003), using the weighted Voronoi tessellation adaptation (Diehl & Statler 2006). The binning targets S/N = 302 across featureless continuum spectral regions. These spectral windows are carefully selected via visual inspection for each galaxy to avoid contamination from emission-line features from potentially unmasked foreground or background sources within the FoV. For UG101 and UG103, these regions correspond to 5130 ≲ λrest [Å] ≲ 5300 and 5320 ≲ λrest [Å] ≲ 5490, respectively. Stars and spaxels with S/N ≤ 2 over these spectral windows are masked prior to the binning.

We modeled the stellar continuum emission in each Voronoi bin using the full-spectral fitting code PPXF (Penalized Pixel-Fitting; Cappellari & Emsellem 2004; Cappellari 2017). The input spectra were fitted by PPXF through a convolution of simple stellar population (SSP) templates with the LOS velocity distribution. To ensure that any deviations between the fitted templates and the observed spectra originate solely from the broadening caused by the galaxy LOS distribution, we matched the spectral resolution of the stellar templates to the instrumental line spread function3) using a 1D wavelength-dependent Gaussian kernel. We adopted the MILES (Vazdekis et al. 2010) SSP models, with a Chabrier (2003) IMF and the PADOVA2000 evolutionary tracks (Girardi et al. 2000), within the stellar mass range of 0.1 M–100 M. Due to the contamination from residual sky lines at near-IR wavelengths, the fitting is restricted to λrest ≤ 7000 Å. We derived stellar emission intensity, LOS velocity and velocity dispersion maps (moment 1 and 2, respectively) and the h3 and h4 moments using a 12th-order additive Legendre polynomial to correct the shape of the template continuum during the fit (e.g., as in Poggianti et al. 2017b).

3.3. Modeling ionized gas emission

3.3.1. Spaxel selection

When the galaxies of interest occupy a relatively small portion of the observed FoV, fitting all the spaxels is unnecessary and computationally inefficient, as many spaxels contain no relevant information. To preselect the spaxels for the emission-line fitting, we first created a 2D boolean mask based on the S/N of Hα, which is typically the brightest emission feature. An accurate estimate of (S/N)Hα was formally obtained from the fitting procedure itself; however, an initial proxy was required at this stage. We therefore estimated (S/N)Hα prior to fitting by applying a top hat filter centered on the Hα – computed using the stellar redshift derived from PPXF – and adopted the following approximation (Rola & Pelat 1994):

( S / N ) H α 2 π N 6 × A H α σ cont , Mathematical equation: $$ \begin{aligned} (\mathrm{S/N} )_{\mathrm{H} \alpha } \approx \frac{\sqrt{2\pi N}}{6} \times \frac{A_{\mathrm{H} \alpha }}{\sigma _{\mathrm{cont} }}, \end{aligned} $$(1)

where AHα is the peak flux value within the spectral window, N is the number of spectral pixels within this window, and σcont is the standard deviation of the flux density in adjacent featureless continuum regions. We note that contamination from nearby [N II] lines is possible, and in particular physical conditions the flux peak can correspond to [N II] λ6583 instead of Hα. However, this does not impact the spaxel selection. Since Eq. (1) provides only an approximate estimate and to ensure faint ionized gas emission is not missed, we adopted a conservative selection threshold of (S/N)Hα ≥ 1 to identify the spaxels to be included in the emission-line fitting.

3.3.2. Emission-line fitting

To estimate the ionized gas physical properties, we fit the following emission lines: Hα, Hβ, [O III] λλ4959,5007, [O I] λλ6300,6364, [N II] λλ6548,6583, and [S II] λλ6716,6731. To model the emission-line profiles, we used the IFSCUBE4 Python package (Ruschel-Dutra et al. 2021), adopting single Gaussian components, and using the same spectral range applied for the stellar continuum fitting described in Sect. 3.2. The continuum emission is modeled using the best-fit stellar emission from PPXF. To model the pseudo-continuum after subtraction of the stellar emission, a supplementary 5th-order polynomial is adopted, with a 3σ rejection threshold. As described in Sect. 3.2, the best-fit stellar emission is obtained for each Voronoi bin. To rescale these solutions to the native spaxel resolution, we adopted the simplifying assumption that the stellar emission at the spaxel resolution differs from the corresponding binned solution only by a multiplicative scale factor. This factor is derived from the median difference between the observed spectrum of each spaxel and the corresponding bin spectrum, after masking all emission lines. For a previous application of this methodology, we refer the reader to Cid Fernandes et al. (2013) and Della Bruna et al. (2020).

A different strategy was adopted for the emission-line fitting of spaxels with S/N ≤ 2 over the featureless continuum. This is a relatively common situation, since Hα emission is often detected at larger galactocentric distances than the stellar continuum. At these locations, we instead adopted a boxcar median filter to model the continuum, using a spectral width of Δλ = 200 Å5. As constraints, we assumed the theoretical line ratios [O III] (λ5007/λ4959) = 2.98 and [N II] (λ6583/λ6548) = 3.07 (Storey & Zeippen 2000; Osterbrock & Ferland 2006), as well as kinematic groups (i.e., transitions from the same ion species have bound kinematical properties). To estimate the uncertainties on the amplitudes and two first moments of the fitted Gaussian profiles, we performed 150 Monte Carlo Markov chain realizations per spectrum, drawing realizations from the variance of the datacube. Emission-line flux uncertainties were computed by IFSCUBE following the empirical relation (Lenz & Ayres 1992; Wesson 2016):

δ f = f 0.67 × δ A A × Δ λ FWHM , Mathematical equation: $$ \begin{aligned} \delta f = \frac{f}{0.67} \times \frac{\delta A}{A} \times \sqrt{\frac{\Delta \lambda }{\mathrm{FWHM} }}, \end{aligned} $$(2)

where f is the integrated emission-line flux, A and δA are the amplitude of the line profile and its uncertainty, respectively, Δλ is the wavelength sampling interval, and FWHM is the spectral full width at half maximum. In Appendix B we present examples of fitted spectra for reference. The physical properties of the ionized gas for each galaxy, derived from the emission-line fitting technique described in this section, are presented in Sect. 5.

3.4. Spatially resolved star formation histories and stellar masses

We modeled the spatially resolved SFH of our galaxies using the spectrophotometric code SINOPSIS (Fritz et al. 2007, 2011, 2014; Fritz et al. 2017), which uses the stellar redshifts derived from PPXF as input. In order to model the stellar emission, SINOPSIS searches for the combination of SSP models that best reproduces the observed spectra, based on the measurement of the equivalent widths of emission and absorption features covering all the spectrum. Average SFRs, as well as the mass of stars formed, are computed within four main age bins: SFR1 (ongoing SF) ≡ t < 2 × 107 yr, SFR2 ≡ 2 × 107 ≤ t [yr]< 5.7 × 108, SFR3 ≡ 5.7 × 108 ≤ t [yr]< 5.7 × 109, and SFR4≡ t ≥ 5.7 × 109 yr. For a detailed discussion regarding the choice of these age intervals, we refer the reader to Sect. 5 of Fritz et al. (2007).

For the youngest age bin, SINOPSIS incorporates predicted Balmer line intensities into the models, obtained from the spectral energy distribution of t ≤ 20 Myr stellar ionizing sources using CLOUDY (Ferland et al. 2013). Dust extinction is estimated from the observed Hα/Hβ emission line ratio and applied to the models following the selective extinction hypothesis (Calzetti et al. 1994). The full-spectral fitting is performed on a spaxel-by-spaxel basis, and spaxels without detectable Hα emission (S/NHα ≲ 3) are set to SFR1 ≡ 0. To avoid including low S/N data, only spaxels with S/N ≥ 2 over the featureless continuum are considered for SFR2, SFR3 and SFR4.

We used the spatially resolved estimates of the stellar masses from SINOPSIS to compute total stellar masses. These values were obtained by summing the stellar mass over all spaxels within the galaxy boundaries (see Sect. 3.6.2) with continuum S/N ≥ 2. Additionally, we computed the luminosity- and mass-weighted ages of the galaxies (for a formal definition of these quantities, we refer the reader to Equations 7 and 8 of Fritz et al. 2011).

3.5. Physical properties derived from the emission-line fluxes

3.5.1. Dust attenuation correction

To correct the measured emission-line fluxes by dust attenuation, we calculated the color excess E(B − V) and its uncertainty via Balmer decrement:

E ( B V ) = 2.5 k ( λ H β ) k ( λ H α ) log 10 [ ( H α / H β ) obs ( H α / H β ) int ] Mathematical equation: $$ \begin{aligned} E_{(B - V)}&= \frac{2.5}{k(\lambda _{\mathrm{H} \beta }) - k(\lambda _{\mathrm{H} \alpha })} \ \mathrm{log} _{10} \bigg [\frac{(\mathrm{H} \alpha /\mathrm{H} \beta )_{\mathrm{obs} }}{(\mathrm{H} \alpha /\mathrm{H} \beta )_{\mathrm{int} }} \bigg ] \\ \delta E_{(B - V)}&= \frac{1.086}{k(\lambda _{\mathrm{H} \beta }) - k(\lambda _{\mathrm{H} \alpha })} \ \sqrt{\bigg (\frac{\delta \mathrm{H}\alpha }{\mathrm{H}\alpha }\bigg )_{\mathrm{obs} }^{2} + \bigg (\frac{\delta \mathrm{H}\beta }{\mathrm{H}\beta }\bigg )_{\mathrm{obs} }^{2}}, \end{aligned} $$(3)

δ E ( B V ) = 1.086 k ( λ H β ) k ( λ H α ) ( δ H α H α ) obs 2 + ( δ H β H β ) obs 2 , Mathematical equation: $$ \begin{aligned} E_{(B - V)}&= \frac{2.5}{k(\lambda _{\mathrm{H} \beta }) - k(\lambda _{\mathrm{H} \alpha })} \ \mathrm{log} _{10} \bigg [\frac{(\mathrm{H} \alpha /\mathrm{H} \beta )_{\mathrm{obs} }}{(\mathrm{H} \alpha /\mathrm{H} \beta )_{\mathrm{int} }} \bigg ] \\ \delta E_{(B - V)}&= \frac{1.086}{k(\lambda _{\mathrm{H} \beta }) - k(\lambda _{\mathrm{H} \alpha })} \ \sqrt{\bigg (\frac{\delta \mathrm{H}\alpha }{\mathrm{H}\alpha }\bigg )_{\mathrm{obs} }^{2} + \bigg (\frac{\delta \mathrm{H}\beta }{\mathrm{H}\beta }\bigg )_{\mathrm{obs} }^{2}}, \end{aligned} $$(4)

where Hα and Hβ are the emission-line fluxes, δHα and δHβ are their corresponding uncertainties, and k(λHα) and k(λHβ) are the values of the adopted dust reddening law evaluated at the wavelengths of Hα and Hβ, respectively. As mentioned earlier, we adopted the reddening law of Cardelli et al. (1989) with RV = 3.1. Assuming case B recombination (i.e., photons are reabsorbed immediately after being emitted within the nebula), an electron density of Ne = 100 cm−3, and an electron temperature of Te = 104 K, the intrinsic Balmer decrement is (Hα/Hβ)int = 2.863 (Osterbrock & Ferland 2006; López-Sánchez et al. 2015).

