Open Access
Issue
A&A
Volume 687, July 2024
Article Number A229
Number of page(s) 24
Section Stellar atmospheres
DOI https://doi.org/10.1051/0004-6361/202449816
Published online 18 July 2024

© The Authors 2024

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

Metal-poor stars ([Fe/H] < −1.0) are the first stars ever formed and, thus, they are the oldest in the Galaxy (e.g. Beers & Christlieb 2005; Frebel & Norris 2015). These stars show inho-mogeneous chemical compositions with broad variations for most of the elements. Therefore, various peculiar abundance signatures have been the main subject of study within stellar and galactic archaeology (e.g. Abohalima & Frebel 2018; Farouqi et al. 2022; Hartwig et al. 2023). Since low-mass and intermediate-mass stars (M ≲ 9 M) have not had the time to evolve and contribute to the chemical evolution of the Galaxy (e.g. Timmes et al. 1995; Goswami & Prantzos 2000; Prantzos et al. 2018; Kobayashi et al. 2020), observations of the light elements up to the Fe group in single unevolved stars have been used to study the production of the elements in the first generations of core-collapse supernovae (CCSNe, e.g. Woosley et al. 2002; Nomoto et al. 2013). This progress has enabled us to study the main properties of massive star progenitors evolved and exploded billions of years ago, along with the nature of the supernova engine driving the final collapse of the star and the ejection of the freshly made metals into the interstellar medium. The current generation of stellar models have indeed revealed a number of uncertainties affecting their predictive power (e.g. Burrows & Vartanyan 2021; Curtis et al. 2019; Ghosh et al. 2022), and the comparison with observations in metal-poor stars highlight these limitations. For instance, stellar models tend to underproduce N, Cl Sc, K, Ti, and V, as compared to observations. Despite the fact that this problem has been recognised for some time, a definitive solution has not been found (e.g. Mishenina et al. 2017; Kobayashi et al. 2020; Matteucci 2021).

Beyond Fe, observations of stellar abundances between Ge and Pd are potentially identifying the contribution from a large number of nucleosynthesis components from different stellar sources, such as HD 122563 and HD 88609 (Honda et al. 2006; Hansen et al. 2012; Roederer et al. 2016). There is a sample of stars carrying the signature of the rapid neutron-capture process or r-process, for instance, CS 2892-952, CS31082-001 (Cayrel et al. 2001; Sneden et al. 2003; Roederer et al. 2022; Farouqi et al. 2022); these stars have been classified as limited, moderate (r-I), or highly (r-II) r-process enhanced stars (Christlieb et al. 2004). Some of the so-called carbon-enhanced metal-poor (CEMP) stars are certainly part of a stellar binary system and they exhibit abundance signatures of either the slow neutron-capture process (s-process, Käppeler et al. 2011, and references therein), of the intermediate neutron-capture process (i-process, Cowan & Rose 1977), or of a mixture of those over a possible pristine r-process enriched composition (e.g. Bisterzo et al. 2012; Dardelet et al. 2014; Abate et al. 2015; Choplin et al. 2021, 2022).

Stellar archaeology is a major field of study aimed at identifying the stellar sources of the r-process active in the early Galaxy. Major stellar nucleosynthesis studies have been focused on neutron star-neutron star (NS-NS) and black hole-neutron star (BH-NS) mergers (e.g. Lattimer & Schramm 1974; Surman et al. 2008; Cescutti et al. 2015; Lippuner et al. 2017; Thielemann et al. 2017; Fernández et al. 2020; Farouqi et al. 2022), magne-tohydrodynamic explosions in massive stars (MHD CCSNe, e.g. Nishimura et al. 2006; Winteler et al. 2012; Mösta et al. 2018), hypernovae (HNe) and collapsars (e.g. Siegel et al. 2019). Some alternative sites of the r-process have been proposed in several papers (e.g. Travaglio et al. 2004; Qian & Wasserburg 2008).

Recently, there have been many observational efforts aimed at investigating the abundances in metal-poor stars (e.g. see Ji et al. 2024; Spite et al. 2024). In this study, we present a detailed elemental-abundance analysis of four metal-poor stars, HE 1523-0901, HD 6268, HD 121135, and HD 195636, and we discuss their peculiar nucleosynthesis signatures. While previous works in the literature have studied the composition of these stars, inconsistent results have been found for several elements. We are striving to extend the list of elements previously available with new estimated abundances to make better comparisons with nucleosynthesis simulations. In particular, we significantly extended the element abundances available for HE 1523-0901, a well-known r-II star. We show that HD 6268 is possibly a prototype of rare metal-poor thick-disk stars, and that HD 121135 is a peculiar star, with an unclear classification based on its dynamics or on the heavy element abundances. Finally, we broadly extend the available element abundances for HD 195636, a poorly-known metal-poor halo star.

This work is part of the spectroscopic observational campaign of the different stellar sub-systems in our Galaxy known as the Milky WAy Galaxy with SALT spe Ctroscopy (MAGIC) and including more than 100 stars (Kniazev et al. 2019).

The paper is organised as follows. The observations and selection of stars are presented in Sect. 2. The definition of the main stellar parameters and comparison with the results of other authors are described in Sect. 3. The abundance determinations and the error analysis are presented in Sect. 4. The kinematic parameters and membership of galactic structures are presented in Sect. 5. The impact of intrinsic stellar evolution are analysed in Sect. 6. The application of the results in the theory of nucleosynthesis and the chemical evolution of the Galaxy in stars is reported in Sect. 7. Our conclusions are drawn in Sect. 8.

2 Observations: Main characteristics of stars and spectra

For this study, we selected four peculiar stars which differ in parameters and features of the spectrum with metallicities ranging from [Fe/H] = −1.5 to −3.0. The star HE 1523-0901 is one of the oldest stars in the Galaxy with enhanced r-process element abundances (Frebel et al. 2007, 2013); the star HD 6268 shares similar physical parameters with HE 1523-0901, but shows milder enrichments beyond iron (Roederer et al. 2014). We then studied HD 121135, whose metallicity was previously estimated to be about [Fe/H] = −1.5 (Pilachowski et al. 1996). Finally, HD 195636 has a high projected rotational velocity υsini (Preston 1997), with a current value υsini = 20 km s−1 which is classified as HB star in Behr (2003).

The sample of stars discussed in this work are part of the Gaia DR3 catalogue (Gaia Collaboration 2023), with parallaxes ranging from 0.3 to 1.7 mas, with a good astrometric quality (parallax over error from 16.6 to 98.7 and renormalised unit weight error, RUWE, lower than 1.05). Table 1 presents the coordinates with B, V, and K magnitudes adopted from the database SIMBAD, and parallaxes (P) from Gaia DR3.

Spectral observations were made during 2017–2021 years at the Southern African Large Telescope (SALT; Buckley et al. 2006; O’Donoghue et al. 2006) using the fibre-fed échelle spec-trograph HRS (Barnes et al. 2008; Bramall et al. 2010, 2012; Crause et al. 2014). The HRS is a thermostabilised, fibre-fed, dual-beam échelle spectrograph covering the wavelengths 37005500 Å and 5500–8900 Å in the blue and red arms respectively. The HRS is equipped with four pairs of large-diameter optical fibres (object and sky fibres) and can be used in low- (LR), medium- (MR), high-resolution (HR), and high-stability (HS) modes. All spectral observations of the target objects were made in MR mode (R = λ/δλ = 36 500–39 000), using object and sky fibres of 2.23 arcsec diameter. Both the blue and red arm CCDs were used with 1 × 1 binning. As the HRS is an échelle spec-trograph housed in a vacuum tank in a temperature controlled enclosure, all standard calibrations are performed once a week, which is sufficient to achieve an accuracy of 300 m s−1 in MR mode. The HRS primary data reduction was performed automatically using the general purpose SALT pipeline (Crawford et al. 2010). Further échelle data reduction was performed using the standard HRS data pipeline (Kniazev et al. 2016, 2019). Each observed HRS spectrum was additionally corrected for bad columns and pixels, and for the spectral sensitivity curve obtained on the date closest to the observation. Spectrophoto-metric standard stars for the HRS are observed once a month as part of the HRS calibration plan. The rotational velocity projection υsini was measured by fitting the observed spectrum with models from Coelho (2014). The target stars, Julian dates, exposure times of the observations performed, signal-to-noise ratios S/N, υsini and radial velocities (RV) obtained from the SALT spectra are given in Table 2.

Apart from spectra obtained using SALT, we used spectra from the UVES/VLT archive, based on the data obtained from the ESO Science Archive Facility1 to perform control analysis in the blue region for HE 1523-0901, HD 6268, and HD 121135 on the basis of the spectrum with highest signal-to-noise ratio (S/N). The target stars, the observation dates, resolution, R, exposure times of the conducted observations, region of wavelengths λ λ, and S/N values are presented in Table 3. Figure 1 illustrates the comparison between equivalent widths measured in the present study and those reported by Frebel et al. (2013) for HE 1523-0901. The mean difference and standard error of the mean are −0.015 ± 4.8 mÅ (for 150 iron lines).

Spectral processing, which included the individual spectrum normalisation to the local continuum, identification of spectral lines of different chemical elements, measurements of the line depth and equivalent widths (EWs), was performed for each star using the DECH30 software package developed by G. A. Galazutdinov2.

Table 1

Coordinates and magnitudes of the studied stars, adopted from SIMBAD, and their parallaxes from Gaίa DR3.

Table 2

Targets and their observational log (SALT).

Table 3

Targets and their observational log (ESO-VLT-U2).

3 Atmospheric parameters

3.1 The effective temperature: Teff

The most common methods for determining the effective temperature, Teff, involve the stellar flux measurements, photometric calibrations, and spectroscopic techniques. In this work, we adopted photometric B – V and V – K colour indices (from the SIMBAD database) and calibrations for giants (dependent on [Fe/H]) from Alonso et al. (1999b), given in Table 4. The use of various sources of stellar magnitudes and respective color indices, as well as taking into account interstellar reddening E(BV), affects the determination of the Teff and other parameters based on photometric calibrations. We illustrate this for HE 1523-0901 and HD 6268 in Table 4, by displaying results from different sources of photometric data and using different reddening values from the literature (see details later in the text). The obtained Teff values significantly differ from each other and also from the data reported by other authors (see Table 5), with variations up to 300 K for HD 195636. As shown in the work of Mucciarelli & Bonifacio (2020), the use of photometric methods is more preferable compared to the spectral method for determining Teff values for giant stars. For photometric temperature estimates, we used SIMBAD data, and we obtained the differences in Teff values. Therefore the next step was also using the spectroscopic method for determining the effective temperature. For its validation, we used a comparison of the obtained temperatures with those determined both photometrically and in the literature. The accuracy of this method depends on the oscillator strengths used in calculations, and on the assumptions made with LTE and NLTE approximations. The Teff were determined by requiring that the abundances derived from Fe I lines are showing no trend with the excitation potential of the lower level Elow of the transition line for a given temperature (see, Fig. 2, left panel). The iron abundance derived from Fe I lines in metal-poor stars tends to deviate from LTE, as reported, for instance, by Mashonkina et al. (2011); Sitnova et al. (2015); Bergemann et al. (2012). Deviations from LTE decrease with increasing excitation potential Elow (Bergemann et al. 2012). Aiming to reduce such an effect, we examined the lines with the excitation potential (Elow) higher than 1 eV, most of the neutral iron lines used in our calculations have Elow of more than 2 eV. In addition, the expected effect of deviations from LTE on the lines of Fe I differs significantly in different studies. This is due to the complexity of the multilevel model of the iron atom, which requires a large amount of atomic data that are known with high uncertainty. This is also one of the arguments in favor of the application of LTE analysis. Moreover, to eliminate uncertainty in the EW measurements (the Gaussian approximation was applied), we relied on the lines with EW < 100 mÅ. The achievable precision of determining Teff by this method (the accuracy of establishing independence of Fe I lines on Elow) is about ±50 K.

thumbnail Fig. 1

Comparison between EWs measured in the present study and those reported by Frebel et al. (2013). The EW differences between them are also reported at the bottom along the horizontal line.

