Free Access
Issue
A&A
Volume 615, July 2018
Article Number A72
Number of page(s) 14
Section Extragalactic astronomy
DOI https://doi.org/10.1051/0004-6361/201832604
Published online 17 July 2018

© ESO 2018

1 Introduction

Outflows of gas from active galactic nuclei (AGN) couple the supermassive black holes (SMBHs) to their environment. The observed relations between SMBHs and their host galaxies, such as the M-σ relation (Ferrarese & Merritt 2000), indicate that SMBHs and their host galaxies are likely co-evolved through a feedback mechanism. The AGN outflows may play a key role in this co-evolution as they can significantly impact star formation (e.g. Silk & Rees 1998; King 2010), chemical enrichment of the surrounding intergalactic medium (e.g. Oppenheimer & Davé 2006), and the cooling flows at the core of galaxy clusters (e.g. Ciotti & Ostriker 2001).

Winds of photoionised gas are an essential component of outflows in AGN. These winds, called warm absorbers (WA, hereafter), imprint their absorption lines on the AGN continuum, providing us with important diagnostics. High-resolution UV and X-ray spectroscopy, currently possible by the grating spectrometers of the Hubble Space Telescope (HSC), Chandra, and XMM-Newton, enables us to study these winds in bright AGN. Spectroscopic studies show that AGN winds often consist of multiple ionisation and velocity components (e.g. Crenshaw et al. 1999; Blustin et al. 2005; McKernan et al. 2007). In some cases, windshave extreme column densities that obscure the central X-ray source (e.g. Kaastra et al. 2014; Mehdipour et al. 2017), or are highly ionised with relativistic velocities (e.g. Reeves et al. 2009). There are however significant gaps in our understanding of the AGN winds, in particular with respect to their origin, launching mechanism, and their impact on their environment.

As AGN outflows are ultimately powered and driven by energy released from the accretion process, their properties are expected to be related to the physical conditions of the accretion disk and its associated radiation components. However, the physical factors governing the launch of outflows, and the dependence on the properties of accretion onto SMBHs both remainunclear. It has been suggested that ionised outflows in AGN could be thermally driven winds from the AGN torus (e.g. Krolik & Kriss 2001), or that they originate as radiatively driven (e.g. Proga et al. 2000), or magnetohydrodynamic (e.g. Fukumura et al. 2010) winds from the accretion disk. Determining the physical structure and origin of the outflows, and understanding their role in shaping AGN spectra and variability, are crucial requirements for a general characterisation of the outflows and advancing our knowledge of AGN/galaxy evolution.

Photoionisation modelling is a powerful way to understand the nature and origin of AGN winds. Photoionisation codes, namely Cloudy (Ferland et al. 2017), SPEX (Kaastra et al. 1996), and XSTAR (Kallman & Bautista 2001), enable us to interpret the high-resolution spectra, and thus play a crucial role in our understanding of AGN winds. Photoionisation calculations are strongly dependent on our knowledge of the SED of the central ionising source (see e.g. Chakravorty et al. 2012; Mehdipour et al. 2016). In particular, the extreme ultraviolet (EUV) continuum is a highly significant part of the SED as it strongly influences the ionisation and thermal state of the wind. However, EUV photons are in practice not detectable as they are diminished by Galactic absorption. Therefore, knowledge of the formation of the accretion-powered optical-UV-X-ray continuum components is important for constructing realistic SEDs, and carrying out accurate photoionisation modelling. Robust parameterisation of the wind components through photoionisation modelling and spectroscopy would enable us to map the ionisation, and the dynamical and chemical structure of the wind in AGN. The derived physical properties of the wind, its absorption measure distribution (AMD; Holczer et al. 2007; Behar 2009), and whether its components are thermally stable and in pressure equilibrium or not, would provide important clues for linking the observations to the appropriate theoretical models for formation and driving of AGN winds. Such a characterisation of AGN outflows is required in order to understand their role and impact in galaxy evolution in the universe. The Seyfert-type AGN in the nearby universe, which are sufficiently bright for high-resolution UV and X-ray spectroscopy with the existing observatories, are currently the most suitable laboratories to carry out such detailed investigations into AGN winds.