3.5.2. Ionization mechanisms

To determine the dominant ionization mechanism across the ISM, we used the emission-line fluxes to construct spatially resolved diagnostic diagrams, commonly referred to as the Baldwin, Phillips, and Terlevich (BPT) diagrams (Baldwin et al. 1981; Veilleux & Osterbrock 1987). We used three diagnostic diagrams, namely BPT–[N II], BPT–[S II], and BPT–[O I]. In all diagrams we adopted the theoretical dividing line from Kewley et al. (2001) to identify spaxels ionized predominantly by OB stars. For BPT–[N II], we use the empirical line from Kauffmann et al. (2003) to identify spaxels with composite ionization. To separate AGN and low-ionization nuclear emission-line region (LINER) ionization mechanisms, we used the dividing lines from Sharp & Bland-Hawthorn (2010) and Kewley et al. (2006) in BPT–[N II] and BPT–[S II]/BPT–[O I], respectively. Only emission lines with S/N ≥ 4 were used to classify the ionization mechanism in each galaxy. The identification of the dominant ionizing mechanism was done following the classification of each spaxel according to the BPT–[N II] diagram.

3.5.3. Star formation rates

Since the SFR is proportional to the production rate of ionizing photons (Kennicutt 1998), Balmer recombination lines are particularly useful to trace the SFR over short (t ≲ 10 Myr) timescales. This timescale corresponds to the typical lifetime of OB stars, the main responsible for the ionizing flux budget in SF regions. We adopted the Kennicutt (1998) calibration and a Chabrier (2003) IMF:

log [ SFR M yr 1 ] = log [ L H α , 0 erg s 1 ] 41.34 Mathematical equation: $$ \begin{aligned} \log \bigg [\frac{\mathrm{SFR} }{M_{\odot }\,\mathrm{yr} ^{-1}} \bigg ] = \log \bigg [\frac{L_{\mathrm{H} \alpha , 0}}{\mathrm{erg} \,\mathrm{s} ^{-1}} \bigg ] - 41.34 \end{aligned} $$(5)

where LHα, 0 is the luminosity of de-reddened Hα emission line. To compute LHα, 0 we calculated the luminosity distance (dL) considering the redshift of each galaxy. We applied Eq. (5) only to those spaxels identified as SF by the BPT–[N II] diagnostic diagram. We computed total SFRs by summing the contribution of all star forming spaxels with S/N ≥ 4 in Hα.

3.6. Structural parameters

3.6.1. Elliptical isophote fitting

To derive structural parameters of each galaxy, we used Cousins/I images generated from the MUSE datacube to model surface brightness profile of each galaxy using elliptical isophote fitting, employing the iterative method extensively described by Jedrzejewski (1987) and as implemented by PHOTUTILS6. In this approach, the intensity profile is expressed in terms of a Fourier series expansion in azimuthal angle, with lower-order (≤2) coefficients corresponding to physical structural parameters – i.e. ellipse center, position angle (PA) and ellipticity (ϵ) – and higher-order coefficients accounting for deviations from purely elliptical shapes (Monteiro-Oliveira et al. 2025). Before performing the fit, SEP is applied to the I-band images. The generated segmentation maps are used to mask foreground and background sources, and the resulting global background level defines the intensity threshold at which the elliptical isophote fitting stops. To estimate the characteristic extent of the stellar disk, we derived the half-light radius (Re) from the luminosity profile L(R), which can be calculated as follows:

L ( R ) = 2 π 0 r max I ( r ) [ 1 ϵ ( r ) ] r d r , Mathematical equation: $$ \begin{aligned} L(R) = 2\pi \int \limits _{0}^{r_{\mathrm{max} }} I(r)\, [1 - \epsilon (r)]\,r\mathrm{d} r, \end{aligned} $$(6)

where I(r) is the azimuthally averaged surface-brightness profile, ϵ(r) is the ellipticity profile, and r denotes the semimajor axis. The integration is carried out up to rmax, corresponding to the semimajor axis of the outermost fitted isophote, within which I(r = rmax) approaches the background level. Re is then computed from the expression L(r = Re)/L(r = rmax) = 0.5. To calculate the disk inclination i, we adopted the expression:

cos 2 i = ( 1 ϵ ) 2 q 0 2 1 q 0 2 , Mathematical equation: $$ \begin{aligned} \cos ^2 i = \frac{(1 - \epsilon )^2 - q_0^2}{1 - q_0^2}, \end{aligned} $$(7)

where we assume an intrinsic ellipticity for galaxies of q0 = 0.13 (Giovanelli et al. 1994). To derive a single inclination value we used the mean ellipticity beyond Re. Inner isophotes are not considered for the mean because they are derived from fewer data points and are also more sensitive to central structural features such as bars. The derived properties for each galaxy and their estimated uncertainties are listed in Table 1.

Table 1.

Global properties of UG101, its companion UG101b, and UG103.

3.6.2. Galaxy boundaries

To estimate the approximate extent of each galaxy’s stellar body, we adapted the method described by Gullieuszik et al. (2020): First, we determined the center of each galaxy by computing the flux-weighted position of all spaxels within an aperture large enough to cover almost the entire galaxy, after masking stars. This mask, determined by visual inspection, ensures no overlapping sources or excessive background contribution can shift the white-light flux-weighted position. The sky coordinates of the center of each galaxy are listed in Table 1.

Galaxy contours are then computed down to the background + 3σ level using the same Cousins/I image as in Sect. 3.6.1. This band was chosen for this analysis because it lies entirely within the MUSE spectral range and, being in the redder part of the spectrum, its continuum emission is dominated by older stellar population. The resulting isophotes therefore trace the stellar light distribution independently of the one derived via the PPXF full spectral fitting described in Sect. 3.2. Background subtraction is performed with SEP (Bertin & Arnouts 1996; Barbary 2016).

In Gullieuszik et al. (2020), this approach was applied to jellyfish galaxies with extended optical tails. To prevent the tails from dominating the isophotes, an ellipse was fitted to the truncated disk edge and this elliptical shape was then preserved on the opposite side of the disk. In this work, in contrast, we modeled galaxies without prominent optical tails. Therefore, we adapted the method and fit the ellipses on disk regions free of spiral arms to prevent the unwound arms from driving the shape of the isophotes. The derived contours provide a visual reference for the extent of the main stellar body, particularly in Sects. 5.1 and 5.2, where we assess the galactocentric radius at which tidal forces become significant.

4. Selection of representative candidates

Within the sample of 13 galaxies observed with MUSE by the ESO program 109.23DA (PI: B. Vulcani), all characterized by strong perturbations and a nearly face-on orientation, we now describe the selection of two unwinding galaxies, chosen as candidates for RPS- and tidal-driven perturbations, whose stellar and ionized-gas properties will be used to distinguish between these two mechanisms.

4.1. UG101: A tidal interaction candidate

To select a tidal candidate, we prioritized the presence of at least one nearby companion in projection, preferentially fully covered by the VLT/MUSE observations to enable a more complete characterization of the potentially interacting system. UG101 (top panel of Fig. 1, also known as WINGS J132716.69-314914.4), satisfies this criterion: it has a companion, UG101b (WINGS J132714.64-314924.4), located at a projected distance of ∼28″ to the southwest (right bottom corner in the top panel of Fig. 1), corresponding to a physical distance of ∼26.5 kpc at the redshift of the host cluster (Abell 3558 in the Shapley supercluster, zcl = 0.04829, σcl = 910 ± 44 km/s, R 200 = 1 . 95 0.11 + 0.16 Mathematical equation: $ R_{200} = 1.95_{-0.11}^{+0.16}\, $Mpc; Biviano et al. 2017). The system lies at projected cluster-centric distances of 1.23 Mpc (i.e., 0.63 R200).

Using the VLT/MUSE observations, we estimate z = 0.04548 ± 0.0005 for UG101 and 0.04871 ± 0.00005 for UG101b, in good agreement with previous literature values (0.04512 ± 0.0002 and 0.04874 ± 0.0001, respectively; Moretti et al. 2017; Haines et al. 2018). The main physical properties of the two galaxies, including stellar mass, redshift, and projected distance, are listed in Table 1. The projected velocity of UG101 implies |v/σcl| ≈ 0.9, while the relative speed between the two galaxies (|vdiff| ∼ 923 ± 19 km/s) does not exclude a short-lived flyby. The uncertainties and assumptions behind these estimates are discussed in Sect. 5.1. Morphologically, the disturbed arms of UG101 are preferentially extended eastward, opposite to UG101b. Although no tidal bridge is detected, one-sided tidal arms can arise in galaxy pairs (e.g., Struck & Smith 2012; Wen & Zheng 2016). A quantitative assessment of the tidal force potentially exerted by UG101b on UG101 is presented in Sect. 5.1. The location of UG101 in the projected phase-space diagram (Rhee et al. 2017) places it in a relatively uncertain region: it is most likely (∼40%) a recent cluster infaller, but there is a non-negligible probability (∼15%) that it is either an intermediate or ancient infaller. In these regions of the phase space, infall times (tinf) can vary between 2 and 8 Gyr depending on the galaxy’s accretion history (see Fig. 6 in Rhee et al. 2017).

4.2. UG103: An RPS candidate

To select the RPS-induced unwinding candidate, we first searched for galaxies without a clear nearby companion. We selected UG103 (bottom panel of Fig. 1), also known as WINGS J132704.25-311338.5, which exhibits a clear unwinding spiral arm to the southeast. Despite UG103 lying in a relatively overdense region (1.4262 galaxies per Mpc2; Vulcani et al. 2023), we find that, within a projected radius of 200 kpc and a velocity difference of ≤1500 km/s, its closest neighbor (WINGS J132707.35-311138.1) lies at a projected distance of ∼124″ (∼117 kpc at the cluster redshift). To first order, the apparent lack of close companions with the strongly disturbed spiral structure make UG103 a good candidate for RPS-driven unwinding galaxy.

UG103 is also member of Abell 3558, located at a projected cluster-centric distance of ∼1.08 Mpc (i.e., 0.55 R200). From its projected velocity, we derive |v/σcl| ≈ 1.7 for UG103. The location of this on the projected phase-space diagram suggests that it is likely (∼70%) a recent cluster infaller, with an estimated time since infall of tinf ∼ 1.6 Gyr. More details on the galaxy properties are given in Table 1.