Table 4

Stellar parameters of the stars of this study.

Table 5

Comparison of the atmospheric parameters derived in this work with the literature.

thumbnail Fig. 2

Dependence of Fe I element abundance on Elow and EW.

3.2 Surface gravities: log𝑔

The surface gravity, log 𝑔, is determined from the ionisa-tion equilibrium (IE), which implies similar elemental abundances derived from the two ionization stages, and using stellar parallaxes with the standard formulae: log(gg)=log(MM)+4log(Teff Teff )       +0.4(Mbol Mbol )$\eqalign{ & \log \left( {{g \over {{g_ \odot }}}} \right) = \log \left( {{M \over {{M_ \odot }}}} \right) + 4\log \left( {{{{T_{{\rm{eff }}}}} \over {{T_{{\rm{eff }} \odot }}}}} \right) \cr & & \,\,\,\,\,\, + 0.4\left( {{M_{{\rm{bol }}}} - {M_{{\rm{bol }} \odot }}} \right) \cr} $(1) Mbol=V+BC+5 logP+5${M_{{\rm{bol}}}} = V + BC + 5\log P + 5$(2)

where M is the stellar mass, Mbol, is the absolute bolometric magnitude, V is the ‘visual’ magnitude, BC is a bolometric correction (Flower 1996), and P is the parallax from Gaia DR3. The values used as solar references are log 𝑔 = 4.44, Teff⊙ = 5770 K and Mbol⊙ = 4.75. When determining log 𝑔 from the parallax (log 𝑔P), the primary error is introduced by the accuracy of the parallax itself and by factoring the reddening in. When using a spectroscopic method to determine log 𝑔 (log 𝑔IE), it is essential to use oscillator strengths and take deviations from LTE into account. As shown in Bergemann et al. (2012), a small NLTE correction is needed to fulfil the ionisation equilibrium at solar metallicities, while in very metal-poor stars these effects can reach up to +0.2 dex or more on Fe I lines. Fe II lines are not sensitive to the departures from LTE. The coincidence of the iron content in two stages of ionization up to 0.05 dex gives an accuracy of the log 𝑔IE determination of the order of ±0.1 dex or less.

3.3 Turbulent velocity Vt and metallicity [Fe/H]

The microturbulent velocity, Vt, is given by imposing that the Fe abundance, log A(Fe), is independent of the EW of the respective neutral iron (Fe I) line (Fig. 2, right panel). In general, parameters are derived using a method of successive approximations that enable to reach more accurate estimates of effective temperature (Teff), surface gravity (log 𝑔IE) and microturbulent velocity (Vt). The obtained accuracy for the turbulent velocity Vt is about ±0.1 km s−1. The adopted [Fe/H] value is calculated using the Fe abundance derived from the Fe I lines.

3.4 Description of the model selection and comparison of the results with the literature

HE 1523-0901. This is one of the oldest stars in the Galaxy according to Frebel et al. (2007). Adopting the SIMBAD data (B, V, and K), as well as calibrations for BV and VK indices from Alonso et al. (1999b), we obtain Teff = 4695 and 4301 K, respectively. The correction for the reddening, color-excess E(BV) = 0.138, is applied according to Schlegel et al. (1998). Based on the parallax of 0.3278 [0.0197] mas (Gaia DR3) and bolometric corrections (BC) (Flower 1996), using the formula given above we obtain the surface gravity, log 𝑔 = 1.36 (V = 11.50, SIMBAD). The parallax value of 0.2772 [0.0434] mas (Gaia DR2) with the same data results in log 𝑔 = 1.22. To proceed with the parameter determination based on spectro-scopic techniques, the initial calculation of the Fe abundance is done using the model parameters Teff = 4500 K and log 𝑔 = 0.75. Teff derived under the condition of the independence of the Fe abundance derived from neutral Fe (Fe I) lines on Elow was equal to 4550 K. Setting condition of the Ionisation Equilibrium (IE) for Fe resulted in the surface log 𝑔 = 0.80. The final parameter values adopted for further calculations of elemental abundances are given in Table 4.

Various methods and techniques were employed to determine atmospheric parameters in different studies. For instance, in Frebel et al. (2007) the BVRI CCD photometry and JHK 2MASS data were used for Teff, Vt was derived from calculating the Fe abundance over several lines with different EWs, and log 𝑔 was derived from IE. Frebel et al. (2013) introduced Teff corrections, in order to bring spectroscopic temperature in agreement with the photometrically derived ones. Beers et al. (2017) applied the SEGUE Stellar Parameter Pipeline (SSPP) to medium-resolution (R = 2000). Hansen et al. (2018) adopted the Teff corrections reported by Frebel et al. (2013). Surface gravities log 𝑔 were derived through IE by ensuring agreement between abundances derived from Fe I and Fe II lines. Microturbulent velocities Vt were determined by removing any trend inline abundances with reduced EWs for both Fe I and Fe II lines. In Placco et al. (2018), the result was obtained in a medium-resolution (R = 2000) follow-up spectroscopic campaign on low-metal targets selected based on stellar parameters published in Data Releases 4 and 5 of the RAdial Velocity Experiment (RAVE). Using the magnitude V = 11.131, colour index BV = 1.071 and the reddening correction E(BV) = 0.138 adopted from Schlegel et al. (1998), together with the calibrations from Alonso et al. (1999b), the derived Teff is 4644 K. The SSPP, as in Beers et al. (2017), was applied to estimate the parameters of the stellar atmosphere and carbon and α-elements abundances.

In Sakari et al. (2018), the atmospheric parameters were determined spectroscopically from the Fe I lines, taking into account (3D) NLTE corrections and using differential abundances with respect to a set of standards. The values reported in the above study are very close to those obtained in the present study (see Table 5). In Reggiani et al. (2022), stellar parameters were obtained using a hybrid isochrone/spectroscopy approach. High-quality multiwavelength photometry was employed to determine Teff and Gaia EDR3 parallaxes were used to calculate log 𝑔 via isochrones. The Vt was estimated through the empirical relation from Kirby et al. (2009). Such a method produced results different from the other authors. The mean values of the parameters from different studies are: Teff = 4 594 ±89 K; log 𝑔 = 0.87 ±21; [Fe/H] = −2.91 ± 0.15 (see Table 5), which is in very good agreement with our determinations.

HD 6268. The star has been investigated in several studies (see Table 5). From adopting the SIMBAD data B, V, and K, and using the BV and VK index calibrations from Alonso et al. (1999b), we obtain Teff = 6153 K (from BV = 0.679) and 4411 K (from VK = 3.332), respectively. A correction for the reddening E(BV) = 0.017 was taken from Roederer et al. (2014). The use of the SIMBAD data V and P = 0.3278 [0.0197] mas (Gaia DR3) yielded log 𝑔 =1.82. The SIMBAD photometric data for this star differ from those reported by McWilliam et al. (1995) (V = 8.16, BV = 0.813, d(BV) = 0.22) and Roederer et al. (2014) (V = 8.08, (BV)0 = 0.84, the reddening correction E(BV) = 0.017, (VK)0= 2.32). The use of parameters reported in Roederer et al. (2014) and calibrations from Alonso et al. (1999b) resulted in Teff = 4728 K. Then, we employed a spectroscopic method of successive approximations using Teff = 4709 K and log 𝑔 = 1.43 as initial parameters. The final values from our calculations are given in Table 4: Teff = 4700 K, log 𝑔 = 1.30 and Vt = 2.1 km s−1.

For HD 6268, McWilliam et al. (1995) used standard colour vs. Teff relations for solar neighbourhood giants to calculate the temperatures. The Vt and log 𝑔 were determined using abundances derived from multiple iron lines in spectra of individual stars. To determine Teff, Pilachowski et al. (1996) used photometric index calibrations; log 𝑔 resulted from the average of three values obtained using three methods: (1) photometry; 2) the C–M (colour-magnitude) diagram of the globular cluster; (3) the empirical correlation between surface gravity and Teff (using the reddening E(BV) = 0.03). Francois (1996) took the average of parameter values from literature. Burris et al. (2000) adopted stellar parameters from Pilachowski et al. (1996). In Roederer et al. (2014), the Teff were derived by requiring that abundances derived from Fe I lines should show no trend with the excitation potential of the lower level of the transition. Vt was determined under the condition that abundances derived from Fe I lines should show no trend with line strengths, and the log 𝑔 were obtained from theoretical isochrones in the YY grid (Demarque et al. 2004). A comparison with the mean parameter values obtained by different authors (Table 5) with our data shows a good agreement within determination errors: <Teff> = 4720 ± 70 K, <log 𝑔> = 1.08 ±0.32, <[Fe/H]> = −2.55 ±0.19.

HD 121135. Adopting the SIMBAD data (B, V and K) and calibrations for BV and VK indices from Alonso et al. (1999b), we obtained Teff = 4909 K and 4970 K, respectively. By using the parallax of 1.2564 [0.0171] mas (Gaia DR3) and the specified formula, we obtained log 𝑔 = 1.90. Using Teff = 4900 K and log 𝑔 = 1.90 as initial parameters and applying the method of successive approximations, we obtained the final parameters shown in Table 4: Teff = 4950 K, log 𝑔 = 1.65 and Vt = 1.8 km s−1.

Carney et al. (2003), adopting the colour index b-y = 0.530 and a reddening correction E(b-y) = 0.008 from Anthony-Twarog & Twarog (1998), obtained Teff = 4895 K. Burris et al. (2000) adopted stellar parameters from Pilachowski et al. (1996), Teff = 4925 K and log 𝑔 = 1.50. Simmerer et al. (2004) used the InfraRed Flux Method (IRFM) determination from Alonso et al. (1999a) and the calibration by Alonso et al. (1999b), obtaining the final value Teff = 4934 K. In the case of log 𝑔 by using the formula based on luminosity (see Section 3.2) as well as the IE condition, we obtained the same value log 𝑔 = 1.91.

The IRFM was employed to determine Teff for the target star in a series of studies: Teff = 4934 K (Alonso et al. 1999a); Teff = 4927 K (Ramírez & Meléndez 2005); Teff = 5105 K and log 𝑔 =1.50 (González Hernández & Bonifacio 2009). The mean parameters for this star obtained in the literature (Table 5) are Teff = 4960 ±81 K; log 𝑔 = 1.70 ±23; [Fe/H] = −1.63 ±14. They are in good agreement with our determinations.

HD 195636. The star is classified as High Proper Motion Star (SIMBAD) with a high rotation velocity, υsini = 25 km s−1 (Preston 1997), and as an HB star by Behr (2003) with υsini = 20 km s−1. Adopting the SIMBAD data (B, V, and K) and E(BV) 0.06 (Bond 1980), as well as calibration for giants from Alonso et al. (1999b), we found Teff = 5206 and 5392 K, respectively. By employing calibrations for dwarf stars from Alonso et al. (1996), we obtained Teff = 5575 K. The use of the parallax 1.6942 [0.0172] mas (Gaia DR3) and the formula we obtain log 𝑔 = 2.54. Then, by applying a spectroscopic approach based on successive approximations and using Teff = 5500 K and log 𝑔 = 3.0 as initial parameters, we obtained the results given in Table 4: Teff = 5450 K, log 𝑔 = 2.50 and Vt = 2.3 km s−1.

In the work by Carney et al. (2003), adopting b-y = 0.467 an E(b-y) = 0.044 (Anthony-Twarog & Twarog 1998) resulted in Teff = 5370 K and log 𝑔 = 2.4; the authors also determined the rotational velocity υsini = 20.6 km s−1, in agreement with the results of Behr (2003) for the same star. Determinations through the IRFM method yielded Teff = 5550 K and log 𝑔 = 3.40 (González Hernández & Bonifacio 2009). In Gratton & Sneden (1988), the adopted Teff were the mean values of temperatures deduced from VR and VK colours, while the adopted gravities were the mean values of log 𝑔 derived from the IE for Fe, Ti, Cr lines and from the wings of strong Fe I lines. In Zhang & Zhao (2005), Teff was determined from colour indices and [Fe/H] using the calibration from Alonso et al. (1996); the surface gravity was determined via Hipparcos parallaxes.