NGC 7469 is a Seyfert-1 AGN at a redshift of 0.016268 (Springob et al. 2005) with a SMBH mass of about 1 × 107 M (Peterson et al. 2014). The host galaxy of NGC 7469 is classified as a luminous infrared galaxy (LIRG). The nucleus of NGC 7469 is surrounded by a well-known starburst ring, which has been detected in multiple energy bands from radio to optical/UV (e.g. Wilson et al. 1991; Mauder et al. 1994). Previous high-resolution UV and X-ray spectroscopic studies have reported the presence of a nuclear wind in this AGN. The UV studies with FUSE and HST STIS found two distinct absorption components, outflowing with velocities of − 570 and − 1900 km s-1 (Kriss et al. 2003; Scott et al. 2005). The historical high-resolution X-ray studies, using a 40 ks XMM-Newton observation (Blustin et al. 2003) and a 150 ks Chandra HETGS observation (Scott et al. 2005), found multiple absorption components. However, these archival X-ray data were limited to constrain the X-ray properties of the WA. In 2015 we carried out an extensive multi-wavelength campaign on NGC 7469 (Behar et al. 2017), using XMM-Newton, NuSTAR, Swift, Chandra, and HST. The analysis of the stacked 2015 XMM-Newton RGS spectrum is reported in Behar et al. (2017), where various components of the warm absorber/emitter were determined. In addition to spectral lines from the AGN wind, Fe XVII emission lines from a collisionally ionised component were also found, which is likely associated with the starburst activity of NGC 7469. Furthermore, variability in the ionic column density of the warm absorber between the individual 2015 RGS spectra are investigated in Peretz et al. (2018), where lines from individual ions are independently measured. No significant changes in the ionic column densities were found among the 2015 observations.

This paper is the primary publication of our new 2015 Chandra HETGS observations. We determine the SED of NGC 7469 in 2002 and 2015 from optical to hard X-rays using contemporaneous Chandra, HST and Swift observations. These observations and the processing of their data are described in Sect. 2. We take into account the contribution of all non-intrinsic emission and absorption processes in our line of sight towards the central engine of NGC 7469 in Sect. 3 in order to determine the underlying AGN continuum. We then carry out photoionisation modelling and HETGS spectroscopy of the wind in Sect. 4, where we investigate the long-term variability of the AGN wind arising from observed changes in the ionising SED. We then constrain the location of the photoionised components in NGC 7469, study their thermal stability, and investigate their origin and launching mechanism. In Sect. 5 we study the spatial extent of the X-ray emission in NGC 7469 using Chandra HETG zeroth-order data. We discuss all our findings in Sect. 6, and give concluding remarks in Sect. 7.

The spectral analysis and modelling presented here are done using the SPEX package (Kaastra et al. 1996) v3.04.00. The spectra shown in this paper are background subtracted and are displayed in the observed frame. We use C-statistics for spectral fitting and give errors at the1σ confidence level. We adopt a luminosity distance of 70.55 Mpc in our calculations with the cosmological parameters H0 = 70 km s-1 Mpc-1, ΩΛ = 0.70, and Ωm = 0.30. We assume proto-solar abundances of Lodders et al. (2009) in all our computations in this paper.

2 Observations and data reduction

2.1 Chandra HETGS data

All Chandra observations of NGC 7469 have been taken with HETGS (Canizares et al. 2005). The most recent HETGS observation, hereafter referred to as the 2015 observation, spans over the end of December 2015 and the beginning of January 2016. These new data are presented for the first time in this paper. The archival HETGS observation (Scott et al. 2005), hereafter referred to as the 2002 observation, was taken in December 2002 over a period of two days. The logs of the 2002 and 2015 HETGS observations are provided in Table 1. The total exposure times of these observations are 237 ks (2015) and 147 ks (2002). In all the HETGS observations, the ACIS camera was operated in the Timed Exposure (TE) read mode and the FAINT data mode. The data were reduced using the Chandra Interactive Analysis of Observations (CIAO, Fruscione et al. 2006) v4.9 software and Calibration Database (CALDB) v4.7.3. The chandra_repro script of CIAO and its associated tools were used for the reduction of the data and production of the final grating products (PHA2 spectra, RMF and ARF response matrices).