4.3. Pitch angles

Until now, unwinding galaxies have been identified primarily through visual inspection, based on the apparent loosening of their spiral arms. UG101 was classified as UClass = 3 and UG103 as UClass = 4 according to the visual scheme of Vulcani et al. (2022). To move beyond this qualitative selection, we adopted a quantitative approach by measuring the pitch angle, which characterizes the tightness of the spiral arms. Pitch angles are defined as the angle between each spiral arm and the tangent to a circle in the plane of the disk. A fully wound spiral exhibits a global pitch angle of 0°, corresponding to a circular morphology, while unwinding arms open up under external perturbations, showing radially increasing pitch angles. B21 found that, in their sample, pitch angles show a radial dependence, with the inner arms – usually defined as those confined within a galactocentric radius of 2 Re – exhibiting systematically lower pitch angles than arms extending to larger radii. Rather than a progressive opening of the arms, they reported an abrupt increase in the pitch angles beyond ∼2 Re. For RPS-driven unwinding, the numerical simulations presented in B21 show that the resulting unwinding patterns also depend on the ICM wind direction.

To measure the pitch angles, we used both the Hα emission-line maps (see Sects. 3.3, 5.1.3, and 5.2.3) and the color-composite images to trace the spiral arms of each galaxy. We first deprojected the maps with ASTWARP (Akhlaghi & Ichikawa 2015) by rotating them around the galaxy center according to each galaxy’s PA, followed by a 1/cos i stretching along the minor axis to correct for inclination. We then marked points along the spiral arms via visual inspection of the deprojected images; these positions are shown as crosses in Fig. 2. The spiral arms are traced outward from the galaxy center, and in UG103, we additionally mark clear bifurcations at larger radii. The pitch angles of each arm are measured starting from their outermost point. For each marked position, we identified the three nearest points (in polar coordinates) belonging to that same spiral arm and performed a linear fit, iteratively moving toward the galaxy center. The pitch angles were derived from the slope of this fit in polar space. The resulting curves are shown in red in the left-hand panels of Fig. 2, smoothed using a spline function for improved visualization.

Thumbnail: Fig. 2. Refer to the following caption and surrounding text. Fig. 2.

Left panels: Deprojected Hα emission-line maps of UG101 (top) and UG103 (bottom), in polar coordinates. The angular coordinate (ϕ) starts from the north direction and increases counterclockwise. Only spaxels with S/N ≥ 4 are displayed, and stars are masked. Positions are marked along the spiral arms of each galaxy (“x” marks). The inclination of the curve connecting these points was computed to measure the pitch angle of each spiral arm, and the red curves show the smoothed fit. The horizontal cyan line marks 2 Re. Right panels: Color-composite images of each galaxy with re-projected positions overlaid to highlight the unwound spiral arms. The dashed cyan line shows the elliptical isophote with a semimajor axis equal to 2 Re. In all panels, the orange text marks the labels assigned to each identified spiral arm.

To confirm the unwinding nature of UG101 and UG103, we measured and analyzed their global and radially resolved pitch angles. In Table C.1 we report the global mean pitch angles, as well as the mean inner and outer pitch angles, considering all the identified spiral arms of UG101 and UG103 shown in Fig. 2. For UG101, we measure pitch angles of 28.4° and 34.8° for the inner and outer arms, respectively, while for UG103 the corresponding values are 28.8° and 44.4°. We compared these measurements with the results reported in B21.

For their control sample of undisturbed spiral galaxies, B21 found similarly low pitch angles for inner and outer arms (21.1° and 21.3°, respectively). In contrast, RPS-induced unwinding galaxies show a clear radial increase in pitch angle, from a mean value of 18.2° in the inner arms to 37.3° in the spiral arms beyond 2 Re. The pitch angles measured for both UG101 and UG103 exceed those of the control sample and show a radial increase consistent with the unwinding scenario, quantitatively supporting their classification as unwinding galaxies, as initially suggested by the visual inspection of Vulcani et al. (2022).

5. Results

We are now in the position of presenting the spatially resolved properties of UG101 and UG103 to identify the dominant external mechanism responsible for their disturbed spiral arms.

5.1. Confirming the tidal nature of UG101

As mentioned in Sect. 4, the projected proximity and apparent fly-by encounter with UG101b make UG101 a suitable system to investigate whether and how gravitational disturbances can drive the spiral-arm unwinding observed in this galaxy. First, we quantified the strength of the tidal forces exerted by UG101b. To this end, we adopted the impulse approximation to express the ratio between tidal and centripetal acceleration as (Henriksen & Byrd 1996; Vollmer et al. 2005; Watson et al. 2025):

| a tid a gal | = M pert R 2 M gal × | 1 r 2 1 ( r R ) 2 | , Mathematical equation: $$ \begin{aligned} \left| \frac{a_{\mathrm{tid} }}{a_{\mathrm{gal} }} \right| = \frac{M_{\mathrm{pert} }\,R^2}{M_{\mathrm{gal} }} \times \left| \frac{1}{r^2} - \frac{1}{(r - R)^2} \right|, \end{aligned} $$(8)

where r is the projected separation between the interacting galaxies, R is the projected galactocentric radius at which tidal features appear visible, and Mpert and Mgal are the stellar masses of the perturbing and main galaxies, respectively7. Following previous works (e.g., Merluzzi et al. 2016; Vulcani et al. 2021), we assumed that tidal interactions significantly perturb the morphology of a galaxy when |atid/agal| ≥ 0.15. By inverting Eq. (8), we derived the tidal radius (Rtid) beyond which galaxy regions are expected to be affected by the gravitational field of companion. The region of tidal influence of UG101b on UG101 is shown in Fig. 3 (the semimajor axis corresponds to Rtid). We find Rtid ≈ 1.5 Re, with the ellipse entirely contained within the main body of UG101. Notably, the unwinding features are predominantly observed outside this region. In particular, a few prominent clumpy features are visible on the eastern side of the disk, opposite to the location of the companion.

Thumbnail: Fig. 3. Refer to the following caption and surrounding text. Fig. 3.

Grayscale Cousins/I image of UG101 and UG101b, generated from the MUSE datacube. The center of UG101 is marked with a magenta cross. The thin cyan line represents the UG101 main body, derived as described in Sect. 3.6.2. The dashed blue ellipse indicates the location where tidal forces from UG101b reach ∼15% of the centripetal force from the main galaxy (Rtid). The dotted yellow ellipse shows this value now considering the net tidal force from the host cluster, A3558. For reference, the shaded green region marks the galactocentric distance of 2Re ± σRe.

We caution against over-interpreting the derived Rtid, as it is based on the present-day projected separation between the two systems, that is a lower limit of their 3D separation. Furthermore, if UG101 and UG101b were closer in the past, the region enclosed by the dashed blue ellipse in Fig. 3 would have been smaller, implying that the tidal influence of UG101b on UG101 would be underestimated. Conversely, if the two galaxies are currently approaching each other, the tidal interaction would have been weaker at earlier times. Nevertheless, the true 3D separation is uncertain, and the derived value of vdiff ∼ 923 km/s is only a lower limit, as it does not account for the transverse motions of the galaxies in the plane of the sky.

We also considered the presence of alternative companions for UG101, which resides in an overdense region with a local density of ∼1.43 galaxies per Mpc2 (Vulcani et al. 2023). Using the OMEGAWINGS spectroscopic catalog (Moretti et al. 2017), we searched for confirmed cluster members within a projected distance of ∼200 kpc from UG101, applying a velocity separation threshold of 1500 km/s. Besides UG101b, we find only one cluster member satisfying these criteria, which is WINGS J132705.52-315035.1. Although its LOS velocity difference relative to UG101 is small (∼12 km/s), its large projected distance (≳150 kpc) makes it unlikely to currently exert a gravitational influence comparable to UG101b. Finally, we considered the net tidal force exerted by the host cluster, which has also been proposed as a potential driver of spiral-arm unwinding in N-body simulations (e.g., Semczuk et al. 2017), following a similar approach as in Watson et al. (2025). We applied Eq. (8) using r as the projected clustercentric distance of UG101 and Mpert as the cluster mass enclosed within this radius (i.e., Mcl(< r)). We estimated this quantity using the mass profile of Burkert (1995), with the A3558 properties derived by Biviano et al. (2017). For UG101, we obtain M cl ( < r ) = ( 4 . 0 2.3 + 2.4 ) × 10 14 M Mathematical equation: $ M_{\mathrm{cl}}( < r) = (4.0_{-2.3}^{+2.4}) \times 10^{14}\,M_{\odot} $ (∼0.63 M200), which yields Rtid, cl ≈ 13.5 kpc (≃2.59 Re). For reference, this region is shown in Fig. 3. Although the cluster contribution is non-negligible, the corresponding tidal radius is nearly twice that derived for UG101b. Taken together, these results indicate UG101b is the main candidate for the spiral-arm perturbations observed in UG101. In the following sections, we inspect whether UG101’s kinematics and spatially resolved properties support this scenario.

5.1.1. Stellar and ionized gas kinematics

As mentioned before, gravitational perturbations, such as tidal interactions, are expected to affect both the stellar and gaseous components of galaxies, although with different signatures (Barton et al. 1999; Fuentes-Carrera et al. 2004; Pedrosa et al. 2008; Smith et al. 2025; Lassen et al. 2026). While stars behave collectively as a collisionless component (Binney & Tremaine 2008), the ionized gas is collisional and dissipative, and therefore more sensitive to compression and turbulence. A comparison between stellar and ionized-gas kinematics thus provides a powerful diagnostic of the nature and impact of environmental processes. Given that both components are expected to become increasingly irregular under the action of tidal perturbations, in Fig. 4 we present the ionized gas (ΔvHα and σHα) and stellar kinematics (Δv and σ) of UG101 and UG101b.

Thumbnail: Fig. 4. Refer to the following caption and surrounding text. Fig. 4.

Top-left panel: Ionized gas kinematics of UG101 and UG101b. Only spaxels with (S/N)Hα ≥ 4 are shown, and the systemic velocity of each galaxy is subtracted. In gray, we represent the slit element used to derive rotation curves (see text), which is aligned to the kinematic semimajor axis. Top-right panel: Gas-phase velocity dispersion of both galaxies, traced by their rest-frame Hα emission. Displayed values are corrected for instrumental broadening. Bottom-left panel: Stellar velocity field of both galaxies, derived with PPXF (see text). Bottom-right panel: Stellar velocity dispersion. For better visualization, the stellar velocity and velocity dispersion maps are smoothed using a local weighted regression, as implemented by the LOESS2D Python package (Cappellari et al. 2013).

The velocity ranges spanned by Δv and ΔvHα are similar, generally confined within ±100 km/s across most locations. For UG101b, the velocity range is lower than in UG101 for both stars and ionized gas. Unlike UG101, its ionized gas is detected at individual spaxel resolution only at the innermost regions of the galaxy.

The dispersion maps of UG101 (σHα and σ) display irregular, non-axisymmetric patterns. Values are generally low (≲50 km /s), except on the western edge of UG101, where σHα can reach values above 100 km/s. Although the increase in dispersion values at the disk edges may partially result from a noisier continuum – leading to less accurate pseudo-continuum modeling – their preferential location on the side facing the companion could also reflect enhanced turbulence due to gas compression. Despite having nearly identical stellar masses, UG101 and UG101b display clearly distinct morphologies. Their kinematics further highlight these differences: UG101 is rotationally supported, whereas UG101b is pressure supported.