As can be seen from Table 5, the scatter in the definitions of temperature (up to ±120 K) and gravity (up to ±0.7 dex) in the literature for HD 195636 is greater than for the other stars analyzed in this work. In particular, the large log 𝑔 spread is due to different derivation methods implemented. Notice that while our definitions of Teff (5450 K) and [Fe/H] (−2.78) are in agreement with the mean values, (Teff = 5412 ± 120 K and [Fe/H] = −2.79 ±0.04), our log 𝑔 (log 𝑔 = 1.8 dex) is different from mean value (< log 𝑔 > = 2.91 ±0.70).

Summing up, it can be concluded that our parameter determinations are overall in good agreement with the results obtained earlier. The respective errors are δTeff = ±100 K, δlog 𝑔= ±0.2, and δVt= ±0.1 km s−1. Note that, however, when we calculate the elemental abundances we considered 2σ error for log 𝑔 taking into account both the greater scatter of literature data, and the fact that we did not take into account possible influence of deviations from LTE on the determination of this parameter.

4 Determination of the elemental abundances

Elemental abundances are derived with the LTE and NLTE approximations using the atmosphere models by Castelli & Kurucz (2004). Each stellar model was obtained by interpolating the grid in accordance with the required combination of stellar parameters Teff and log 𝑔. To create the list of chemical element lines, we adopted data from several studies (Frebel et al. 2013; Roederer et al. 2014, etc.), and also used the synthetic spectrum computations based on the VALD3 database (Kupka et al. 1999; Pakhomov et al. 2019).

The Kurucz WIDTH9 code was used to determine LTE abundances based on the equivalent widths (EWs) of Ca, Ti, Cr, Fe, and Ni lines. We did not use strong lines with EWs > 100 mÅ, due to noticeable effects of damping. The line list, their EW and the obtained abundances are provided in machine readable format at the Centre de Données astronomiques de Strasbourg (CDS) in Table A.1.

The spectral synthesis code STARSP by Tsymbal (1996) was employed to calculate the line profiles for other investigated elements (C, N, O, Na, Mg, Al, Si, K, Sc, Mn, Co, Cu, Zn, Sr, Y, Zr, Mo, Ru, Ba, La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Hf, Os, Ir, and Th). The C and N abundances were determined by molecular lines at 4300 Å (CH) and at 3883 Å (CN). To measure the O abundance, both the 6300 Å line and the IR triplet at 7770 Å were used. The Na lines at 5889.951, 5895.924 and also 5682.633, 5688.205 Å (for HD121135), the Mg lines at 4571.096, 5172.684, 5183.604, 5528.405, 5711.088 Å, the Al line at 3961.5 Å, the Si line at 4102.93 Å, the K line at 7698.974 Å were applied to obtain the abundances. The determination of the Sc, Co, Mn, Ba, Eu and Pr abundances took into account the line hyperfine structure (HFS).

We used lines in the region of 4030 Å for Mn and those at 4129.7 and 6645.1 Å for Eu, along with the HFS data from Prochaska & McWilliam (2000); Ivans et al. (2006), respectively. The HFS data for Pr II lines and log gf were taken from the study by Sneden et al. (2009). For Sc, Co and Ba we adopted the HFS parameters from the latest version of the VALD3 database, six Sc lines at 4246.81, 4314.08, 4320.73, 4324.99, 4400.38 and 5526.81 Å and three Co lines at 4092.38, 4118.7, 4121.3 Å were used.

For Ba, we explored five lines at 4554.029, 4934, 5853.7, 6141.7, and 6496.9 Å. The lines at 5853.7 and 6141.7 Å had a practically insignificant effect on the HFS, while the lines at 4554.029 and 6496.9 Å required factoring the HFS in Korotin et al. (2015). The damping constants for Ba lines we adopted from Korotin et al. (2015). All oscillator strengths were scaled by the solar isotopic ratios. The Cu abundance was only determined for the star HD 121135 using the line 5105.53 Å. The Zn abundances are based on three lines, 4680.134, 4722.153, 4810.528 Å, for all stars. The abundance of Ho and Tb were determined by taking into account the HFS, using the Ho lines at 3796.75, 3810.7 Å, and the Tb lines at 3874.17, 4002.57, and 4005.47 Å. To compute the Th abundance, the line list in the region of 4019 Å from Mishenina et al. (2022) were used. The list of lines of Y, Zr, Mo, Ru, La, Ce, Pr, Nd, Sm, Gd, Tb, Dy, Ho, Er, Tm, Hf, Os, and Ir (adopted from the latest version VALD3) and the derived abundance by applying the synthetic spectrum method are provided in machine-readable format at the Centre de Don-nées astronomiques de Strasbourg (CDS) in Table B1. Within the range of metallicities of the target stars, spectral lines of a number of chemical elements may be subject to deviations from LTE. The abundances of O, Na, Mg, Al, K, Cu, Sr, and Ba were also computed under the NLTE approximation.

To perform the NLTE calculations, we employed a version of the NLTE code MULTI (Carlsson 1986) modified by S. Korotin (Korotin et al. 1999), based on the data and atomic models for O (Mishenina et al. 2000; Korotin et al. 2014), Na (Korotin et al. 1999; Dobrovolskas et al. 2014), Mg (Mishenina et al. 2004; Černiauskas et al. 2017), Al (Andrievsky et al. 2008; Caffau et al. 2019), K (Andrievsky et al. 2010; Korotin et al. 2020), Cu (Andrievsky et al. 2018), Sr (Andrievsky et al. 2011), and Ba (Andrievsky et al. 2009). As reported in Bergemann & Gehren (2008), the NLTE effect is more pronounced for the Mn abundance derived from the resonance lines at 4030 Å. We performed an approximate estimation of the NLTE abundance effects using the data from Bergemann & Gehren (2008). The mean value of the abundance deviation (correction) for the stars with [Fe/H] of about −2.5 (and giants as well) reaches 0.4–0.5 dex while for those with [Fe/H] of about −1.5 it is ≲ 0.2–0.3 dex. We factored these corrections, extracted from Bergemann & Gehren (2008), in the resulting Mn abundance. The NLTE Cu abundance was determined using the lines 5105.537 and 5782.127 Å only for star HD 121135. The NLTE correction for Eu lines were considered (e.g. Mashonkina & Gehren 2000). Those corrections did not exceed 0.1 dex for the range of the target star parameters, well within the current observational errors. The spectrum synthesis fitting of some lines to the observed profiles is shown in Figs. 35.

The element abundances log A(El), where log A(H) = 12) and those relative to iron [El/Fe], have solar abundances taken from Asplund et al. (2009)). These are presented in Table 6.

Errors in the abundance determinations. As a representative example of errors in the elemental abundance due to the uncertainties in the atmospheric parameters, we derived the elemental abundances of the star HE 1523-0901 for different sets of stellar parameters (Teff = 4550 K ± 100K, log 𝑔 = 0.80 ± 0.4, Vt = 2.5 ± 0.1 km s−1) and metallicity [Fe/H] = −2.82. Abundance variations associated with the modified parameters are given in Table 7. We also took into account an 0.03 dex error from the fitting of the calculated or observed spectral lines. In general, the errors are mostly given by uncertainties in Teff and log 𝑔, when neutral or ionised atomic lines, respectively, were used to determine abundances. The typical abundance error due to uncertainties in stellar parameters and spectral measurements varies within 0.05–0.18 dex. the Root Mean Square (rms) value of the iron determination from Fe I and Fe II lines ranges from 0.09 to 0.13 dex, respectively. In Table 8 we compare the stellar abundances from this work with other results from the literature for HE 1523-0901, HD 6268 and HD 195636.

HE 1523-0901. Table 8 shows the values of the abundances of elements determined in the following papers – Frebel et al. (2007, 2013) (col. 1), Hansen et al. (2018) (col. 2), Sakari et al. (2018) (col. 3), Reggiani et al. (2022) (LTE and NLTE, respectively, cols. 4 and 5), and our determinations (LTE and NLTE, respectively, cols. 6 and 7). As can be seen from the table, for all the stars Co abundance is varying up to 0.5 dex considering our numbers and the literature. If we do not consider Co, the mean abundance differences between our results and Frebel et al. (2007, 2013) is smaller than rms deviations, with 〈Δ[El/Fe]〉 = −0.04 ±0.13. Such a mean difference is derived by using the abundances of 13 elements available in both studies. If we focus the comparison with Hansen et al. (2018), we obtain 〈Δ[El/Fe]〉 = −0.015 ±0.33 with 4 common elements: C, Sr, Ba and Eu. The variation larger than average is due to the different Sr abundance, which also differs from Sakari et al. (2018) and Reggiani et al. (2022). In comparison with Sakari et al. (2018), we also observe a discrepancy in the C abundance. This is because in Sakari et al. (2018) the reported C value is already corrected for the effect of stellar evolution (see details in Sect. 6). For Co, Mn and Dy there are differences in LTE values due to the strong influence of NLTE on the resonance lines used for this study. If we exclude the elements mentioned above, 〈Δ[El/Fe]〉 = −0.18 ±0.17 (19 common elements). Our [Eu/Fe] = 1.67 is in agreement with those of Frebel et al. (2007) ([Eu/Fe] = 1.70), and within 1 σ we are consistent with other works. Finally, we obtain 〈Δ[El/Fe]〉 = 0.08 ±0.21 (14 common elements) compared to Reggiani et al. (2022).

HD 6268. In Table 8, our results (10, 11) are compared with McWilliam et al. (1995) (8) and Roederer et al. (2014) (9). If we exclude the Mn values where the McWilliam et al. (1995) abundance was calculated using the EW from stellar spec-tra with LTE assumption, we obtain 〈Δ[El/Fe]〉 = −0.06 ± 0.22 for 19 common elements. For Roederer et al. (2014) we have 〈Δ[El/Fe]〉 = 0.11 ± 0.15 (24). On the other hand, the [Eu/Fe] ratio shows a much larger variation between different works: [Eu/Fe] = 0.65 for McWilliam et al. (1995), 0.31 for Roederer et al. (2014) and 0.47 according to our measurement.

HD 121135. The comparison for this star is not presented in the Table 8, since data are only available in the previous literature for a limited number of elements. Pilachowski et al. (1996) obtained [Na/Fe] = −0.10, [Mg/Fe] = 0.30 and [Ca/Fe] = 0.3, while we derived [Na/Fe] = −0.12 (including NLTE corrections), [Mg/Fe] = 0.3 and [Ca/Fe] = 0.27. We also find a good agreement with Simmerer et al. (2004): they obtained [C/Fe] = −0.45 as compared to our value of [C/Fe] = −0.46, and log A(La/Eu) = 0.37 compared to 0.41. Burris et al. (2000) obtained [Ba/Fe] = 0.20 without NLTE corrections. We obtain LTE [Ba/Fe] = 0.08, and [Ba/Fe] = −0.14 dex taking into account the NLTE correction.