The grating spectra and their associated response files were combined using the CIAO combine_grating_spectra script. The +/- first-order spectra of each grating were combined. In addition to producing a HEG and MEG spectrum for each observation, we also produced stacked HEG and MEG spectra containing all the data. We therefore produced three sets of spectra for our spectral modelling: 2002, 2015, and the stacked 2002 and 2015 spectra. The HETGS spectra from the two epochs display similar absorption features and are consistent with each other, thus allowing us to stack the spectra in order to enhance the signal-to-noise ratio. The baseline model derived from the stacked spectra is then applied to the 2002 and 2015 observations to look for variability. In our spectral modelling, HEG and MEG spectra are fitted simultaneously. The fitted spectral range is 2.5–26 Å for MEG, and 1.55–14.5 Å for HEG. Over these energy bands, the HEG/MEG flux ratio is nearly constant at 0.966 in 2002 and 0.956 in 2015. We take into account this instrumental flux difference between HEG and MEG by re-scaling the normalisation of HEG relative to MEG to in our spectral modelling. The low- and high-energy data outside of these ranges are ignored because of deviations in the HEG/MEG flux ratio caused by the increasing calibration uncertainties of the instruments.

Table 1

Log of NGC 7469 Chandra observations.

2.2 Swift UVOT and HST COS data

In order to determine the SED of NGC 7469, we made use of optical/UV data, taken contemporaneously with the HETGS observations: Swift UVOT (Roming et al. 2005) and HST COS (Green et al. 2012) 2015 data, as well as HST STIS (Woodgate et al. 1998) 2002 data. The Swift UVOT data from Image-mode operations were taken with the six primary photometric filters of V, B, U, UVW1, UVM2 and UVW2. The uvotsource tool was used to perform aperture photometry using a circular aperture diameter of 10′′. The standard instrumental corrections and calibrations according to Poole et al. (2008) were applied. Any data with bad Swift tracking were discarded. For the purpose of spectral fitting with SPEX, the count rate and the corresponding response matrix file for each filter were created.

The HST COS observations through the Primary Science Aperture were taken with gratings G130M and G160M, covering the far-UV spectral range from 1132 to 1801 Å. In addition to the routine processing of data with the calibration pipelines of STScI, further enhanced calibrations (as described in Kriss et al. 2011) were applied to produce the best-quality COS spectra possible. They include refined flux calibrations that take into account up-to-date adjustments to the time-dependent sensitivity of COS, improved flat-field corrections and wavelength calibration, and an optimal method for combining exposures comprising a single visit. Further details on the spectral analysis of the NGC 7469 COS spectra will be given in Arav et al. (in prep.). In this paper, for the purpose of modelling the UV continuum as part of our broadband continuum modelling, we extracted the HST COS (2015) and STIS (2002, Scott et al. 2005) fluxes from three narrow spectral bandpasses, which are free of emission and absorption lines: 1162–1178, 1478–1498, 1720–1730 Å.

3 Spectral energy distribution determination

The ionisation and thermal equilibrium in a photoionised plasma is strongly dependent on the SED of the ionising source. The 2002 and 2015 UV and X-ray fluxes indicate a change in the shape of the SED. As shown in Fig. 1, the UV flux is lower in 2015 than in 2002, but both the soft and hard X-ray fluxes are higher in 2015 than in 2002. Therefore, we determine the SED of NGC 7469 for both the 2002 and 2015 epochs. We describe in the following how the intrinsic continuum and the contaminating non-intrinsic emission and absorption components in our line of sight to NGC 7469 were modelled.

3.1 Primary optical-UV-X-ray continuum of the AGN

The observed primary hard X-ray continuum is modelled with a power-law component (pow) to represent Compton up-scattering of the disk photons in an optically thin, hot corona in NGC 7469 (Petrucci et al. 2004). We apply a high-energy exponential cut-off to the power-law at 170 keV, which is based on the analysis of the 2015 NuSTAR observations (Middei et al. 2018). A low-energy exponential cut-off was also applied to the power-law continuum to prevent exceeding the energy of the seed disk photons. We find that while the power-law flux is higher in 2015 than in 2002, the photon index Γ of the power-law is the same in both epochs (Γ = 1.91 ± 0.01).