To quantitatively assess the degree of asymmetry in the ionized-gas morphology and in the velocity fields shown in Fig. 4, we adopted the asymmetry parameter introduced by Lelli et al. (2014) and (Vulcani et al. 2021):

A = 1 N i , j N [ | I ( i , j ) | | I 180 ° ( i , j ) | ] 2 [ | I ( i , j ) | + | I 180 ° ( i , j ) | ] 2 , Mathematical equation: $$ \begin{aligned} A = \frac{1}{N}\,\sum \limits _{i,j}^{N} \sqrt{\frac{\big [ \left| I(i,j) \right| - \left| I_{180^{\circ }}(i,j)\right| \big ]^2}{\big [ \left| I(i,j) \right| + \left| I_{180^{\circ }}(i,j)\right| \big ]^2}}, \end{aligned} $$(9)

where I0 are the original images, I180 are the image rotated by 180° around the galaxy center and N is the total number of valid pixels. The summation was performed over i, j pixels and normalized such that a perfectly symmetric system – i.e., an image unchanged under a 180° rotation – yields A = 0, while a fully asymmetric system reaches A = 1. Pixels in the rotated image without a corresponding counterpart in the original image are assigned Ai, j ≡ 1. Uncertainties are estimated via a Monte Carlo approach with 2000 realizations, in which the input images are perturbed by spatially correlated noise modeled with a Gaussian kernel. For Hα and ΔvHα, only spaxels with (S/N)Hα ≥ 4 are considered. For UG101 we measure A(Hα) = 0.64 ± 0.09, AvHα) = 0.41 ± 0.04, and Av) = 0.40 ± 0.1. These values indicate a markedly asymmetric ionized-gas distribution and kinematics, with asymmetries that are less pronounced but still significant in the stellar component.

Within this context, the rotation curves of the stellar and ionized-gas components provide a complementary and independent probe of the perturbations inferred from the 2D kinematic maps. We analyzed the rotation curves by extracting average gas and stellar velocity values along an artificial slit passing through the galaxy center (the slit is shown in Fig. 7). Since velocity fields are not necessarily aligned with the I–band photometric major axis, we defined the slit orientation using the kinematic PAs (PAkin) measured from the stellar and ionized-gas velocity fields. Using the Python package PAFIT (Krajnović et al. 2006; Cappellari et al. 2007), we obtained 88.5 ± 1° and 93.5 ± 2.8°, both in good agreement with the photometric value of PA = 90.8 ± 2.1°. The slit is sampled in elements of 2 . Mathematical equation: $ \overset{\prime \prime }{.} $5 perpendicular to the slit and 1″along it, over which the stellar and gas velocity values are averaged. To derive both rotation curves across the semimajor axis, as well as their corresponding uncertainties, we adopted the following equations (Begeman 1989):

v rot ( R ) = Δ v LOS sin i Mathematical equation: $$ \begin{aligned}&v_{\mathrm{rot} } (R) = \frac{\Delta v_{\mathrm{LOS} }}{\sin i} \end{aligned} $$(10)

σ v rot σ v LOS 2 sin 2 i + ( Δ v LOS cos i σ i sin 2 i ) 2 , Mathematical equation: $$ \begin{aligned}&\sigma _{v_{\mathrm{rot} }} \approx \sqrt{\frac{\sigma _{v_{\mathrm{LOS} }}^2}{\sin ^2 i} \ + \ \bigg (\frac{\Delta v_{\mathrm{LOS} } \,\,\cos i \,\,\sigma _i}{\sin ^2 i}\bigg )^2}, \end{aligned} $$(11)

where ΔvLOS ≡ vLOS(x, y)−vsys and i, σi are the disk inclination and its associated uncertainty. We adopted the average velocity at the galaxy center as the systemic velocity vsys. The resulting rotation curves are shown in Fig. 5, exhibiting a clear asymmetry between the approaching and receding sides of the disk. On the side opposite to the companion, the gas and stars exhibit nearly identical rotation velocities out to the last measured point, beyond 2Re. In contrast, on the companion-facing side, the gas rotates systematically faster than the stars by ∼25 km/s. At a reference distance of 8″ (∼1.4Re) along the slit, the gas velocity is similar on the two sides of the disk (∼ ± 120 km/s), whereas the stellar velocity ranges from −130 ± 7 km/s on the far side to +100 ± 6 km/s on the companion-facing side. The moderately slower stellar rotation on this side can be attributed to the gas being more rotationally supported than the stars, an effect commonly referred to as asymmetric drift (Nordström et al. 2004; Binney & Tremaine 2008).

Thumbnail: Fig. 5. Refer to the following caption and surrounding text. Fig. 5.

Stellar (orange) and ionized gas (blue) rotation curves in UG101, derived from a slit oriented according to the stellar kinematic PA (see text and also Fig. 7). Points show the average velocities within each slit element, while solid curves correspond to a 1D LOESS local regression (Cappellari et al. 2013), with shaded areas indicating the 3σ uncertainty. The x-axis corresponds to the distance along the slit from the galaxy center, with positive values corresponding to the side facing the companion (indicated in the figure). The dashed vertical lines mark a distance of Re, while the dotted line indicates a distance of 2 Re. The bottom frame shows the difference between gas and stellar velocities.

Overall, the stellar and gas kinematics of UG101 appear disturbed, and the galaxy presents a highly irregular σ distribution. Collectively, the evidence presented here points toward gravitational perturbations as the dominant external mechanism, rather than RPS. Nonetheless, additional analysis is needed to confirm this interpretation and to evaluate whether the two processes can act simultaneously in UG101.

5.1.2. Spatially resolved emission-line diagnostic diagrams

In Fig. 6 we present the spatially resolved BPT diagrams of UG1018. The ionized gas is predominantly excited by OB stars: the fractions of spaxels classified as star-forming (red points) are 99.7%, 93.4%, and 86.5% in the BPT–[N II], BPT–[S II], and BPT–[O I], respectively. In the BPT–[S II], 3.0% of spaxels fall in the AGN-like region and 3.6% in the LINER-like region, while in the BPT–[O I] these fractions are 3.6% and 9.9%.

Thumbnail: Fig. 6. Refer to the following caption and surrounding text. Fig. 6.

Emission-line diagnostic diagrams of UG101. Left panels: From top to bottom, BPT–[N II], BPT–[S II], and BPT–[O I]. The solid black and red curves correspond to the classification lines introduced by Kewley et al. (2001) and Kewley et al. (2006), respectively. In the BPT–[N II] diagram, the dotted green and dashed blue curves indicate the divisions proposed by Sharp & Bland-Hawthorn (2010) and Kauffmann et al. (2003), respectively. Each point corresponds to an individual spaxel, and only those with S/N ≥ 4 in all required lines are shown. Mean uncertainties in the line ratios are indicated in the bottom-right corner of each panel. The green square shows the position of the stacked spectrum considering all spaxels classified as LINERs in the BPT–[O I] diagram. Right panels: Spatial distribution of spaxels color-coded according to the left-hand diagrams, overlaid on the MUSE white-light image of UG101. Dashed contours indicate the extent of the galaxy main body, for reference.

In contrast to BPT–[N II], the other two diagnostic diagrams are more sensitive to the presence of shocks, especially the BPT–[O I] (Monreal-Ibero et al. 2010). This can be particularly informative in galaxy interactions/collisions, where mechanical shocks can be produced by the tidal forces during the interaction, sometimes resulting in off-nuclear regions classified as ionized by LINER-like mechanism (Monreal-Ibero et al. 2006, 2010; Rich et al. 2011; Law et al. 2021). In Fig. 6 we note a substantial number of spaxels classified as LINER-like in the BPT–[O I] diagram. These are mostly located near the galaxy edge, and – because [O I]λ6300 is intrinsically fainter than the other emission lines used in this diagram – are likely to have S/N ([O I]λ6300) ≈ 4. To assess whether these LINER-like classifications arise from uncertain [O I] measurements, we stacked the pure-gas spectra of these spaxels and refit the emission lines in the stacked spectrum following the procedure described in Sect. 3.3. The position of the stacked spectrum in all three diagrams is shown in Fig. 6: while the stacked spectrum is classified as SF in both the BPT–[N II] and BPT–[S II] diagrams, it lies consistently in the LINER locus of the BPT–[O I] diagram. This finding suggests that the classification of these spaxels is not driven by low S/N measurements, but rather likely reflects the genuine physical condition of the ionized gas at those locations (Poggianti et al. 2025).

5.1.3. Spatially resolved star formation rates

When tidal forces become significant, they can leave imprints on the ionized gas, such as the formation of tidal tails formed from the material pulled away from the galaxy, and bridges connecting the galaxy pair. As discussed throughout this work, tidal interactions can also affect the spiral structure, causing the arms to lose coherence and produce the “unwound” morphologies (Dobbs et al. 2010) like those observed in our sample of unwinding galaxies. Moreover, tidal interactions can funnel gas inward, leading to temporary SFR enhancements (Barnes & Hernquist 1996). While these enhancements can be global, tidal compression and shocks, combined with the inward gas flow, generally trigger central SFR bursts (Ellison et al. 2008; Moreno et al. 2015).

In Fig. 7 we show the ionized gas morphology of UG101, traced by Hα emission, as well as the Hα flux and the SFR surface density (ΣSFR), derived from Eq. (5) and normalized by the physical area of each spaxel.

Thumbnail: Fig. 7. Refer to the following caption and surrounding text. Fig. 7.

Ionized gas morphology of UG101 and its companion UG101b, traced by rest-frame Hα emission. Flux values have been corrected for dust attenuation (see text), except for UG101b, where Hβ is not detected. Spaxels with (S/N)Hα < 4 have been masked. A second colorbar shows the corresponding levels of surface density SFR (ΣSFR), derived from the Hα emission line shown in the top panel (see text). The black cross marks the galaxy center, and the light blue contour shows the galaxy I-band boundaries (see text).

The recent SF peaks in the center, along a stellar bar that is clearly visible in the color-composite image of UG101. Along spiral arm #2 (see Fig. 2), a prominent arm-like structure with several star-forming clumps is visible at ∼2Re. This feature, located on the galaxy side opposite to the companion, clearly traces the unwinding spiral structure previously identified in the optical images. On the side of the disk facing the companion, at least two SF regions extending beyond the stellar body (dashed line) are observed. A qualitative comparison between the stellar distribution and the ionized gas morphology in Fig. 7 shows that the gas reaches larger radii toward the northeast and southeast, while it is less extended toward the northwest. This asymmetric extension suggests that material has been displaced toward the east. Notably, the region where the ionized gas is less extended than the stellar component spatially coincides with the region exhibiting systematically elevated σHα values seen in Fig. 4.

UG101b is also shown in Fig. 7. Its Hα map is patchy in the galaxy outskirts, and no significant trends in ΣSFR are observed, likely due to its small size and the non-detection of Hβ even in the integrated spectrum. Therefore, the SFR values shown for the companion should be regarded as lower limits.