HD 195636. We highlight here two papers with abundance determinations for several chemical elements: Gratton & Sneden (1988) (col. 12) and Zhang & Zhao (2005) (cols. 13 and 14). Relevant differences are found between the abundances reported in these studies and also compared to our results. For example, to determine the Na abundance the resonant D lines were used in all studies, which required NLTE corrections for the considered metallicities to be introduced. Gratton & Sneden (1988) obtained a value of [Na/Fe] = 0.57 (LTE); in the study by Zhang & Zhao (2005) [Na/Fe] = −0.14 (LTE) and −0.38 (NLTE); in the present study, [Na/Fe] = 0.59 (LTE) and 0.04 (NLTE). For Mg, the NLTE corrections are much smaller compared to Na. The [Mg/Fe] varies between 0.28 (LTE, Gratton & Sneden 1988), 0.82 (LTE, Zhang & Zhao 2005) and 0.58 (LTE) and 0.64 (NLTE) in present study. As for the neutron-capture elements, the Sr abundance was the only one determined in Gratton & Sneden (1988). Their value is [Sr/Fe] = +0.39, as compared to our values −0.21 (LTE) and −0.19 (NLTE), respectively. The Ba abundance was the only one reported by Zhang & Zhao (2005), [Ba/Fe] = −0.14 (LTE), while we have −0.66 (LTE) and −0.43 (NLTE) respectively. These discrepancies are probably due to the different methods and techniques employed in the different studies.

thumbnail Fig. 3

Observed (dots) and calculated (solid and dashed lines) spectra in the region of Ho II line for HE 1523-0901. The impact of the Tm, Gd, Er and Ho abundance variation of 0.20 dex and without any Tm, Gd, Er and Ho contributions (dashed line) is shown.

thumbnail Fig. 4

Observed (dots) and calculated (solid and dashed lines) spectra in the region of Ru I and Ir I lines for HE 1523-0901. The impact of the Ru and Ir abundance variation of 0.20 dex and without any Ru and Ir contributions (dashed line) is shown.

thumbnail Fig. 5

Observed (asterisks) and calculated (solid and dashed lines) spectra in the region of Th II line for HE 1523-0901. The impact of the Th abundance variation of 0.20 dex and without any Th contribution (dashed line) is shown.

Table 6

Elemental abundances of our target stars.

Table 7

Abundance errors due to atmospheric parameter uncertainties as examples for HE 1523-0901 with the stellar parameters Teff = 4550 K, log 𝑔 = 0.80, Vt = 2.5 km s−1 and [Fe/H] = −2.82.

5 Kinematics and population membership

In this section we examine the stellar velocities of our sample to define whether they belong to different Galactic populations. We adopt the photogeometric estimates of distance from Bailer-Jones et al. (2021) (listed in Table 9), since we expect them to have higher accuracy and precision than the inverse of the parallax. We obtain distances between ~500 pc and ~2.8 kpc from the Sun. Combined with coordinates and proper motions from Gaia DR3 and radial velocities determined by us from the SALT spectra (see Table 2), we compute the three components of the velocities (U, V, W) with respect to the Local Standard of Rest (LSR), with U towards the Galactic centre, V in the direction of Galactic rotation, and W towards the North Galactic Pole. We adopt the solar motion with respect to the LSR by Robin et al. (2022) from Gaia DR3: (U, V, W) = 10.79 ± 0.56, 11.06 ± 0.94, 7.66 ± 0.43 km s−1. We obtain a total velocity larger than 100 km s−1 for all our stars, which would indicate that they are part of the halo or the thick disc. However the Toomre diagram in Fig. 6 shows a diversity in the kinematics of the targets. HE 1523−0901 and HD 195636 have large total velocities, about 500 and 400 km s−1 respectively, making them likely members of the Galactic halo. They also lag well behind the rotation of the LSR, which is also compatible with their belonging to an accreted population, such as the Thamnos streams (Koppelman et al. 2019). Their low [Fe/H] (−2.82 and −2.78 dex respectively) also supports their membership to the halo or an accreted population (Di Matteo et al. 2020). The kinematical separation between the halo and the thick disc is around a total space velocity of 180 km s−1 (e.g. Buder et al. 2019), making HD 121135 a possible thick disc star, at the kinematical transition with the halo. Its rotation velocity of −161 km s−1 is also consistent with the thick disk. However its large vertical velocity of 100 km s−1 would be very unusual, owing to the velocity ellispoid of the thick disc which is centered on W≃0 with a dispersion of ~20 km s−1 (22 km s−1 according to the recent work by Vieira et al. (2022). Therefore HD 121135 is more likely a halo star or an accreted star. Furthermore, its metallicity ([Fe/H] = −1.40) is lower than typical thick disc stars (Li & Zhao 2017), although it would be still compatible with the metal-weak thick disc described by Beers et al. (2014). HD 6268 has the lowest space velocities of the four stars discussed here, with a rotation velocity and a vertical velocity typical of the disc. Its large velocity of 124 km s−1 in the radial direction is still consistent with the thick disc given the dispersion of 49 km s−1 determined for that population in that direction by Vieira et al. (2022). However, its metallicity [Fe/H] = −2.54 would make it a very special member of the thick disc. According to Beers et al. (2014), the metal-weak thick disc does not extend below [Fe/H] = −1.8 dex but more recent studies found very metal-poor stars with typical disc kinematics (e.g. Di Matteo et al. 2020; Sestito et al. 2020). The origin of such stars is not yet clear and different scenarios have being proposed. Among others, they could be the relics of merged satellites or of a pristine prograde disc in the Milky Way (Bellazzini et al. 2024). HD 6268 could therefore be a prototype of a very metal-poor star remaining close to the galactic plane with a non circular orbit. Its detailed chemical composition may shed light on its origin.

Based on their kinematic properties and their low metal-licities, we have seen that HE 1523-0901 and HD 195636 can be classified as halo stars, possibly accreted, owing to their very large retrograde motion, while the identification for both HD 121135 and HD6268 is less clear.

If the stellar metallicity is not too low, stellar abundances are also used as additional diagnostics to define stellar origin. For instance, Das et al. (2020) used the [Mg/Mn]-[Al/Fe] chemical abundance plane to identify nearby stars included in the APOGEE survey and that have been accreted on the Milky Way: they identify a group (or blob) of stars with high-[Mg/Mn], low-[Al/Fe] component as a sample of accreted stars peaked at [Fe/H] ∽ −1.6. Belokurov & Kravtsov (2022) considered instead [Al/Fe] as a unique indicator to distinguish between stars formed in the canonical halo and those that have been accreted: metal-poor stars with [Al/Fe] < −0.075 are allocated to the accreted population, while the in situ stars have higher Al-to-Fe ratios.

For HD 121135, the composition and metallic-ity ([Fe/H] = −1.40) would well fit as accreted star ([Mg/Mn] = 0.66 dex and [Al/Fe] = −0.28 dex), based on both the criteria discussed above (Fig. 7).

Table 10 summarizes the possible membership of each star to the different populations according to chemical and kinematical criteria, with the various r-process contributions identified for them (see discussion in the following sections).

Table 8

[El/Fe] ratios of our stars are compared with the literature for HE 1523–0901, HD 6268, and HD 195636.

Table 9

Distance of the targets from Bailer-Jones et al. (2021) and their space velocities with respect to the LSR.

Table 10

Marking of stars to belong to galactic substructures and to different r-process enrichment classes.

thumbnail Fig. 6

Toomre diagram of studied stars. The dashed curve corresponds to a total velocity of 180 km s−1 marking the kinematical separation between the thick disc and the halo.

6 Considering whether all the stellar abundances are pristine: Impact of the intrinsic stellar evolution

Depending on the evolutionary stage of the observed stars, some of the pristine abundances, inherited from the interstellar medium where the stars have formed, could have been modified by internal nucleosynthesis and mixed all the way to the stellar surface. In this case, the affected elements such as C, N, and O are not indicative anymore of the initial stellar composition, but they instead carry the signature of internal stellar evolution processes (e.g. Charbonnel 1994; Gratton et al. 2000; Spite et al. 2006).

In order to infer the evolutionary stage of the observed star, the first key diagnostic is given by the surface temperatures and densities. A template stellar isochrone with log 𝑔 with respect to Teff from Demarque et al. (2004) is shown in Fig. 8, in comparison to the positions of the studied stars: three stars are on the red giant branch (RGB) phase; whereas HD 195636 appears to have passed the RGB and is now on the HB or even at the onset of the asymptotic giant branch (AGB) phase. We note, for example, that the YY tracks (Demarque et al. 2004) are in good agreement with the BaSTI tracks, as reported in Pietrinferni et al. (2013).

According to earlier studies by Gratton et al. (2000), light element abundances in lower-RGB stars (i.e. stars brighter than the first dredge-up luminosity and fainter than that of the RGB bump) seem to be consistent with predictions from stellar evolutionary models. Spite et al. (2006) performed a LTE analysis of several extremely metal-poor (EMP) giants in order to investigate their CNO abundance. The C-N anti-correlation obtained in this study is in agreement with the expectation from theoretical models that surface abundances are affected by the CNO-processed material from the inner regions. More recently, Khan et al. (2018) found that standard stellar models may underestimate the extra-mixing efficiency at the base of the convective envelope, which seems to increase with decreasing metallicity. Because of its apparent universality, Denissenkov & VandenBerg (2003) even proposed to call such a non-convective mixing process the ‘canonical extra mixing’. The physics mechanisms that are responsible for such extra-mixing processes are a matter of debate. For instance, thermohaline mixing was proposed as a possible explanation for the anomalous abundances in the envelopes of red giants (e.g. Charbonnel & Zahn 2007). Stancliffe et al. (2009) showed that by adopting the prescription introduced by Charbonnel & Zahn (2007) it is possible to reproduce the abundance trends observed across a wide range of metallicities for both carbon-rich and carbon-normal stars in the upper RGB phase, while Angelou et al. (2011) shows that this solution would work also for globular cluster stars. More modern parametrizations of thermohaline mixing in stellar models seem to be more compatible also with the Li abundances observed in these stars (Henkel et al. 2018), but a definitive theoretical solution is not yet defined for this problem (e.g. Tayar & Joyce 2022; Fraser et al. 2022), and it is unclear if more mixing mechanisms are needed (e.g. McCormick et al. 2023; Aguilera-Gómez et al. 2023).

Denissenkov & Pinsonneault (2008) examined changes in C and N abundances in Carbon Enhanced Metal Poor stars and non Carbon-enhanced Very Metal Poor (VMP) stars (which is the case of interest here) that could be associated with the canonical extra mixing in RGB stars. The C abundances measured in our stars are given in Table 6. In Fig. 9, we compare them with the predictions by Denissenkov & Pinsonneault (2008). For our investigated stars, we calculated the value of absolute luminosity given as log(L/L), and based on the classical formula: log(L/L) = −2log(P) −0.4V +0.4A(υ), where V is the magnitude and P is the parallax taken from the SIMBAD database (Gaia DR3, Gaia Collaboration 2020). To take into account the interstellar absorption, A(υ), color excess data from the following works were used, for HE 1523-0901: E(BV) = 0.138 (Schlegel et al. 1998); HD 6268: E(BV) = 0.017 (Roederer et al. 2014); HD 195636: E(BV) = 0.06 (Bond 1980). Finally, for HD 121135 the E(BV) is not taken into account.

The calculations yielded the following values, also used in Fig. 9: log10(L/L) = 2.42, 2.44, 2.05, and 1.74 for HE 15230901, HD 6268, HD 121135, and HD 195636, respectively. Based on their C abundances and luminosities, HD 121135, HD 6268 and HE 1523−0901 are consistent with the predictions by Denissenkov & Pinsonneault (2008). In particular, the initial C abundance of HD 6268 and HE 1523-0901 seems to have been strongly depleted to produce N. On the other hand, HD 195636 seems also to be C depleted, but it does not follow the trend of the other stars. Therefore, we can derive that HD 195636 has already passed the RGB stage and has moved to the HB stage (see Fig. 8).

In order to assess the frequencies of carbon-enhanced stars, Placco et al. (2014) took into account the expected depletion of the surface carbon abundance, occurring due to CN processing on the upper RGB, and recovered the initial carbon abundance of those stars using the STARS stellar evolution code (Eggleton 1971; Stancliffe & Eldridge 2009). If we consider the mean corrections due to stellar mixing by Placco et al. (2014), the pristine [C/Fe] ratios for the four target stars would be +0.28, −0.32, −0.11 and −0.69 for HE 1523-0901, HD 6268, HD 121135, and HD 195636, respectively3. Even taking into account mixing corrections, HD 195636 seems to be significantly depleted in carbon.