In addition to the power-law, the soft X-ray continuum of NGC 7469 shows the presence of a “soft X-ray excess” component (Barr 1986; Blustin et al. 2003), with similar characteristics to those found in the archetypical Seyfert-1 AGN NGC 5548 (Mehdipour et al. 2015). To model the soft excess in NGC 7469, we use the broadband model derived in Mehdipour et al. (2015) for NGC 5548, in which the soft excess is modelled by warm Comptonisation (see e.g. Magdziarz et al. 1998; Mehdipour et al. 2011; Done et al. 2012; Petrucci et al. 2013, 2018). In this explanation of the soft excess, the disk seed photons are up-scattered in an optically thick, warm corona to produce the soft X-ray excess. In this scenario the strength of the soft excess component is correlated to that of the optical/UV emission from the accretion disk. For more details on the theory of soft excess emission from the disk, see Done et al. (2012) and Petrucci et al. (2013, 2018). The comt model in SPEX produces a thermal optical/UV disk component modified by warm Comptonisation, so that its high-energy tail fits the soft X-ray excess. The comt model is also useful for photoionisation modelling, because it determines the strength of the unobservable EUV emission, which strongly influences the ionisation balance of photoionised gas. In recent years, multi-wavelength studies have found warm Comptonisation to be a viable explanation for the soft excess in Seyfert-1 AGN (e.g. most recently in Petrucci et al. 2018; Porquet et al. 2018). We find that the comt model provides a good fit to the optical-UV-X-ray data of NGC 7469 (Fig. 2, top panel). The fitted parameters of the comt model are its normalisation, seed photons temperature Tseed, electron temperatureTe, and optical depth τ of the up-scattering plasma. The best-fit parameters of the power-law component and the warm Comptonisation component (disk + soft X-ray excess) are given in Table 2.

The optical/UV continuum, modelled with comt, has an intrinsic luminosity of 6.3 ±0.3 × 1043 erg s−1 in 2002, and 5.5 ±0.3 × 1043 erg s−1 in 2015 over1000–7000 Å. The luminosity of the soft X-ray excess (0.2–2 keV) follows a similar trend, dropping from 10.0 ± 0.5 × 1042 erg s−1 in 2002 to 8.2 ±0.4 × 1042 erg s−1 in 2015. On the other hand, the luminosity of the X-ray power-law over 0.2–10 keV shows the opposite behaviour by increasing from 3.5 ±0.1 × 1043 erg s−1 in 2002 to 4.7 ±0.1 × 1043 erg s−1 in 2015. Such trends in the variability of the continuum components have been seen in the multiwavelength studies of the soft excess. For example, in the study of Mrk 509 using extensive optical/UV and X-ray monitoring data, Mehdipour et al. (2011) found that the variability of the soft X-ray excess is strongly correlated with that of the optical/UV emission from the disk. On the other hand, the variability of the X-ray power-law component was found to be uncorrelated with those of the soft X-ray excess and the optical/UV emission. This supports the two-component model for the primary X-ray continuum used here.

In addition to the primary X-ray continuum, a reprocessed component produced by X-ray reflection, is also taken into account, which is described in the following.

thumbnail Fig. 1

Comparison of the UV (HST) and X-ray (Chandra) fluxes of NGC 7469 in the 2002 and 2015 epochs. The HST flux at 1170 Å is plotted vs. the HETGS flux over 0.4–2 keV (shown in blue) and 2–10 keV (shown in red). The HST data are from STIS (2002) and COS (2015) observations. The displayed fluxes are the observed fluxes without any modification for reddening or absorption.

3.2 Reflected X-ray continuum

The HETGS (HEG) spectra of NGC 7469 show the clear presence of Fe Kα line emission (Fig. 3). We applied an X-ray reflection component (refl), which reprocesses an incident power-law continuum to produce the Fe Kα line and the Compton hump at hard X-rays. The refl model in SPEX computes the Fe Kα line according to Zycki & Czerny (1994), and the Compton-reflected continuum according to Magdziarz & Zdziarski (1995), as described in Zycki et al. (1999). The photon index Γ of the incident power-law was set to that of the observed primary continuum, which is Γ = 1.91 ± 0.01 for both the2002 and 2015 epochs. The exponential high-energy cut-off of this incident power-law is also set to that of the observed primary power-law component at 170 keV, based on the NuSTAR measurements (Middei et al. 2018). In our modelling we fitted the normalisation of the incident power-law continuum and the reflection scale, s. The ionisation parameter of refl is set to zero to produce a cold reflection component with all abundances kept at their solar values. The refl model was convolved with a Gaussian velocity broadening model to fit the width σv of the Fe Kα line, which is about 2700 ± 800 km s-1 in both epochs. We do not require a relativistic line profile to fit the Fe Kα line (Fig. 3).