5.1.4. Spatially resolved star formation history

Maps of SFH are particularly useful to compare the distribution of stellar populations with different ages. In the case of tidal interactions, significantly different distributions are not expected, as the gravitational perturbation exerted by the companion acts on the gas and stars simultaneously, whereas RPS is expected to affect the gas alone (Gnedin 2003; Bellhouse et al. 2021; Smith et al. 2025; Lassen et al. 2026).

In the top panels of Fig. 8, we show maps of ΣSFR for UG101 and its companion across the four age bins of SINOPSIS. The galaxy exhibits an inside-out development: it is characterized by enhancedSF in its central regions in the second oldest bin (SFR3), while in the subsequent bin (SFR2) the SFR shifts outward, with elevated values toward the eastern side of the galaxy, coinciding with several spiral arms (e.g., #1, #2, #4, and #5; see Figs. 2 and 7). The companion shows a compact SFR distribution, with no clear trends across age bins. The bottom panel of Fig. 8 reports the integrated SFR value for each map.

Thumbnail: Fig. 8. Refer to the following caption and surrounding text. Fig. 8.

Top panels: SFH maps of UG101 and UG101b derived with SINOPSIS in three age bins and from Hα emission, as denoted in the figures. All four panels share the same color scale for ΣSFR. Bottom panel: Integrated SFH of UG101 (blue) and UG101b (orange). Shaded areas indicate the uncertainties on the SFR at each age bin.

UG101 shows a ∼35% increase in SFR from the oldest bin (SFR4) to SFR3, followed by a nearly constant rate of ∼1.2 M yr−1 over the subsequent ∼5 Gyr. The recent SFR shows a significant (≳30%) decline. Compared to SFR2 (1.24 ± 0.09 M yr−1), SFR1 from SINOPSIS over the past ∼20 Myr gives 0.85 ± 0.06 M yr−1, while the Hα-derived SFR, tracing SF over the past ∼10 Myr and including only spaxels with reliable SF emission, yields 0.77 ± 0.08 M yr−1. Both estimates yield consistent and comparable declines, with the Hα measurement adopted as the fiducial value for the most recent SFR. In contrast, UG101b follows a clearly different trend: its SFH steadily declines over its lifetime, consistent with the galaxy being currently passive and exhibiting a spheroidal morphology.

The luminosity-weighted age map shown in Fig. 9 provides additional evidence that the clumps seen along the unwinding feature #2 are very young. UG101 is overall young, with t L ¯ = 439 ± 2 Mathematical equation: $ \overline{t_L} = 439 \pm 2\, $Myr, implying that most of its stellar mass was assembled during the time spanned by the SFR3 and SFR2 age bins. In contrast, the clumps along feature #2 are only t L ¯ 20 Mathematical equation: $ \overline{t_L} \lesssim 20\, $Myr, approximately an order of magnitude younger than the galaxy average. For UG101b, we measure t L ¯ = 1.40 ± 0.02 Mathematical equation: $ \overline{t_L} = 1.40 \pm0.02\, $Gyr, consistent with the SFH presented in Fig. 8, which shows higher integrated SFRs at t ≳ 600 Myr, and a significant decline in SFR2. At earlier epochs, SF in UG101b was concentrated in the central regions, becoming uniformly low in the second age bin. Considering mass-weighted ages (plots not shown), which are less sensitive to the younger stellar populations and better traces the formation of the bulk of the stellar mass (Hopkins 2018), we obtain t M ¯ = 4.44 ± 0.01 Mathematical equation: $ \overline{t_M} = 4.44 \pm0.01\, $Gyr and t M ¯ = 6.38 ± 0.02 Mathematical equation: $ \overline{t_M} = 6.38 \pm0.02\, $Gyr for UG101 and UG101b, respectively.

Thumbnail: Fig. 9. Refer to the following caption and surrounding text. Fig. 9.

Maps of luminosity-weighted ages of UG101 and UG101b derived from SINOPSIS. Mean values obtained for each galaxy are outlined in the figure, for reference.

To further illustrate the spatial distribution of stellar populations of different ages in UG101 and constrain the timescales involved in the unwinding effect, in Fig. 10 we show contours derived from the SFR maps of the four main SINOPSIS age bins, following the approach of B21. The red contours indicate that the old stars are predominantly concentrated toward the galaxy center, with the exception of a compact structure located to the north, approximately where spiral arms #1 and #2 overlap in projection (see Fig. 2). This feature is also clearly visible in the color-composite image of the galaxy, where it contrasts with the nearby blue SF regions along spiral arm #2. This feature is unlikely a background or foreground source, given that it exhibits a velocity consistent with that of the surrounding regions (see, e.g., Fig. 4). The youngest stellar populations (SFR1) extend to the largest galactocentric distances but appear fragmented, tracing the star-forming regions along the unwound arms of UG101. Intermediate-age stars (SFR2) reach farther out than the old and oldest ones (SFR3 and SFR4) in most directions, indicating a gradual inside-out growth. Notably, SFR2 extends beyond SFR3 and SFR4, suggesting that these stars have also been displaced by the external perturbation that affected UG101.

Thumbnail: Fig. 10. Refer to the following caption and surrounding text. Fig. 10.

White-light image of UG101 (grayscale), overlaid with contours showing the distribution of the oldest (red – SFR4; t ≥ 5.7 Gyr), old (orange – SFR3; 5.7 Gyr < t ≤ 0.57 Gyr), intermediate-age (green – SFR2; 20 Myr < t ≤ 570 Myr), and youngest (blue – SFR1; t ≤ 20 Myr) stellar populations derived by SINOPSIS.

In Sect. 6.1 we summarize the results obtained for UG101 and discuss their implications regarding the external mechanism responsible for the unwinding of its spiral arms. We now proceed to the analysis of the next galaxy.

5.2. Confirming the RPS nature of UG103

As discussed in Sect. 4, the spiral arms of UG103 are strongly unwound, despite the absence of a close companion. We emphasize that, given UG103 is ∼0.9 dex more massive than UG101, it would be unlikely to overlook a galaxy capable of exerting sufficiently strong tidal forces to induce the perturbations seen in UG103.

Using WINGS J132707.35-311138.1, which is the closest identified possible companion and the most likely disturbing galaxy, we calculated Rtid for this pair using Eq. (8) and log (Mpert/M) ≈ 9.3 (Vulcani et al. 2022). The resulting Rtid is shown in Fig. 11. Unlike the case of UG101, Rtid is much larger than the galaxy, with Rtid ≈ 3.7 Re (which corresponds to ∼30 kpc at the cluster redshift). Therefore, it is unlikely that this companion can be the responsible for unwinding the spiral arms of UG103. As outlined in Sect. 5.1, we also investigated the tidal contribution from the host cluster. We obtain M cl ( < r ) = ( 3 . 4 1.9 + 2.1 ) × 10 14 M Mathematical equation: $ M_{\mathrm{cl}}( < r) = (3.4_{-1.9}^{+2.1}) \times 10^{14}\,M_{\odot} $ (∼0.54 M200), which yields Rtid, cl ∼ 26 kpc. This region is shown in Fig. 11. Unlike in the case of UG101, here we find Rtid, cl < Rtid, comp, which suggests that the main candidate source to exert tidal forces in UG103 is the net tidal force from the host cluster. Still, the estimated Rtid, cl exceeds substantially the extent of the observed unwinding features, confirming that cluster tides are not their primary driver. Moreover, if UG103 is currently infalling into the cluster, presumably this effect would have been weaker in the recent past.

Thumbnail: Fig. 11. Refer to the following caption and surrounding text. Fig. 11.

Grayscale Cousins/I image of UG103. Symbols and colors are the same as in Fig. 3.

5.2.1. Stellar and ionized gas kinematics

In Fig. 12 we present the LOS stellar and gas-phase velocity fields of UG103. The stellar velocity field displays a regular, ellipsoidal pattern with symmetric rotation. Its stellar velocity dispersion map shows a compact central peak, smoothly decreasing outward. In contrast, the ionized gas extends well beyond the stellar disk toward the southeast and northeast, while it appears truncated on the south and southwest sides, with the gas less extended than the stellar light distribution.

Thumbnail: Fig. 12. Refer to the following caption and surrounding text. Fig. 12.

Velocity fields for UG103. Colors and symbols have the same meaning as in Fig. 4. An arrow pointing toward the BCG has been added to the bottom-left corner of the top-left panel for reference.

We quantified the kinematic asymmetries, obtaining Av) = 0.16 ± 0.02 for the stellar component, confirming its largely undisturbed and symmetric rotation. The ionized gas, however, shows higher asymmetries: A(Hα) = 0.674 ± 0.05 and AvHα) = 0.56 ± 0.02, suggesting that the gas responds more strongly to external forces.

Rotation curves extracted along a slit aligned with the kinematic axes (Fig. 13) show that on the southern side of the disk – presumably facing the ICM wind toward the brightest cluster galaxy (BCG) – gas and stellar rotation curves behave similarly up to 12″ along the slit (∼1.4 Re), beyond which Hα emission drops below the detection threshold. The stellar component remains detectable farther out, maintaining an approximately constant rotation velocity of ∼75 km/s. On the opposite side, the stellar rotation remains above ≳50 km/s beyond Re, while the gas reaches higher velocities than on the southern side, particularly at radii larger than Re.

Thumbnail: Fig. 13. Refer to the following caption and surrounding text. Fig. 13.

Inclination-corrected rotation curve of the gas and stellar components of UG103. Colors and symbols have the same meanings as in Fig. 5.

The contrast between the largely undisturbed stellar kinematics and the asymmetric gas behavior is consistent with an early or mild stage of RPS. Similar signatures have been observed in other RPS candidates, such as SOS90630 in the Shapley supercluster (Merluzzi et al. 2016). While the kinematics alone cannot definitively confirm RPS, the combination of truncated gas, asymmetric gas rotation, and regular stellar motion strongly supports RPS as the main environmental mechanism affecting UG103.

5.2.2. Spatially resolved emission-line diagnostic diagrams

The spatially resolved diagnostic diagrams of UG103 are shown in Fig. 14. The vast majority of spaxels are classified as SF in the BPT–[N II] diagram, although the fraction of spaxels falling in the composite region is not negligible. They are concentrated around the galaxy center, which is ionized by SF. The fraction of spaxels classified as SF in BPT–[N II], BPT–[S II], and BPT–[O I] are 83.9%, 97.6%, and 83.9%, respectively. For LINER-like ionization, the corresponding fractions are 0.2%, 2.0%, and 14.7%, while AGN-like ionization accounts for 0.0%, 0.5%, and 1.4% of the spaxels.

Thumbnail: Fig. 14. Refer to the following caption and surrounding text. Fig. 14.

Same as Fig. 6 but for UG103.

Stacking all the spectra classified as LINER-like ionization according to the BPT–[O I] diagram, we find that this stacked spectra is classified as LINER only in the BPT–[O I] diagram. This suggests an [O I] excess, as reported in a few other RPS galaxies (Pedrini et al. 2022; Poggianti et al. 2025). The fact that this is consistently found in both tidal and RPS galaxies suggests that this excess is not due to a particular perturbing mechanisms, but may rather reflect a physical process related to the cluster environment.