We notice that very faint C molecular bands in the spectrum of this star may also be detected, yielding the same low C values ([C/Fe] = −0.76). HD 195636 was also studied by Takeda & Takada-Hidai (2013) together with other 46 stars. Based on NLTE analysis of C I lines at 1.068-1.069µ, for HD 195636 they reported [C/Fe] = −0.47, which is 0.3 higher than our value. For HD 6268 they obtained [C/Fe] = −0.61 instead of [C/Fe] = −0.84 in this study and −0.91 in the study by Roederer et al. (2014). Finally, for HD 121135 Takeda & Takada-Hidai (2013) measured [C/Fe] = −0.05, which is 0.4 dex higher than this study. As pointed out by Takeda & Takada-Hidai (2013), their C abundances were appreciably higher than those from CH lines, especially for very metal-poor giants of low gravity. Such a difference was due to the NLTE correction taken into account for the C I lines, which progressively increases with decreasing metallicity. In our calculations we did not take into account departures from LTE for C abundances. Therefore, it is not surprising to obtain such a large variations between the [C/Fe] values derived by different authors. It should also be noted that, due to the formation of molecules in higher layers of the atmosphere compared to atomic lines, dwarfs and giants show C abundance discrepancies up to −0.5 to −0.7 dex in 3D hydrodynamics models with respect to synthetic spectra from standard 1D model atmospheres (Collet et al. 2007; Behara et al. 2010; Steffen et al. 2018). This introduces an additional significant error in the determination of C abundance. So, based on all of these considerations, we did not take into account the carbon content for the nucleosynthesis analysis discussed in the next sections.

thumbnail Fig. 7

Abundance distributions of the stars presented in this work for [α/Fe] with respect to [Fe/H] (top panel), and [Mg/Mn] vs. [Al/Fe] (bottom panel).

thumbnail Fig. 8

Diagram of log 𝑔 vs. Teff from Demarque et al. (2004) and the position of the four stars studied in this work.

thumbnail Fig. 9

C abundances ([C/H] = −3.44, −3.38, −1.88, and −3.54 for HE 1523-0901, HD 6268, HD 121135, and HD 195636 respectively) are shown with respect to the derived luminosities log10(L/L) (see the text for details). The black line takes into account the effect of to canonical extra mixing for non C-enhanced VMP stars (Denissenkov & Pinsonneault 2008, see their Fig. 2).

thumbnail Fig. 10

Abundance distribution of [El/Fe] with respect to atomic number for HE 1523−0901 (red empty asterisks), HD 6268 (black full circles), HD 121135 (blue full triangles) and HD 195636 (purple full squares). The Th abundance for HD 6268 is taken from Roederer et al. (2014) (black semicircle).

7 Nucleosynthesis signatures

The elemental abundance patterns derived for our four peculiar stars are shown in Fig. 10. NLTE corrections are considered for O, Na, Mg, Al, K, Mn, Cu, Ba, Eu (see the details in Sect. 4). Various works on the influence of NLTE on iron determinations present different estimates as mentioned in Sect. 1. If we rely on the work of Bergemann et al. (2012), which considered the influence on stars similar in parameters to those studied here (for example, HD 122563 with Teff = 4665 ± 80 K, log 𝑔 = 1.64 ± 0.16, [Fe/H] = −2.61), the authors found that the iron abundance determination for the Fe II lines are practically unaffected by deviations from LTE, and for the lines of neutral iron the deviations do not exceed 0.15 dex. These uncertainties are close to the errors in determining the abundance of elements, but the NLTE correction is positive. If we take this correction into account when comparing with nucleosynthesis calculations, we would roughly obtain a systematic shift of 0.10–0.15 dex in Fig. 10, and the overall distribution of elements is still within the reported error bars. Here we discuss the observed nucleosynthesis signatures in comparison to theoretical stellar predictions and to other stars with similar metallicities.

One of the major advantages of galactic archaeology studies is that the element content of old metal-poor stars typically show the abundance pattern they inherited at their birth. The ongoing nuclear burning and production of new elements taking place in the interior does not show up in the surface abundances which are observed. Thus, such stars are the witnesses of all nucleosynthesis events which took place prior to their formation (e.g. Wheeler et al. 1989; Sneden et al. 2008; Frebel 2010; Matteucci 2012). Exceptions from this general behavior can be found in evolved stars that experienced already dredge-up of processed material from the stellar interiors, and - as the stars presented in this paper are giants - this should be considered here as well (e.g. Busso et al. 2007; Denissenkov & Pinsonneault 2008). With the CNO-cycle a significant amount of C and some O is converted to N. All of our four stars show such a depleted C-abundance. i.e. [C/Fe] = −0.62 for HE 1523-0901, −0.84 for HD 6268, −0.48 for HD 121135, and −0.76 for HD 195636. We can report enhanced N of 0.78 for HE 1523−0901 and 0.91 for HD 6268 (see Sect. 6). However, most of the elements beside C and N (and possibly F and Na) will not be significantly modified (e.g. Palmerini et al. 2011). Therefore, these stars can still be used to study their pristine abundance signatures for most of the observable elements. The star HD 121135 has [Fe/H] = −1.40, which is the highest among the stars considered in this work. With such a metallicity, the pristine composition of the star is expected to be mostly a product of GCE, where a few generations of CCSNe contributed to build the chemical abundances of the interstellar medium to some degree of homogeneous signature (e.g. Prantzos et al. 2018; Kobayashi et al. 2020; Matteucci 2021). On the other hand, the other three peculiar stars considered in this work have [Fe/H] < −2.5. For these much lower metallicities, only a few CCSNe had the time to contribute (and even less so rare stellar sources), and therefore inhomogeneous abundances are expected (and observed) in metal-poorstars (e.g. Argast et al. 2000; Gibson et al. 2003). While simple GCE simulations do not have much predictive power to study these conditions, inhomogeneous GCE models and multi-dimensional cosmological chemodynamical simulations can be used for com-parison with the observations (e.g. Brook et al. 2012; Mishenina et al. 2017; Kobayashi & Taylor 2023). The abundances of the most metal-poor stars or of the most anomalous metal-poor stars are also used for stellar archaeology studies, where observations are directly compared with the abundance yields of theoretical stellar models (e.g. Sneden et al. 2003; Nomoto et al. 2006; Aoki et al. 2007; Frebel 2010; Keller et al. 2014; Yong et al. 2021; Farouqi et al. 2022; Placco et al. 2023). This approach becomes a powerful tool to study stellar simulations and nucleosynthesis once we assume that the abundances observed today were mostly shaped by one (or very few) stellar sources or nucleosynthesis processes before the formation of the star. Within this context, below we discuss the abundances of HE 1523-0901, HD 6268, HD 12113, and HD 195636.

7.1 Elements up to Zn (Z=30)

The four stars considered in this work have [Fe/H] < −1.3. In this metallicity range the GCE of elements up to the iron group in the Milky Way is still mostly dominated by CCSNe. Indeed, Type Ia supernovae did not have time to give a significant contribution to the overall galactic chemical inventory (e.g. Matteucci & Greggio 1986; Wheeler et al. 1989; Timmes et al. 1995).

HD 121135. As mentioned earlier, we expect that HD 121135 abundances are representative of the GCE at the time of its formation, with the exception of C and N. In Fig. 11, the HD 121135 composition is shown compared to the abundance distribution of stars within the same metallicity range (Frebel 2010). For most of the elements, the HD 121135 abundances seem to be consistent with Frebel (2010) data. We do not consider C in the comparison, since this element is available only for few stars and we have seen that during the HD 121135 evolution the initial C has been modified. On the other hand, the observed abundance of the odd elements Al (Z = 13) and Sc (Z = 21) are significantly lower compared to the typical Galactic disk stars in the same metallic-ity range. Such variation of these elements compared to nearby even elements (e.g. Mg and Ca respectively) would be expected for stars at much lower metallicities than HD 121135, belonging to the galactic halo (e.g. François et al. 2020; Lombardo et al. 2022).

HE 1523−0901, HD 6268 and HD 195636. In Fig. 12 the HE 1523-0901, HD 6268 and HD 195636 star abundances are compared with observations by Frebel (2010) and with stellar calculations by Limongi & Chieffi (2018) at comparable metal-licities. Compared to most of other stars in the reference sample, HE1523-0901 shows a low abundance of Na (Z = 11), Ti (Z = 22) and Zn (Z = 30) with respect to Fe but still compatible with the errors. The low Sc (Z = 21) and Co (Z = 27) instead classify HE 1523-0901 as an outlier. The [C/Fe] abundance is much lower than for most of other stars, but we have already seen that this is due to the instrinsic HE 1523-0901 nucleosynthesis and it is not relevant here. We may instead expect that other peculiar HE1523-0901 abundances are indicative of the dominant contribution of one or a few CCSNe affecting the pristine gas from where the observed star formed.

The CCSNe yields of the α-elements O and Mg and of the odd element Na are mostly the products of hydrostatic He and C-burning in their massive star progenitors, and therefore we may expect that their production with respect to Fe is increasing with the initial progenitor mass. The heavier α-elements Si and Ca are instead resulting from explosive O and Si-burning together with the iron group elements (including Ti, sometimes defined as an α-element). Therefore, their production is more affected from the physics properties of the CCSN explosion and of the following propagation of the CCSN shock in the inner ejecta (e.g. Thielemann et al. 1996; Rauscher et al. 2002; Pignatari et al. 2016; Sukhbold et al. 2016). In these conditions, typical one-dimensional stellar models with parametrized CCSN explosions historically struggle to reproduce observations. Low stellar predictions for Ti and Sc with respect to Fe are good examples, causing a systematically low [Ti/Fe] and [Sc/Fe] in GCE models compared to Milky Way stars at different metallicities (e.g. Timmes et al. 1995; Goswami & Prantzos 2000; Prantzos et al. 2018; Kobayashi et al. 2020). Sieverding et al. (2023) recently showed that such a limited production disappears in a three-dimensional CCSN explosion. However, these simulations are computational expensive since the evolution of the neutrino-driven explosion needs to be followed for several seconds after core bounce to get the complete nucleosynthesis. More models will be required to provide a benchmark for observations and guidance to more simple parametrized CCSN stellar sets. PUSH models for CCSNe mimic the multi-dimensional nucleosynthesis of CCSNe still with an approximated spherical approach, but permitting to follow the correct Ye behavior resulting from neutrino interactions during the collapse and explosion (Perego et al. 2015; Thielemann et al. 2018; Curtis et al. 2019; Ebinger et al. 2020; Ghosh et al. 2022). Also for these models the endemic underproduction of Sc compared to Fe seems to be solved, while Ti is still problematic. Ritter et al. (2018) also found that the occurrence of C-O shell mergers during the hydrostatic evolution of the massive star progenitor may boost the production of Sc (and other odd elements like K, Z = 19). However, C-O shell mergers are convective-reactive events where the predictive power of one-dimensional models is limited, and multidimensional hydrodynamics models are required to capture their impact on the nucleosythesis and on the stellar structure (e.g. Andrassy et al. 2020). Finally, fast-rotating massive stars may show relevant variations in the production of intermediate-mass elements compared to non-rotating progenitors.

In Fig. 12, we compare the abundance pattern of our stars (including HE 1523−0901 in the upper panels) with non-rotating models for 15 M and 25 M stars and with their analogous rotating models. We choose the models with a high rotation velocity from Limongi & Chieffi (2018), to maximize the impact of rotation on the CCSN yields. As expected, the non-rotating models underproduce Ti and the odd elements Sc and K with respect to Fe. Additionally, they underproduce Co and in particular Zn. The rotating models shown in the figure only marginally overproduce Si and Ca, but they are overall compatible with all the HE 1523-0901 abundances up to Fe. While the models are still underproducing the Ti observed for the reference stellar sample with respect to Fe, the Ti-poor HE 1523-0901 is reproduced. On the other hand, rotation does not provide a solution for the low production of Co and Zn.