5.2.3. Spatially resolved star formation rates and histories

In Fig. 15 we show the ionized gas morphology of UG103, traced by Hα emission, which reveals the spiral structure of the galaxy. Using the galaxy boundaries as visual reference, the major spiral arms are clearly seen opening toward the north, northwest, and southeast sides of the disk. Fragmented gas structures extend well beyond the stellar body on the southern side of the disk, in some region extending beyond the VLT/MUSE FoV.

Thumbnail: Fig. 15. Refer to the following caption and surrounding text. Fig. 15.

Same as Fig. 7 but for UG103.

We present the spatially resolved SFH in Fig. 16, along with the integrated SFR. UG103 reached its SFR peak at 570 Myr ≤t≤ 5.7 Gyr (11.1 ± 0.4 M yr−1), with SF concentrated preferentially in the galaxy center, where a stellar bar is clearly visible in the color-composite image. The central region of the galaxy is prominent in the SFR4 map, while it is no longer visible in the SFR2 age bin. A comparison across the SFR maps suggests an outside-in truncation: although the spatial extent of SF remains similar from SFR4 to SFR2, a clear decrease in SFR is visible in the outer regions at later times. In the SFR3 map, there is a notable central enhancement of star formation, consistent with the increase observed in the integrated SFR values. By SFR2, the SF remains spatially extended, but the central regions exhibit a decrease in SFR, possibly indicating the onset of quenching. Interestingly, in the most recent age bin (SFR1), SF shows a renewed central enhancement, while the outer disk appears truncated. This pattern is consistent with expectations from RPS, as previously reported by Vulcani et al. (2018, 2020b), where the central gas compression triggers a temporary SFR enhancement before ultimately leading to quenching (Vulcani et al. 2020a). Notably, Fig. 16 shows a relatively steep decline of the SFR in UG103: from SFR3 to SFR2, it decreases to 5.1 ± 0.2 M yr−1 (∼54%), with SFR(Hα) = 2.4 ± 0.2 M yr−1, which corresponds to a relative decrease of 54% and 79% with respect to SFR3 and SFR2, respectively.

Thumbnail: Fig. 16. Refer to the following caption and surrounding text. Fig. 16.

SFH maps (top) and integrated SFH (bottom) of UG103. Panels, symbols and colors are as in Fig. 8.

The luminosity-weighted mean age map (Fig. 17), shows the difference in shape between the youngest and older stellar populations. Clumpy structures along the spiral arms that are located closer to the center have mean ages on the order of log (t/yr)∼8.5, while SF regions closer to the ionized gas edge or along the unwound spiral arms are generally younger (blue spots in Fig. 17), with log (t/yr)≲7.5.

Thumbnail: Fig. 17. Refer to the following caption and surrounding text. Fig. 17.

Same as Fig. 9 but for UG103.

In Fig. 18 we present contours tracing the spatial distribution of different stellar populations in UG103, which allows us to reconstruct how its morphology has progressively evolved. The oldest stellar populations (SFR4) are distributed more symmetrically, while in the old stars (SFR3) the spiral structure begins to emerge, becoming more extended in the southeast and northwest directions. In contrast, the intermediate-age (SFR2) and young (blue) populations appear less extended along the southern edge of disk. Assuming this side is facing the ICM wind, this may reflect the disk truncation process. On the opposite side of the disk, SFR1 and SFR2 seem to extend farther out with respect to SFR3 and SFR4. A gradual transformation of the main spiral arms of UG103 (arms #3, #5, and #6; see Fig. 2) is also apparent. Over time, these arms seem to become narrower while progressively extending outward. This apparent gradual opening of the spiral arms in UG103 is consistent with what has been reported for other RPS-driven unwinding galaxies in B21. Since signs of morphological disturbance are already visible in SFR3, UG103 likely began experiencing RPS during that epoch (0.57 Gyr ≤t≤ 5.7 Gyr), which is consistent with the tinf ∼ 1.6 Gyr inferred from its position on the projected phase-space diagram (Rhee et al. 2017).

Thumbnail: Fig. 18. Refer to the following caption and surrounding text. Fig. 18.

Same as Fig. 10 but for UG103.

6. Summary and discussion

The main goal of this work is to provide a methodological framework to identify the external physical mechanisms responsible for unwinding the spiral arms of cluster galaxies. The most commonly invoked mechanisms are RPS and gravitational interactions. These processes leave distinct imprints on the spatially resolved properties of galaxies, making IFS observations a powerful tool for disentangling them. Motivated by this, ESO program ID 109.23DA (P.I.: Vulcani, B.) obtained VLT/MUSE IFS data for 13 unwinding cluster galaxies from the visually selected sample of Vulcani et al. (2022).

As a proof of concept, we focused on two galaxies that are candidates of tidal- and RPS-driven unwinding spiral arms. We illustrated a consistent approach to exploiting their spatially resolved properties in order to identify the external processes shaping their morphologies. To quantify the relative importance of tidal forces, we estimated the galactocentric distance where the tidal acceleration reaches 15% of the centripetal acceleration, defining it as the tidal influence radius (Rtid). Beyond this distance, galaxy regions are expected to be influenced by the gravitational field of a companion.

We investigated the kinematics of both gas and stars to distinguish between gravitational and hydrodynamical perturbations. Gravitational interactions affect both components, producing irregular velocity fields and enhanced velocity dispersions, while RPS primarily affects the gas, leaving the stellar kinematics largely undisturbed. We also analyzed the integrated SFRs and SFHs derived with SINOPSIS. Central bursts of SF could occur in both scenarios, but the spatial distribution and temporal evolution of the stellar populations provided additional diagnostic power. In the following sections, we summarize the main results and place them in context.

6.1. UG101

UG101 was chosen to illustrate the effects of tidal interactions. It exhibits visibly perturbed spiral arms and has a close companion, UG101b. We find Rtid ≈ 1.5 Re, with the unwinding features extending well beyond this radius. This supports a tidal origin for the unwinding arms of UG101, possibly driven by an unbound encounter with UG101b. The contribution from the cluster net tidal force was also investigated, using the galaxy clustercentric distance and Mcl(< r), finding Rtid, cl ∼ 2.6 Re. This analysis has important limitations, as it relies on projected quantities and the current configuration of the pair, while Rtid is inherently time-dependent and closely linked to the dynamical history of the interaction.

Since the proper motions of both galaxies are unknown, the inferred interaction strength and duration remain uncertain. If the 3D separation of the pair is significantly larger than their projected distance, the derived Rtid would be underestimated. To provide a tentative assessment of this uncertainty, we considered the outermost detected point within the unwound structures of UG101 and computed the maximum separation at which tidal forces would still contribute significantly at that location. The farthest identified point in UG101 lies along spiral arm #2 (see Fig. 2) at Rmax ∼ 12.3 kpc (∼2.35 Re). Using this value in Eq. (8), we obtain a corresponding separation of rmax ∼ 36.1 kpc. We emphasize that this estimate is still based solely on the present-day configuration of the system. A proper time-dependent treatment of the interaction, including orbital evolution and cumulative tidal effects, would require dedicated numerical simulations, which are beyond the scope of this work. Furthermore, UG101 resides in an overdense cluster region (Vulcani et al. 2023), and the cumulative effect of unbound encounters with other members of the cluster was not considered. Finally, the tidal contribution from the cluster potential is also variable, being intrinsically linked to the galaxy orbit. The position of UG101 in the projected phase-space diagram suggests that it was accreted at least 2 Gyr ago; therefore UG101 likely had smaller clustercentric distances than it currently has, when the tidal contribution from the cluster was more relevant.

The stellar and ionized gas kinematics support the tidal-interaction scenario, as both components display disturbed velocity fields (see Fig. 4) and irregular velocity dispersions. We stress that this observation suggests the action of gravitational perturbations regardless of the source responsible for producing them. The rotation curve along the major kinematic axis shows similar trends for gas and stars, except for a ∼25 km/s slower stellar rotation on the companion-facing side, likely due to asymmetric drift (Nordström et al. 2004; Binney & Tremaine 2008).

Even though the signs of tidal interactions are quite compelling, an additional effect from RPS in UG101 cannot be ruled out. For example, the gas appears displaced on the disk side facing the companion, while it extends beyond the stellar body on the opposite side, which could be interpreted as an aftermath of RPS. However, we note that the intermediate-age stars in UG101 seem to have been displaced toward the same direction, corresponding to the BCG direction (see Fig. 10). Although in many cluster galaxies the stripped material is oriented on the opposite direction of the BCG, this observation alone cannot confirm or rule out RPS effects. For instance, if UG101 has passed the pericenter but still experiences an ICM wind opposite its travel direction, the removed material could then flow in the direction of the cluster center. In fact, there is at least one confirmed RPS galaxy where a similar orientation of the stripped tail was observed (JO201; e.g., see Bellhouse et al. 2017; Poggianti et al. 2017a). Nonetheless, given the nearly constant SFR sustained by UG101 during the period of 10 Myr < t< 5.7 Gyr (see Fig. 8), either an additional mechanism or very tangential orbits would have been required to prevent RPS from stripping the cold gas from the galaxy ISM, which would have resulted in a declining SFH from this period on. Although the combined effect of RPS and tidal forces cannot be ruled out, stronger evidence for the RPS is still necessary to strengthen this hypothesis.

The nearly constant SFR UG101 sustained through the SFR3 and SFR2 epochs is followed by a ∼30% decline in the last 10 Myr. While the integrated SFR values in the SFR2 and SFR3 age bins are similar, their spatial distributions differ: intermediate-age populations extend farther out along the eastern disk (opposite the companion), while the youngest populations are concentrated in the center and along the unwound arms, particularly spiral arms #1 and #2. Luminosity-weighted ages confirm the recent formation (log(t/yr)∼7.5) of the star-forming knots along these features.

Overall, the spatially resolved properties indicate that gravitational interactions are the primary driver of UG101’s morphology, although additional RPS contributions cannot be excluded.

6.2. UG103

UG103 exhibits clear evidence of opening spiral arms, but lacks both a close companion and a detectable extended optical tail, making it a suitable candidate for RPS-driven unwinding. The nearest plausible companion lies at a projected distance of ∼124″ (∼117 kpc) and has a low stellar mass (log(M/M)∼9.3). The corresponding tidal influence radius, Rtid ∼ 3.7 Re (see Sect. 5.2), indicates that this companion is unlikely to be responsible for the pronounced unwinding features. Although the cluster potential is more relevant, with Rtid, cl ∼ 3.2 Re, it is still likely not the main driver of the unwinding arms of UG103.

The kinematics strongly support RPS as the dominant external mechanism. The gas velocity field is perturbed, exhibiting higher rotational velocities (∼50 km/s) on one side of the disk, while the stellar velocity field and velocity dispersion maps remain largely regular. Assuming the ICM wind is oriented opposite to the BCG, the gas appears accelerated along the disk side aligned with the inferred wind direction.

The integrated SFH shows that UG103 reached its peak SFR during the SFR3 age bin, followed by a steep decline. From its location in the projected phase-space diagram, we infer an infall time tinf ∼ 1.6 Gyr. This is consistent with RPS beginning to remove cold gas around that epoch, causing the rapid decrease in SFR observed in Fig. 16. The spatial distribution of stellar populations in different age bins further illustrates the RPS effects: the spiral arms progressively emerge from SFR4 to SFR3, becoming narrower and more unwound over time. The gas disk shows truncation along the southern edge, while the northern side extends outward, consistent with stripping along the inferred wind direction.

Taken together, these spatially resolved properties indicate that RPS has played a significant role in shaping UG103’s morphology and is the most plausible mechanism driving the unwinding of its spiral arms.

6.3. Comparison between UG101 and UG103

Comparing the two galaxies highlights the distinctive signatures of tidal interactions and RPS. While the disturbed spiral arms of UG101 extend well beyond its Rtid, supporting a tidal origin likely driven by the flyby of UG101b, UG103 lies entirely within its tidal radius, ruling out significant gravitational perturbations from nearby companions. The stellar and gas kinematics reinforce this picture. In UG101, both components exhibit irregular velocity fields and enhanced velocity dispersions, consistent with tidal disturbances. In UG103, the stellar kinematics remain largely regular (Av) = 0.16 ± 0.02), whereas the gas is strongly perturbed (A(Hα) = 0.674 ± 0.05, AvHα) = 0.56 ± 0.02), with asymmetric velocities along the disk, particularly in the wake side, indicative of ongoing RPS. The rotation curves further support this distinction: UG101 shows similar stellar and gas rotation aside from minor asymmetric drift, while in UG103 the gas reaches higher velocities on the disk side opposite the wind, contrasting with the more symmetric stellar rotation.

The integrated SFHs provide complementary insights. UG101 formed stars at an approximately constant rate over the past ∼5 Gyr, followed by a ∼30% decline in the last 10 Myr. This does not seem to have been caused by RPS, given that the position of UG101 in the projected phase-space diagram suggests tinf ≳ 2 Gyr. In contrast, in UG103 most of its stellar mass formed earlier (0.57 Gyr < t ≤ 5.7 Gyr), followed by a more abrupt (≳50%) decline in recent SFR, consistent with rapid gas removal during cluster infall. Finally, the spatial distribution of stellar populations reveals different evolutionary pathways. In UG101, intermediate- and young-age stars are displaced along the unwound arms, with the youngest populations (t ≲ 10 Myr) appearing fragmented and clumpy, suggesting recent dynamical perturbations by the companion. In UG103, the spiral arms progressively unwind from earlier to later epochs, with truncation of the southern gas disk and extension toward the northern side, reflecting ongoing stripping along the inferred ICM wind direction.

Altogether, these quantitative and spatially resolved comparisons provide a clear contrast: UG101 exemplifies a system affected by tidal forces, with both stars and gas responding to the external gravitational perturbation, while UG103 demonstrates the signature of RPS, affecting primarily the gas component and leaving the stellar disk largely undisturbed. Both galaxies also host stellar bars, with UG103 exhibiting particularly prominent spiral arms emerging from the bar. While assessing the role of bars is beyond the scope of this work, the analysis of the full sample will allow us to quantify the fraction of barred galaxies and explore a possible connection between bar-driven dynamics and the presence of unwinding features.

Nonetheless, it is important to keep in mind that any inference based on just two galaxies must be taken with caution. Differences in total stellar mass, in the evolutionary stage at which each galaxy started experiencing the external process, and in local environmental conditions within the cluster, can all modulate the observed properties. These factors should be kept in mind when interpreting the results and in the broader context of applying this framework to larger samples.

6.4. Future prospects

The methodological framework developed here to disentangle tidal and RPS-driven unwinding from their spatially resolved properties can now be applied to the full sample of 13 galaxies. Combining optical IFS observations with multiwavelength data –probing different gas phases and SF timescales – and confronting them with numerical simulations will enable a systematic classification of unwinding galaxies into tidal- or RPS-dominated systems. This approach will provide a statistically robust assessment of the incidence of RPS among unwinding spirals in clusters and enable a deeper understanding of the relative importance of gravitational versus hydrodynamical processes across diverse cluster environments. By extending the analysis to larger samples, it will also be possible to investigate how galaxy properties (e.g., stellar mass, evolutionary stage, presence of a stellar bar) and local environmental conditions modulate the observed responses, offering insight into the interplay between internal and external drivers of morphological transformation.

Acknowledgments

The authors thank Dr. Curtis Struck for his constructive comments, which improved the manuscript. A.E.L. and B.V. acknowledge support from the INAF GO grant 2023 “Identifying ram pressure induced unwinding arms in cluster spirals” (P.I. Vulcani). A.E.L. and B.V. acknowledge ISCRA for awarding this project access to the LEONARDO supercomputer, owned by the EuroHPC Joint Undertaking and hosted by CINECA (Italy). This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 833824). N.T. and L.M. acknowledge support from the Croatian Science Foundation under the project number HRZZ–MOBDOK–2023-8006. RS acknowledges financial support from FONDECYT Regular 2023 project No. 1230441 and also gratefully acknowledges financial support from ANID–MILENIO NCN2024_112.

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1

The relative contribution of RPS and tidal interactions to the morphological perturbations observed in NGC 2276 has long been debated (e.g., see Forbes & Thomson 1992; Wolter et al. 2015; Il’ina & Sil’chenko 2016; Tomičić et al. 2018). For a comprehensive and updated discussion on this matter, we refer the reader to Matijević et al. (2026).

2

This S/N ensures high-quality spectral fitting and reliable stellar kinematic maps, which are essential to distinguish between gravitational and hydrodynamical perturbations.

3

Throughout this work we adopt the polynomial parameterization of MUSE line spread function derived by Guérou et al. (2017): FWHMinst [Å] = 5.866 × 10−8λ2 − 9.187 × 10−4λ + 6.04.

5

Although this approach does not account for absorption features underlying the Balmer lines, it is more robust to variations in the continuum shape than high-order polynomials. The adopted spectral width is large enough to prevent strong emission lines or sky residuals from biasing the derived medians. Moreover, this method is typically employed in the galaxy outskirts, where the intensity of the detected emission lines is already weak.

7

In all cases considered in this work, we also tested the use of Mdyn instead of M, adopting the stellar-to-halo mass relation from Girelli et al. (2020). For UG101 and UG101b the results are very similar, primarily because the two galaxies have nearly identical stellar masses. For UG103, the inferred Rtid decreases to ≲1 kpc, leaving both the results and their interpretation unchanged.

8

This analysis is not extended for UG101b as not all the necessary emission lines are detected.

Appendix A: A background source superposed on UG103

In Fig. A.1 we assess the nature of an elongated source projected onto the spiral arms of UG103, whose morphology could otherwise be mistaken for star-forming regions associated with the galaxy. The analysis demonstrates that this emission instead originates from a background source at z ∼ 0.25.

Thumbnail: Fig. A.1. Refer to the following caption and surrounding text. Fig. A.1.

Top panels: Zoom-in on the MUSE color-composite image of UG103 highlighting the elongated background source, enclosed by the dashed white ellipse. The middle and right panels show flux maps integrated around each Hα + [N II] complex. Physical scale bars are adapted according to the redshifts of the main and background galaxies. Bottom panel: MUSE spectra integrated within the dashed white ellipse, zoomed in both Hα + [N II] complexes. Shadowed regions indicate the wavelength ranges used to produce the middle and right images.

The dashed white ellipse marks the visually defined region used to extract the integrated MUSE spectrum shown in the bottom panel. Two distinct emission-line complexes are detected: one Hα + [N II] complex is at λobs ∼ 6910 Å, consistent with the systemic redshift of UG103 (Sect. 4), and a second complex at λobs ∼ 8175 Å, corresponding to z ∼ 0.25. The latter emission line features are spatially confined to the elongated yellowish source and to a second object near the edge of the FoV, visible only in the right-hand top panel of Fig. A.1.

Appendix B: Example of fitted spectra

To illustrate the emission-line fitting procedure described in Sect. 3.3, in Fig. B.1 we present three fitted spectra, extracted from UG103. The top panel shows the spectrum at the galaxy center, with S/N = 32 in the continuum, while the middle panel shows a spectrum near the center, with S/N = 23. The bottom panel shows the spectrum from the brightest spaxel of a clump located far from the stellar disk; it has a S/N = 1.5 and was therefore not included in the binning process. The first spectrum illustrates a case where the stellar continuum and ionized gas are well detected at the spaxel resolution, whereas the second case demonstrates the result of rescaling the PPXF solution to the spaxel resolution. The third case illustrates the treatment of spectra where S/N ≤ 2 but with detected emission-line features.

Thumbnail: Fig. B.1. Refer to the following caption and surrounding text. Fig. B.1.

Example of three different spectra in UG103. Top panel: Observed spectrum (black curve) at the galaxy center. The red curve displays the PPXF best fit at the spaxel resolution. The emission-line features modeled with IFSCUBE are shown in blue. Middle panel: Similar to the top panel but showing a spectrum slightly offset from the galaxy center. The red curve corresponds to the PPXF best-fit stellar emission rescaled from the Voronoi bin to the spaxel resolution. Bottom panel: Same as other panels, but now corresponding to the brightest spaxel of a SF clump distant from the galaxy center that does not meet the imposed S/N ≥2 criterion in the continuum and is therefore excluded from the Voronoi binning scheme. In the absence of a PPXF solution, the continuum is modeled using a moving median filter (red curve). In all panels green points show the fit residuals, scaled by the spectral variance. An arbitrary shift has been applied for clarity, and the dotted black line marks the position at which the modeled and observed spectra are identical. Light gray spectral regions flag the presence of sky residuals. Right panels: Zoomed-in view of Hβ and Hα + [N II] emission-line features.

Appendix C: Pitch angles of the spiral arms in UG101 and UG103

In Table C.1 we list the pitch angles measured for the spiral arms identified in UG101 and UG103 (see Fig. 2). The table includes the mean values of all pitch angles, as well as the mean considering only the inner (< 2 Re) and outer (≥2 Re) points. A detailed description of how these measurements were made can be found in Sect. 4.3.

Table C.1.

Pitch angles for the spiral arms in UG101 and UG103.

We note that in UG101 some spiral arms show similar inner and outer pitch angles (e.g., arms #3 and #5), whereas others exhibit a more abrupt increase (e.g., arms #1 and #4). This behavior contrasts with that of UG103, where most arms (arm #2 is an exception) display a sharp change in pitch angles beyond 2 Re. An interesting case is spiral arm #6 in UG101, as it shows higher inner than outer pitch angles. This is evident in Fig. 2, where the pitch angle decreases after ϕ ∼ 300°. Similarly, arm #1 of UG103 also exhibits slightly lower mean outer pitch angles. In this case, however, the pitch angle decreases mildly just beyond 2 Re but increases abruptly at r ∼ 22 kpc. Since there are fewer points at larger radii, the mean outer value is dominated by measurements at r ≲ 22 kpc. These arguments are illustrated by Fig. C.1, which shows how the pitch angle of each identified arm varies as a function of galactocentric distance, comparing with the range of values derived in B21.