The production of the element Zn is another interesting puzzle for nuclear astrophysics. As we discussed for HE 1523-0901, the yields of typical CCSNe historically failed to reproduce the high abundance of Zn with respect to Fe observed in particular in metal-poor stars in the Milky Way. Hypernovae (HNe, with explosion energies at least ten times larger than typical CCSNe) yields show high Zn abundances with respect to Fe (e.g. Nomoto et al. 2006; Fryer et al. 2006; Grimmett et al. 2021), due to higher entropies attained in the explosion (e.g. Tsujimoto & Nishimura 2018; Farouqi et al. 2022). Therefore, it has been proposed that Zn is a signature of HNe contribution to GCE. Kobayashi et al. (2011, 2020), however, showed that in order to reproduce the Zn observations, at low metallicity 50% of all CCSNe with progenitor masses larger than 20 M should explode as HNe, which is at least an order of magnitude too high compared to observations (e.g. Podsiadlowski et al. 2004). A potential solution for the present Zn underproduction may be found as a result of slightly proton-rich (Ye > 0.5) explosive Si-burning in the innermost ejecta of CCSNe (e.g. Fröhlich et al. 2006), wich can be achieved in several PUSH models also for typical CCSN explosion energies (e.g. Curtis et al. 2019; Ghosh et al. 2022).

Compared to other stars in the reference sample, in Fig. 12 HD 6268 shows a low abundance of Na and Mn (Z = 25) with respect to Fe but still compatible with the errors. The low Sc and Co classify HD 6268 as an outlier. Non-rotating CCSN models underproduce the HD 6268 abundances of K, Sc, Ti, Cu (Z = 29) and Zn. The rotating-models overproduce Si and Ca, and confirm the issue fitting Cu and Zn.

Finally, compared to observations HD 195636 show a high abundance of Al (Z = 13) and low abundance of Sc and Co with respect to Fe but still compatible with the errors. Non-rotating CCSN models underproduce the HD 195636 abundances of K, Sc, Ti, Co and Zn. The rotating-models overproduce Si, and confirm the issue fitting Co and Zn.

thumbnail Fig. 11

Observed abundances of HD 121135 are shown in comparison with the abundance distribution of stars with analogous metallicity (−1.62 ≳ [Fe/H] ≳ −1.12) by Frebel (2010). The rectangle boxes cover the observed values between 25% and 75% of all the data points, for elements with more than 15 observed stars. The median values of the models are also shown in the boxes. The error bars cover 1.5 times the range of the box plot. Any points outside the error bars (outliers) are shown as open circles.

thumbnail Fig. 12

Abundance distribution up to Zn of HE 1523-0901 (upper panels), HD 6268 (central panels) and HD 195636 (lower panels) are compared to other stars with similar [Fe/H] (within 0.5 dex) by Frebel (2010) and to stellar model predictions for CCSNe of initial mass 15 M and 25 M and metallicity Z = 0.0001, non rotating (left panels) and with initial rotation equal to 300 Km per second (right panels), by Limongi & Chieffi (2018).

7.2 Beyond Zn: neutron-capture elements

Neutron-capture elements are made in different types of stars, during stellar hydrostatic evolution and explosions. In addition, the relative contribution by each process depends on the stellar source and at which time during galactic evolution the different processes are contributing. For the solar abundances, it is an established paradigm that about half of the abundances beyond Fe are made by the r-process (Cowan et al. 2021, and references therein), and half by the s-process (Käppeler et al. 2011, and references therein). Nevertheless, observational evidences are supporting the existence of additional processes or stellar sources predicted from theoretical stellar simulations, which may have also contributed to the solar abundances. Among others we mention here neutrino-driven winds ejecta from CCSNe (e.g. Fröhlich et al. 2006; Farouqi et al. 2009; Roberts et al. 2010; Arcones & Montes 2011; Wanajo et al. 2011a; Arcones & Thielemann 2013), electron-capture supernovae (e.g. Wanajo et al. 2011b; Jones et al. 2019) and the intermediate neutron-capture process from different types of stars (i-process, e.g. Herwig et al. 2011; Lugaro et al. 2015; Roederer et al. 2016; Jones et al. 2016; Côté et al. 2018; Choplin et al. 2022). Based on GCE calculations and stellar archaeology, Travaglio et al. (2004) argued about the existence of the Lighter Element Primary Process or LEPP, an additional s-process component, to fully reproduce the solar abundance distribution of the lighter heavy elements beyond Fe up to Ba. The s-process in fast-rotating massive stars would represents an ideal candidate for such a component (e.g. Pignatari et al. 2008; Frischknecht et al. 2012, 2016; Limongi & Chieffi 2018). However, the LEPP existence or its nature in the solar abundances is still a matter of debate (Cristallo et al. 2015; Bisterzo et al. 2017; Prantzos et al. 2020; Vincenzo et al. 2021; Rizzuti et al. 2021), and a direct connection between the solar composition and anomalous abundances observed in metal-poor stars is uncertain (e.g. Montes et al. 2007; Qian & Wasserburg 2008, and references therein).

For stars younger than the Sun in open clusters, the existence of an anomalous i-process contribution causing a Ba enhancement compared to solar was not expected (Mishenina et al. 2015), and it is still matter of debate if this may be a (still not identified) problem with Ba observation (e.g. Baratella et al. 2021; D’Orazi et al. 2022, and references therein).

While metal-poor stars may be used to trace the chemical enrichment history of the Galaxy, leading eventually to the imprint of the solar abundances (Matteucci 2021, and references therein), their heavy element abundances will carry the signature of a mixture of neutron capture processes different from the Sun (Molero et al. 2023). For instance, the s-process contribution from AGB stars to the GCE of the Milky Way became relevant for Pb at [Fe/H] ≳ −1.5 (e.g. Travaglio et al. 2001b; Kobayashi et al. 2020) and for Ba and La at [Fe/H] ≳ −1 (Travaglio et al. 1999, 2001a), i.e. at higher metallicities compared to the stars presented in this work (except for HD 121135, but we do not have data for Pb). Concerning the r-process, observations seem to support the existence of a number of different active sources, with their relative relevance changing over Galactic evolution time (e.g. Roederer et al. 2010; Wehmeyer et al. 2015; Côté et al. 2019; Farouqi et al. 2022; Mishenina et al. 2022; Van der Swaelmen et al. 2023). In general, for observations of heavy elements at low metallicities the most significant star-to-star abundance scatter is obtained in the Sr-Pd region, where different stellar sources are potentially contributing to the galactic enrichment (e.g. Sneden et al. 2008; Cescutti et al. 2013; Hansen et al. 2014; Roederer et al. 2022). On the other hand, when heavy element abundances are considered for single stars and compared with stellar simulations, a major level of complexity is a likely outcome, well beyond the expectations of nucleosynthesis paradigms built when starting from the solar abundances (e.g. Arlandini et al. 1999; Travaglio et al. 2004; Sneden et al. 2008).

HD 121135. As we have discussed in the first part of this section, for HD 121135 metallicity ([Fe/H] = −1.4) we would not expect any significant contribution from the s-process in AGB stars yet to be relevant (excepting for Pb, which abundance is not known for this star). Therefore, the r-process could be the only nucleosynthesis signature observed. However, we have discussed the existence of other nucleosynthesis processes contributing up to the Pd mass region, appearing even earlier than the r-process (e.g. Truran et al. 2002).

In Fig. 13 (upper-left panel), HD 121135 is compared to the abundance of the classical r-process star CS22892-052 (Sneden et al. 2003, 2009). The two stellar abundances are shown on the same scale, using Eu as a normalization reference. HD 121135 abundances relative to the r-process element Eu are much higher than CS22892-052 up to Ce included (Z = 58). Nd (Z = 60) and Ho (Z = 67) are also enhanced even taking into account observational uncertainties.

HE 1523-0901. The HE 1523-0901 abundance pattern in Fig. 13, upper right panel, shows in first approximation an r-process pattern. Taking into account 1 σ errors for our measurements and the r-process reference star, we observe a lower production for most of the lighter r-process elements with respect to Eu. Ba shows the most significant underproduction, in the order of 0.4 dex. On the other hand, there is no obvious departure from the r-process pattern, that would suggest an additional or alternative nucleosynthesis contribution to HE 1523-0901. Also the abundance signature in the actinide region seems to be consistent with the reference star CS22892-052.

HD 6268. In Fig. 13, lower left panel, HD 6268 show an r-process pattern for the observed elements heavier than Sm (Z = 62) included. On the other hand, the elements at the Sr peak and between Ba and Nd (Z = 60) in HD 6268 are clearly overproduced compared to the CS22892-052 r-process pattern. The peculiar heavy element abundances of this star show therefore a behavior similar to HD 121135.

HD 195636. If we consider the stars presented in this work, for HD 195636 we have beyond Zn only data available for Sr (Z = 38), Ba (Z = 56) and Eu (Z = 63) (Table 6). Within errors, [Sr/Fe] is consistent with solar, [Eu/Fe] is mildly super-solar or solar, and [Ba/Fe] is about a factor of four lower than solar. Figure 12 does not show the HD 195636 abundances of those elements, which would be plotted a little lower than the bulk of other stars with similar metallicity in the boxplot. In Fig. 13, (lower-right panel), HD 195636 shows a similar signature for Ba and Eu compared to CS22892-052, and a mild Sr enrichment. With the limited number of elements available, it is not possible to clearly distinguish additional nucleosynthesis components in this star except for the r-process.

HE 1523-0901 and HD 195636 abundances therefore seem to fit quite well with a classical understanding of nucleosynthesis of the heavier r-process elements in the early Galaxy as we introduced earlier. On the other hand, HD 121135 and HD 6268 show boosted abundances departing from the r-process CS22892-052 pattern at the Sr peak (which are quite common, e.g. Cowan et al. 2021; Roederer et al. 2022) and beyond it, involving several lanthanide elements (which is not typically expected even considering the contribution from the LEPP component, see Travaglio et al. 2004). For the metallicities of these stars ([Fe/H] = −1.4 and [Fe/H] = −2.55 respectively), the s-process in fast-rotating massive stars and the i-process could affect the local GCE signature of lanthanide elements and possibly explain the departure from the r-process signature.

Concerning fast-rotating massive stars, for instance, the effective capability for the s-process to efficiently contribute to the Ba mass region and above is still quite uncertain, with widely different results shown in the literature, depending on the stellar models used and the nuclear reaction rates (e.g. Pignatari et al. 2008; Best et al. 2013; Limongi & Chieffi 2018; Frost-Schenk et al. 2022; Lugaro et al. 2023). A more effective impact at the Sr peak is, however, predicted from most of models of fast-rotating massive stars.

In Fig. 14 we compare the observed [Sr/Y] and [Ba/La] ratios with nucleosynthesis calculations representative of the production in fast-rotating massive stars (Pignatari et al. 2008; Frischknecht et al. 2016; Choplin et al. 2018; Limongi & Chieffi 2018). The simulations are performed with the aid of the post-processing network code PPN (e.g. Pignatari & Herwig 2012), applied to a single-zone trajectory from a complete 25 M star, resulting from calculations with the Geneva stellar evolution code GENEC (Hirschi et al. 2004). It is representative of the s-process production during both central He-burning and shell C-burning (Nishimura et al. 2017a). The initial metallicity used for the calculations is [Fe/H] = −3. In order to take into account the possible range of s-process production from different fast-rotating massive star models, the same parametric approach as applied, for instance, in Pignatari et al. (2013) and Roederer et al. (2022) is used here, where the abundance of 22Ne, consumed by the 22Ne(α,n)25Mg reaction during core He burning, is used as a main parameter.