Thumbnail: Fig. C.1. Refer to the following caption and surrounding text. Fig. C.1.

Radial variation of the pitch angle for each spiral arm identified in UG101 (left) and UG103 (right). Points represent the measured pitch angles, and solid lines show the trends derived from a moving median. For reference, the shaded regions indicate the ranges spanned by the inner and outer spiral arms of undisturbed (gray) and RPS-driven galaxies, as reported by Bellhouse et al. (2021).

All Tables

Table 1.

Global properties of UG101, its companion UG101b, and UG103.

Table C.1.

Pitch angles for the spiral arms in UG101 and UG103.

All Figures

Thumbnail: Fig. 1. Refer to the following caption and surrounding text. Fig. 1.

Top panel: Color-composite image of UG101 (at the center of the image, labeled in orange) generated from the MUSE datacube. The filter transmission curves used to integrate the flux and their corresponding red, green, and blue channels are indicated at the top. A close companion, UG101b, lies approximately 28″ to the southwest (also in orange). Bottom panel: Color-composite image of UG103, generated from the MUSE datacube. The extended greenish-yellow source located within one of UG103 spiral arms to the southeast (indicated by the yellow annotation) is identified as a background source with zspec ∼ 0.25 (see Appendix A). Other point-like sources seen in the image correspond to foreground stars or background galaxies. A yellow arrow indicates the direction of the brightest cluster galaxy (Biviano et al. 2017).

In the text
Thumbnail: Fig. 2. Refer to the following caption and surrounding text. Fig. 2.

Left panels: Deprojected Hα emission-line maps of UG101 (top) and UG103 (bottom), in polar coordinates. The angular coordinate (ϕ) starts from the north direction and increases counterclockwise. Only spaxels with S/N ≥ 4 are displayed, and stars are masked. Positions are marked along the spiral arms of each galaxy (“x” marks). The inclination of the curve connecting these points was computed to measure the pitch angle of each spiral arm, and the red curves show the smoothed fit. The horizontal cyan line marks 2 Re. Right panels: Color-composite images of each galaxy with re-projected positions overlaid to highlight the unwound spiral arms. The dashed cyan line shows the elliptical isophote with a semimajor axis equal to 2 Re. In all panels, the orange text marks the labels assigned to each identified spiral arm.

In the text
Thumbnail: Fig. 3. Refer to the following caption and surrounding text. Fig. 3.

Grayscale Cousins/I image of UG101 and UG101b, generated from the MUSE datacube. The center of UG101 is marked with a magenta cross. The thin cyan line represents the UG101 main body, derived as described in Sect. 3.6.2. The dashed blue ellipse indicates the location where tidal forces from UG101b reach ∼15% of the centripetal force from the main galaxy (Rtid). The dotted yellow ellipse shows this value now considering the net tidal force from the host cluster, A3558. For reference, the shaded green region marks the galactocentric distance of 2Re ± σRe.

In the text
Thumbnail: Fig. 4. Refer to the following caption and surrounding text. Fig. 4.

Top-left panel: Ionized gas kinematics of UG101 and UG101b. Only spaxels with (S/N)Hα ≥ 4 are shown, and the systemic velocity of each galaxy is subtracted. In gray, we represent the slit element used to derive rotation curves (see text), which is aligned to the kinematic semimajor axis. Top-right panel: Gas-phase velocity dispersion of both galaxies, traced by their rest-frame Hα emission. Displayed values are corrected for instrumental broadening. Bottom-left panel: Stellar velocity field of both galaxies, derived with PPXF (see text). Bottom-right panel: Stellar velocity dispersion. For better visualization, the stellar velocity and velocity dispersion maps are smoothed using a local weighted regression, as implemented by the LOESS2D Python package (Cappellari et al. 2013).

In the text
Thumbnail: Fig. 5. Refer to the following caption and surrounding text. Fig. 5.

Stellar (orange) and ionized gas (blue) rotation curves in UG101, derived from a slit oriented according to the stellar kinematic PA (see text and also Fig. 7). Points show the average velocities within each slit element, while solid curves correspond to a 1D LOESS local regression (Cappellari et al. 2013), with shaded areas indicating the 3σ uncertainty. The x-axis corresponds to the distance along the slit from the galaxy center, with positive values corresponding to the side facing the companion (indicated in the figure). The dashed vertical lines mark a distance of Re, while the dotted line indicates a distance of 2 Re. The bottom frame shows the difference between gas and stellar velocities.

In the text
Thumbnail: Fig. 6. Refer to the following caption and surrounding text. Fig. 6.

Emission-line diagnostic diagrams of UG101. Left panels: From top to bottom, BPT–[N II], BPT–[S II], and BPT–[O I]. The solid black and red curves correspond to the classification lines introduced by Kewley et al. (2001) and Kewley et al. (2006), respectively. In the BPT–[N II] diagram, the dotted green and dashed blue curves indicate the divisions proposed by Sharp & Bland-Hawthorn (2010) and Kauffmann et al. (2003), respectively. Each point corresponds to an individual spaxel, and only those with S/N ≥ 4 in all required lines are shown. Mean uncertainties in the line ratios are indicated in the bottom-right corner of each panel. The green square shows the position of the stacked spectrum considering all spaxels classified as LINERs in the BPT–[O I] diagram. Right panels: Spatial distribution of spaxels color-coded according to the left-hand diagrams, overlaid on the MUSE white-light image of UG101. Dashed contours indicate the extent of the galaxy main body, for reference.

In the text
Thumbnail: Fig. 7. Refer to the following caption and surrounding text. Fig. 7.

Ionized gas morphology of UG101 and its companion UG101b, traced by rest-frame Hα emission. Flux values have been corrected for dust attenuation (see text), except for UG101b, where Hβ is not detected. Spaxels with (S/N)Hα < 4 have been masked. A second colorbar shows the corresponding levels of surface density SFR (ΣSFR), derived from the Hα emission line shown in the top panel (see text). The black cross marks the galaxy center, and the light blue contour shows the galaxy I-band boundaries (see text).

In the text
Thumbnail: Fig. 8. Refer to the following caption and surrounding text. Fig. 8.

Top panels: SFH maps of UG101 and UG101b derived with SINOPSIS in three age bins and from Hα emission, as denoted in the figures. All four panels share the same color scale for ΣSFR. Bottom panel: Integrated SFH of UG101 (blue) and UG101b (orange). Shaded areas indicate the uncertainties on the SFR at each age bin.

In the text
Thumbnail: Fig. 9. Refer to the following caption and surrounding text. Fig. 9.

Maps of luminosity-weighted ages of UG101 and UG101b derived from SINOPSIS. Mean values obtained for each galaxy are outlined in the figure, for reference.

In the text
Thumbnail: Fig. 10. Refer to the following caption and surrounding text. Fig. 10.

White-light image of UG101 (grayscale), overlaid with contours showing the distribution of the oldest (red – SFR4; t ≥ 5.7 Gyr), old (orange – SFR3; 5.7 Gyr < t ≤ 0.57 Gyr), intermediate-age (green – SFR2; 20 Myr < t ≤ 570 Myr), and youngest (blue – SFR1; t ≤ 20 Myr) stellar populations derived by SINOPSIS.

In the text
Thumbnail: Fig. 11. Refer to the following caption and surrounding text. Fig. 11.

Grayscale Cousins/I image of UG103. Symbols and colors are the same as in Fig. 3.

In the text
Thumbnail: Fig. 12. Refer to the following caption and surrounding text. Fig. 12.

Velocity fields for UG103. Colors and symbols have the same meaning as in Fig. 4. An arrow pointing toward the BCG has been added to the bottom-left corner of the top-left panel for reference.

In the text
Thumbnail: Fig. 13. Refer to the following caption and surrounding text. Fig. 13.

Inclination-corrected rotation curve of the gas and stellar components of UG103. Colors and symbols have the same meanings as in Fig. 5.

In the text
Thumbnail: Fig. 14. Refer to the following caption and surrounding text. Fig. 14.

Same as Fig. 6 but for UG103.

In the text
Thumbnail: Fig. 15. Refer to the following caption and surrounding text. Fig. 15.

Same as Fig. 7 but for UG103.

In the text
Thumbnail: Fig. 16. Refer to the following caption and surrounding text. Fig. 16.

SFH maps (top) and integrated SFH (bottom) of UG103. Panels, symbols and colors are as in Fig. 8.

In the text
Thumbnail: Fig. 17. Refer to the following caption and surrounding text. Fig. 17.

Same as Fig. 9 but for UG103.

In the text
Thumbnail: Fig. 18. Refer to the following caption and surrounding text. Fig. 18.

Same as Fig. 10 but for UG103.

In the text
Thumbnail: Fig. A.1. Refer to the following caption and surrounding text. Fig. A.1.

Top panels: Zoom-in on the MUSE color-composite image of UG103 highlighting the elongated background source, enclosed by the dashed white ellipse. The middle and right panels show flux maps integrated around each Hα + [N II] complex. Physical scale bars are adapted according to the redshifts of the main and background galaxies. Bottom panel: MUSE spectra integrated within the dashed white ellipse, zoomed in both Hα + [N II] complexes. Shadowed regions indicate the wavelength ranges used to produce the middle and right images.

In the text
Thumbnail: Fig. B.1. Refer to the following caption and surrounding text. Fig. B.1.

Example of three different spectra in UG103. Top panel: Observed spectrum (black curve) at the galaxy center. The red curve displays the PPXF best fit at the spaxel resolution. The emission-line features modeled with IFSCUBE are shown in blue. Middle panel: Similar to the top panel but showing a spectrum slightly offset from the galaxy center. The red curve corresponds to the PPXF best-fit stellar emission rescaled from the Voronoi bin to the spaxel resolution. Bottom panel: Same as other panels, but now corresponding to the brightest spaxel of a SF clump distant from the galaxy center that does not meet the imposed S/N ≥2 criterion in the continuum and is therefore excluded from the Voronoi binning scheme. In the absence of a PPXF solution, the continuum is modeled using a moving median filter (red curve). In all panels green points show the fit residuals, scaled by the spectral variance. An arbitrary shift has been applied for clarity, and the dotted black line marks the position at which the modeled and observed spectra are identical. Light gray spectral regions flag the presence of sky residuals. Right panels: Zoomed-in view of Hβ and Hα + [N II] emission-line features.

In the text
Thumbnail: Fig. C.1. Refer to the following caption and surrounding text. Fig. C.1.

Radial variation of the pitch angle for each spiral arm identified in UG101 (left) and UG103 (right). Points represent the measured pitch angles, and solid lines show the trends derived from a moving median. For reference, the shaded regions indicate the ranges spanned by the inner and outer spiral arms of undisturbed (gray) and RPS-driven galaxies, as reported by Bellhouse et al. (2021).

In the text

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