In the upper panel of Fig. 14, the obtained s-process abundances for the elements considered are shown. In particular, the calculations show that an efficient production of the Sr s-process peak starts when the 22Ne(α,n)25Mg reaction burns primary 22Ne in the order of few per mill in mass fraction. When the amount of 22Ne approaches values in the order of 1 per cent or more, also the Ba-peak elements are produced in comparable amount. In the present framework, the typical range of s-process production in fast rotating massive star models is represented (e.g. Choplin et al. 2018; Limongi & Chieffi 2018). In the central and lower panels of Fig. 14, the HD 121135 and HD 6268 data show similar [Sr/Y] and [Ba/La] ratios within observational uncertainties. These observations would be both compatible with s-process abundances obtained for an amount of 22Ne consumed by the 22Ne(α,n)25Mg neutron source in the order of a few 10−4. However, the upper panel of the same figure shows that no significant production of s-process elements should be expected from fast-rotating models from such a low amount of primary 22Ne generated by internal rotation. On the other hand, for larger amounts of primary 22Ne consumed to generate neutrons both the predicted [Sr/Y] and [Ba/La] ratios are not compatible with HD 121135 and HD 6268. In this case [Ba/La] is mostly indicative, where an s-process production at the Ba peak would yield a ratio in the order of 0.3 dex instead of solar (HD 121135) or slightly sub-solar (HD 6268). Considering the higher metallicity of HD 121135, we cannot exclude that also fast-rotators would have the time to contribute to shape the pristine stellar abundances. However, they do not clearly provide their dominant signature, which is much closer to the r-process star CS22892-052 for the [Ba/La] ratio. We have seen that HE 1523-0901 mostly shows an r-process pattern, but with some significant variation. In Fig. 14, we can highlight again this aspect, where the [Sr/Y] is consistent with CS22892-052 within uncertainties, but the [Ba/La] is significantly lower. This could suggest that the r-process abundances in HE 1523-0901 was produced from a different stellar source that made CS22892-052, and whose signature would not dominate the r-process residual in the Solar System (more consistent with CS22892-052, e.g. Bisterzo et al. 2017). An open question to be addressed by future theoretical studies is what are the r-process nucleosynthesis conditions allowing to yield the lowest Ba/La ratios observed in the early Galaxy, but without greatly affecting the overall r-process elemental pattern.

The i-process can also be activated in massive stars (Roederer et al. 2016; Banerjee et al. 2018; Roederer et al. 2022), and therefore it could have contributed or contaminated the observed abundances of HD 121135 and HD 6268. However, neither of these stars seem to have abundances compatible with an i-process signature. While Ba and La are both enhanced compared to CS22892-052 (Fig. 13), the [Ba/La] ratio is consistent with an r-process production (see Fig. 14). The i-process instead predicts a [Ba/La] significantly larger than solar (e.g. Bertolli et al. 2013). Also the abundances at the Sr peak do not seem to be compatible with an i-process pollution scenario.

In Fig. 15, we compare the HD 121135 abundance pattern with the results from i-process conditions obtained for a mild neutron exposure feeding mostly the Sr-peak elements. We use here the simplified nucleosynthesis setup also adopted by e.g. Bertolli et al. (2013); Mishenina et al. (2015); Roederer et al. (2016); Roederer et al. (2022). Compared to HD 121135, we find that the i-process overproduces Y by about 0.5 dex, with a departure that is significantly larger than the observational uncertainties.

In Appendix A, we discuss the astrophysical interpretation of the abundances beyond iron observed in our stars in greater detail, within the context of stellar archaeology and the current debate about origin of the r-process.

thumbnail Fig. 13

Heavy element abundance distributions of HD 1211135, (upper left) HE 1523-0901 (upper right), HD 6268 (lower left) and HD 195636 (lower right) are compared to the abundance pattern of the r-process star CS22892-052 (Sneden et al. 2003, 2009).

thumbnail Fig. 14

Production of Sr, Y, Ba and La is shown for nucleosynthesis models of fast-rotating massive stars for different amounts of22Ne consumed by the 22Ne(α,n)25Mg reaction rate (top). The trends of [Sr/Y] (middle) and [Ba/La] (bottom) are shown with the stars observed in this work with current error ranges if available, in comparison with the r-process star CS22892-052 (Sneden et al. 2003, 2009).

thumbnail Fig. 15

As in Fig. 13, the heavy element abundance distributions of HD 121135 are compared to the abundance pattern of the r-process star CS22892-052, and to the i-process abundances normalized to Zr.

8 Conclusions

We present a new study of the main properties and abundances for four metal-poor stars: HE 1523-0901 ([Fe/H] = −2.91 ± 0.15), HD 6268 ([Fe/H] = −2.55 ± 0.19), HD 121135 ([Fe/H] = −1.63 ± 0.14), and HD 195636 ([Fe/H] = −2.79 ± 0.04). Using the stellar spectra obtained with the HRS echelle spectrograph at the Southern African Large Telescope, for each star we derive the abundances of up to 40 elements with errors between 0.10 and 0.20 dex. We adopted the LTE approach for all the elements and NLTE corrections were applied for O, Na, Mg, Al, K, Mn, Cu, Sr, and Ba. For the other elements, we expect the NLTE corrections to be much smaller than current observational errors. HE 1523-0901, HD 6268, and HD 121135 are in the RGB phase, while HD 195636 already is on the HB. We therefore show that the observed C and N abundances cannot be considered as representative of their pristine composition, but instead were modified by their intrinsic nucleosynthesis. On the other hand, the other elements may be used to study the origin and the formation of the four stars. The main results are the following:

  • HE 1523-0901. Based on its dynamic properties, we show that HE 1523−0901 is a halo star. Compared to other galactic stars in the same metallicity range, HE 1523−0901 has lower Sc and Co abundances, while the abundances of Na, Ti and Zn with respect to Fe are also low but still compatible with the errors. Compared to a set of representative non-rotating CCSN models, HE 1523−0901 shows much higher Ti and the odd elements Sc and K with respect to Fe. Compared to rotating models, the star shows lower abundances of Si and Ca, but it is overall compatible with all abundances up to Fe. In particular, the Ti-poor signature of HE 1523−0901 is reproduced. On the other hand, models with rotation do not provide a good solution for the low production of Co and Zn. Beyond Zn, HE 1523-0901 shows an abundance signature similar to the r-process, although most of the elements are underproduced relatively to Eu compared to the abundandes in the r-process reference star CS22892-052. Ba shows the most significant underproduction compared to the r-process pattern of CS22892-052), in the order of 0.4 dex. Therefore, we can classify HE 1523−0901 as an r-II stars ([Eu/Fe] = 1.67), but showing anomalous abundance features like the really low Ba/La ratio, which are difficult to explain with classical r-process simulations.

  • HD 6268. We find that HD 6268 is a rare prototype of very metal-poor thick disk stars. The low Sc and Co abundances make HD 6268 an outlier compared to other stars with similar metallicity. The CCSN models from non-rotating progenitors considered in our comparison underproduce K, Sc, Ti, Cu and Zn for HD 6268, while the models from rotating progenitors overproduce Si and Ca and still underproduce Cu and Zn. Beyond Zn, HD 6268 shows peculiar features that will definitely require further investigation: we find an r-process pattern beyond Sm, while the elements at the Sr peak and between Ba and Nd are relatively overproduced compared to the heaviest elements. Therefore, we could classify HD 6268 as an r-I star based on the Eu abundance, but it also show typical features of a limited-r star if we look at the relative high abundances of Sr, Y and Zr. On the other hand, the marginal actinide boost observed would be more compatible with r-II star features.

  • HD 121135. Its peculiar dynamic features make unclear if this star is a halo, a thick disk or an accreted star. Below Zn, for most of the elements, HD 121135 is compatible with other galactic disk stars with the same metallicity. However, the odd elements Al and Sc are significantly lower compared to other stars, which would be more expected for stars with lower metallicities than HD 121135, belonging to the galactic halo. Beyond Zn, HD 121135 shows features similar to HD 6268. Compared to the classical r-process star CS22892-052, the abundances in our star are enhanced up to Ce (included). Nd and Ho are also enhanced. At this stage it is difficult to identify if there is a significant contribution from some neutron-capture process other than the r-process, which would be reasonable considering the relatively higher metallicity of HD 121135 compared to the other stars discussed here. In general HD 121135 displays limited-r characteristics, but the Th detection would argue for an enriched r-I contribution instead.

  • HD 195636. This is clearly a halo star, with the typical high proper motions. Compared to other stars, below Zn HD 195636 shows a high abundance of Al and low abundance of Sc and Co with respect to Fe, but still compatible with the observational errors. The non-rotating CCSN models underproduce the HD 195636 abundances of K, Sc, Ti, Co and Zn. The rotating-models overproduce Si, and confirm the issue with Co and Zn. Beyond Zn, with the limited number of elements available for HD 195636 it is not possible to clearly distinguish different nucleosynthesis components. Sr, Ba and Eu abundances would be compatible with the r-process. Therefore, HD 195636 would be a borderline case between limited-r and r-I features.

In this work, we have provided the abundance pattern measured for a large number of elements in four metal-poor stars, and we have discussed them within the more general context of stellar archaeology. Among different abundance anomalies, we have identified, for instance, clear departures in the relative abundance of Ba and La from the classical solar r-process pattern for the r-II star HE 1523-0901. In general, even significant anomalies could not be identified with only a small number of measured elements available. This highlights the crucial importance to measure the chemical composition of a large number of stars, but also to provide stellar abundances from high-resolution spectra for as many elements as possible.

Acknowledgements

MP acknowledges significant support to NuGrid from NSF grant PHY-1430152 (JINA Center for the Evolution of the Elements) and STFC (through the University of Hull’s Consolidated Grant ST/R000840/1), and access to VIPER, the University of Hull High Performance Computing Facility. MP acknowledges the support from the “Lendület-2014” Programme of the Hungarian Academy of Sciences (Hungary). FKT acknowledges support from the European Research Council (FP7) under ERC Advanced Grant Agreement 321263 FiSH. MP acknowledges support from the ERC Consolidator Grant (Hungary) funding scheme (project RADIOSTAR, G.A. n. 724560) and from the National Science Foundation (USA) under grant No. PHY-1430152 (JINA Center for the Evolution of the Elements). This article is based upon work from the ChETEC COST Action (CA16117), supported by COST (European Cooperation in Science and Technology). We thank the ChETEC-INFRA project funded from the European Union’s Horizon 2020 research and innovation programme (grant agreement No 101008324), and the IReNA network supported by NSF AccelNet. MP also thank the UK network BRIDGCE. TM thanks V. Kovtyukh for several comments. TM also is grateful to the Laboratoire d’Astrophysique de l’Universite de Bordeaux for their kind hospitality. The authors would like to thank Piercarlo Bonifacio as a referee for the useful and detailed comments provided on the manuscript.

Appendix A Interpreting the heavy element abundances in terms of r-process contributions

Based on the observations of heavy elements discussed in Section 7.2, we could argue that for all our stars the abundance signature beyond the Sr-peak elements is due to or has been mostly shaped by the r-process. We have already mentioned that the r-process is not a universal process in nature as it has been assumed classically, and that different stellar sources are most likely responsible for its production in nature (Cowan et al. 2021, and references therein). In particular, it is well established now that there is not a unique picture in low-metallicity stars to show a solar-type r-process pattern (see e.g. Beers & Christlieb 2005; Cain et al. 2020; Holmbeck et al. 2020; Cowan et al. 2021; Farouqi et al. 2022). At least three different r-process patterns have been identified:

(a) limited-r stars which show elements as heavy as Eu but no third r-process peak elements and essentially no elements with Z > 70. Its limiting value for [Eu/Fe] has been defined to be less than 0.3, but Farouqi et al. (2022) have argued that it could be reduced to [Eu/Fe]<0. Additional constraints have been provided for Sr on the light (heavy) element side [Sr/Ba]>0.5, [Sr/Eu]>0 (in most cases >100).

(b) r-I stars are clearly r-process enriched and show a close to solar r-process pattern with [Eu/Fe]>0-0.3 and <1 with in all cases [Ba/Eu]<0, i.e. the Ba/Eu ratio being smaller than a solarlike s-process-dominated composition.

(c) r-II stars are highly r-process enriched with [Eu/Fe]>1 and follow a [Ba/Eu] constraint as in (b). Among the r-II stars there exists an important fraction with a so-called actinide boost and an over-abundance of [Th/Eu] relative to the solar system value. When utilizing the solar system value of Th at the time of its birth, this corresponds to (Th/Eu)>0.42 (see Table 6 in Farouqi et al. (2022)) which applies to more than 30% of r-II stars, but also to some r-I stars.

If we apply these criteria to the stars discussed in this work, HE 1523−0901 is a clear representative of r-II stars (with [Eu/Fe]=1.67); HD 6268 qualifies as an r-I candidate ([Eu/Fe]=0.47)4; and HD 195636 shows a mild r-process enrichment as a borderline case between limited-r and r-I stars ([Eu/Fe]=0.26), if following suggestions by Farouqi et al. (2022) to move down the limit between limited-r and r-I stars from [Eu/Fe]=0.3 to 0. For our star at the moment this is not clear, given the observational uncertainties and the limited number of elemental abundances known (for instance, there are no data for the third r-process peak elements). Finally, with [Eu/Fe]=0.03, HD 121135 is clearly a limited-r candidate, although the Th detection with [Th/Fe]=0.16 argues for an r-I star. Overall our four stars with their abundance patterns compare well with the extended overview of existing abundance observations of [El/Fe] shown in Fig. D1 of Saraf et al. (2023) and the limited-r, r-I, and r-II classification.

The stars studied in this work seem to be consistent with a scenario where the solar r-process pattern it is not a universal product of r-process sites in nature (see also the variations shown in Fig. 10). In principle, the source of such a variation could be explained by a unique astrophysical site but with varying conditions from event to event, or alternatively by a number of r-process sites contributing to the chemical evolution. Interestingly, we obtained similar conclusions also from Th and Eu observation of more metal-rich MW disk stars (Mishenina et al. 2022). Among the different stellar sites, recent r-process studies include regular CCSNe with a very weak r-process (see e.g. Ghosh et al. 2022; Wang & Burrows 2023), magneto-rotational (MR) SNe with a mostly relatively weak but varying r-process pattern (e.g. Winteler et al. 2012; Mösta et al. 2014; Nishimura et al. 2017b; Mösta et al. 2020; Reichert et al. 2021; Siegel 2022), collapsars/hypernovae (e.g. Siegel et al. 2019; Siegel 2022), as well as neutron star and neutron star-black hole mergers (e.g. Wanajo et al. 2014; Just et al. 2015; Wu et al. 2016; Siegel 2022; Holmbeck et al. 2023). Depending on their nature, these events may be identified as frequent or rare events (Cowan et al. 2021). The most frequent stellar explosions are CCSNe and their imprint is seen in GCE as early as [Fe/H]<−5. From the observational side, Farouqi et al. (2022) showed in their Fig. 26 (extracted from Abohalima & Frebel 2018)5 that the first limited-r events are observed around [Fe/H]~ −4, while r-I and r-II stars start to appear at slightly higher metallicity, with [Fe/H] between −4 and −3.5. This could indicate that limited-r producing events are apparently the most frequent of the three r-process sites and probably related to a rare class of super-novae (most probably magneto-rotational (MR) supernovae). On the other hand, r-I and r-II pattern producing events would be rarer and suggested to be related to compact binary mergers and collapsars. We also should consider the possibility that a fraction of these could also be responsible for actinide boost stars.

Farouqi et al. (2022) came to the conclusion that the ratio between MR supernovae and CCSNe is about 1/10 (related to the ratio between magnetars and the total number of neutron stars, Beniamini et al. 2019) and the ratio between compact binary mergers or collapsars and CCSNe is 1/120 or 1/125 (i.e. very similar). Fukagawa & Prantzos (2023) assumed instead 1/1000 to 1/100 for the ratio of mergers to CCSNe and about 1/4 to 1/5 between collapsars and mergers. The reasoning of these different sites is of course still preliminary. Especially whether compact binary mergers and/or collapsars are responsible for r-I and r-II (as well as actinide boost) abundance patterns or possible variations in these two classes of events might bare the chance to produce the full spread of the r-I and r-II stars is still not decided (see e.g. Holmbeck et al. 2019; Farouqi et al. 2022).

Thus, the observed abundance patterns for elements up to Zn (or slightly beyond) are shaped by the nucleosynthesis in (frequent) CCSNe, and show up already in stars with [Fe/H] ≲ −5. For higher metallicities, it is becoming more and more challenging to identify the signature of single CCSNe in the observed stars. The rarer r-process events (leading to limited-r, r-I, or r-II abundance patterns), appear observationally only for [Fe/H] ≳−4 (Farouqi et al. 2022, and references therein). For those observations of heavy elements, the imprint of a single (r-process) event is probably still a good assumption. This would imply that a superposition of typical CCSN patterns with a limited-r, r-I or r-II pattern applies for most r-enriched low-metallicity stars. Within this same scenario, a stellar abundance pattern resulting from contributions by CCSNe, a rare CCSN event (causing a limited-r pattern), and an r-I or r-II contribution could be also found for some cases (see e.g. Placco et al. 2023, for J1424-2542).

If we apply this understanding to our observations, HE 1523-0901 is a clear representative of r-II stars, also showing low abundances of the light r-elements, and argues for a single imprint among the heavy elements, but also already a CCSN contribution for the elements up to Zn. HD 6268, on the other hand, displays r-I features, but also higher abundances for Sr, Y, Zr (pointing to a limited-r contribution) and a marginal actinide boost might even argue for r-II features. HD 195636 represents a borderline case between limited-r and r-I features. And HD 121135, displaying clearly limited-r characteristics but also a Th detection arguing foran enriched r-I contribution. Thus, forsome of these borderline cases the observed abundance patterns are not necessarily pointing to only one polluting site. In fact, for [Fe/H]>−2 already a sufficient amount of (possibly different) r-process events took place to lead to an averaged r-process pattern which resembles one dominating r-process source (Côté et al. 2019, and references therein).

A number of independent investigations by Hartwig et al. (2019, 2023) and e.g. Cescutti et al. (2021); Han et al. (2021); Scannapieco et al. (2022); Molero et al. (2023); Carrillo et al. (2023) (but only for lighter elements up to Fe) as well as Siegel et al. (2019); Fukagawa & Prantzos (2023); Skinner & Wise (2024); Kolborg et al. (2023) have followed along such lines and discussed contributions from different sources (including rare events) within a galactic chemical evolution framework. In summary, we can conclude that low-metallicity stars with [Fe/H]<−2.5 already show, in all cases, a CCSN abundance contribution for the elements lighter than Zn, while for heavier elements a single (or in rare cases very few, possibly different) r-process sites have contributed. On the other hand, the argument of a dominating r-process source shaping the abundances of heavy elements could still be made for the majority of MW disk stars (Côté et al. 2019, and references therein).

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3

Notice that by using the corrections given by Henkel et al. (2018), we would instead obtain [C/Fe] = −0.19 to −0.05 (HE 1523-0901), −0.51 to −0.37 (HD 6268), −0.3 to −0.2 (HD 121135) and −0.76 (HD 195636, with no corrections to be applied). These different corrections do not change our discussion presented in this section.

4

Notice however that when comparing our abundance data to Fig. D1 in Saraf et al. (2023), which provides also an extended overview of all existing observations, HD 6268 represents for the light elements like Sr, Y, Zr a borderline case between limited-r and r-I, and for some abundances of heavier elements a borderline case between an r-I and an r-II star. Farouqi et al. (2022) list the star in their Table 6 as a marginal actinide-boost candidate. This could argue for a superposition of two events, contributing to these features.

All Tables

Table 1

Coordinates and magnitudes of the studied stars, adopted from SIMBAD, and their parallaxes from Gaίa DR3.

Table 2

Targets and their observational log (SALT).

Table 3

Targets and their observational log (ESO-VLT-U2).

Table 4

Stellar parameters of the stars of this study.

Table 5

Comparison of the atmospheric parameters derived in this work with the literature.

Table 6

Elemental abundances of our target stars.

Table 7

Abundance errors due to atmospheric parameter uncertainties as examples for HE 1523-0901 with the stellar parameters Teff = 4550 K, log 𝑔 = 0.80, Vt = 2.5 km s−1 and [Fe/H] = −2.82.

Table 8

[El/Fe] ratios of our stars are compared with the literature for HE 1523–0901, HD 6268, and HD 195636.

Table 9

Distance of the targets from Bailer-Jones et al. (2021) and their space velocities with respect to the LSR.

Table 10

Marking of stars to belong to galactic substructures and to different r-process enrichment classes.

All Figures

thumbnail Fig. 1

Comparison between EWs measured in the present study and those reported by Frebel et al. (2013). The EW differences between them are also reported at the bottom along the horizontal line.

In the text
thumbnail Fig. 2

Dependence of Fe I element abundance on Elow and EW.

In the text
thumbnail Fig. 3

Observed (dots) and calculated (solid and dashed lines) spectra in the region of Ho II line for HE 1523-0901. The impact of the Tm, Gd, Er and Ho abundance variation of 0.20 dex and without any Tm, Gd, Er and Ho contributions (dashed line) is shown.

In the text
thumbnail Fig. 4

Observed (dots) and calculated (solid and dashed lines) spectra in the region of Ru I and Ir I lines for HE 1523-0901. The impact of the Ru and Ir abundance variation of 0.20 dex and without any Ru and Ir contributions (dashed line) is shown.

In the text
thumbnail Fig. 5

Observed (asterisks) and calculated (solid and dashed lines) spectra in the region of Th II line for HE 1523-0901. The impact of the Th abundance variation of 0.20 dex and without any Th contribution (dashed line) is shown.

In the text
thumbnail Fig. 6

Toomre diagram of studied stars. The dashed curve corresponds to a total velocity of 180 km s−1 marking the kinematical separation between the thick disc and the halo.

In the text
thumbnail Fig. 7

Abundance distributions of the stars presented in this work for [α/Fe] with respect to [Fe/H] (top panel), and [Mg/Mn] vs. [Al/Fe] (bottom panel).

In the text
thumbnail Fig. 8

Diagram of log 𝑔 vs. Teff from Demarque et al. (2004) and the position of the four stars studied in this work.

In the text
thumbnail Fig. 9

C abundances ([C/H] = −3.44, −3.38, −1.88, and −3.54 for HE 1523-0901, HD 6268, HD 121135, and HD 195636 respectively) are shown with respect to the derived luminosities log10(L/L) (see the text for details). The black line takes into account the effect of to canonical extra mixing for non C-enhanced VMP stars (Denissenkov & Pinsonneault 2008, see their Fig. 2).

In the text
thumbnail Fig. 10

Abundance distribution of [El/Fe] with respect to atomic number for HE 1523−0901 (red empty asterisks), HD 6268 (black full circles), HD 121135 (blue full triangles) and HD 195636 (purple full squares). The Th abundance for HD 6268 is taken from Roederer et al. (2014) (black semicircle).

In the text
thumbnail Fig. 11

Observed abundances of HD 121135 are shown in comparison with the abundance distribution of stars with analogous metallicity (−1.62 ≳ [Fe/H] ≳ −1.12) by Frebel (2010). The rectangle boxes cover the observed values between 25% and 75% of all the data points, for elements with more than 15 observed stars. The median values of the models are also shown in the boxes. The error bars cover 1.5 times the range of the box plot. Any points outside the error bars (outliers) are shown as open circles.

In the text
thumbnail Fig. 12

Abundance distribution up to Zn of HE 1523-0901 (upper panels), HD 6268 (central panels) and HD 195636 (lower panels) are compared to other stars with similar [Fe/H] (within 0.5 dex) by Frebel (2010) and to stellar model predictions for CCSNe of initial mass 15 M and 25 M and metallicity Z = 0.0001, non rotating (left panels) and with initial rotation equal to 300 Km per second (right panels), by Limongi & Chieffi (2018).

In the text
thumbnail Fig. 13

Heavy element abundance distributions of HD 1211135, (upper left) HE 1523-0901 (upper right), HD 6268 (lower left) and HD 195636 (lower right) are compared to the abundance pattern of the r-process star CS22892-052 (Sneden et al. 2003, 2009).

In the text
thumbnail Fig. 14

Production of Sr, Y, Ba and La is shown for nucleosynthesis models of fast-rotating massive stars for different amounts of22Ne consumed by the 22Ne(α,n)25Mg reaction rate (top). The trends of [Sr/Y] (middle) and [Ba/La] (bottom) are shown with the stars observed in this work with current error ranges if available, in comparison with the r-process star CS22892-052 (Sneden et al. 2003, 2009).

In the text
thumbnail Fig. 15

As in Fig. 13, the heavy element abundance distributions of HD 121135 are compared to the abundance pattern of the r-process star CS22892-052, and to the i-process abundances normalized to Zr.

In the text

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