Our analysis of the Fe Kα line shows that the line profile is composed of two components: the main broad component (2700 km s-1), fitted with the refl model, and a narrow unresolved core, which we fitted with a delta line model (delt). We fitted the 2002 and 2015 HETGS (HEG) spectra with the same refl and delt model, and allowed the normalisation of the incident power-law continuum for refl to vary between the observations. We find this alone provides a good fit to the data for both epochs (Fig. 3). Our model parameters for the Fe Kα line are provided in Table 2. The 2–10 keV intrinsic flux of the incident power-law is 6.0 ×10−11 erg cm−2 s−1 in 2002 and 5.1 × 10−11 erg cm−2 s−1 in 2015. The derived normalisations of the incident power-law for the 2002 and 2015 observations are within 1σ errors; therefore, X-ray reflection is consistent with being unchanged in both epochs. We note that the associated Compton hump, produced from our HETGS modelling of the Fe Kα line using the refl model, is consistent with that obtained from modelling the 2015 NuSTAR data (Middei et al. 2018). The 10–100 keV flux of the Compton hump according to our model is 1.7 ×10−11 erg cm−2 s−1 in 2002 and 1.4 × 10−11 erg cm−2 s−1 in 2015.

thumbnail Fig. 2

Spectral energy distributions of NGC 7469 from optical to hard X-rays. Top panel: the best-fit continuum model, derived in Sect. 3, fitted to the 2015 Chandra HETGS, HST COS and Swift UVOT data. The displayed data are corrected for the emission and absorption effects described in Sect. 3, required for determining the underlying AGN continuum. The individual components of the continuum model are displayed: a warm Comptonisation component (comt), shown in dashed black line, a power-law (pow) and a reflection (refl) component, shown in dotted black lines. Middle panel: the 2015 AGN continuum model (shown in red), and the individual optical/UV and soft X-ray emission components that were modelled for uncovering the underlying continuum. Bottom panel: comparison of the SED continuum models for the 2002 and 2015 epochs, which were used in our photoionisation modelling. The 1–1000 Ryd luminosity is 1.37 × 1044 erg s−1 in 2002 and 1.42 × 1044 erg s−1 in 2015. The bolometric luminosity is 3.4 × 1044 erg s−1 in 2002 and 3.8 × 1044 erg s−1 in 2015.

thumbnail Fig. 3

Fe Kα line of NGC 7469 and its best-fit model from the Chandra HETGS (HEG) 2002 (upper panel) and 2015 (lower panel) spectra. The applied model is described in Sect. 3.2, with its parameters given in Table 2. The fit residuals are shown in the bottom panel for each observation.

3.3 Galactic interstellar absorption and reddening

The continuum and line absorption by the interstellar medium (ISM) of the Galaxy are included in our modelling of the X-ray spectra by applying the hot model in SPEX. This model calculates the transmission of a plasma in collisional ionisation equilibrium (CIE) at a given temperature, which in the case of cold ISM is set to 0.5 eV. The total Galactic NH column density is fixed to NH = 5.49 × 1020 cm−2, which is the sum of the atomic (Wakker et al. 2011) and molecular (Wakker 2006) NH components of the ISM in our line of sight to NGC 7469.

To correct the optical/UV data (Swift UVOT and HST COS) for Galactic interstellar dust reddening, we applied the ebv model in SPEX. The model incorporates the reddening curve of Cardelli et al. (1989), including the update for near-UV given by O’Donnell (1994). We initially set the colour E(BV) = 0.061 mag (Schlafly & Finkbeiner 2011), and the scalar specifying the ratio of total to selective extinction RVAVE(BV) was fixed to 3.1. In order to take into account additional reddening by the host galaxy of the AGN, we allowed the E(BV) parameter to be fitted in our modelling, which increased slightly to 0.082 ± 0.003 for both epochs.

3.4 Optical/UV emission from the BLR and the NLR

Apart from the optical/UV continuum, the photometric filters of Swift UVOT contain emission from the broad-line region (BLR) and the narrow-line region (NLR) of the AGN. Therefore, in order to correct for this contamination, we applied the emission model derived in Mehdipour et al. (2015) for NGC 5548 as a template model to the optical/UV data of NGC 7469. The model takes into account the Balmer continuum, the Fe II feature, and the emission lines from the BLR and NLR. We freed the normalisation of this component in our modelling of the NGC 7469 UVOT data. The predicted Hβ flux from our fit is 5.9 × 10−13 erg cm−2 s−1 in 2015, while the optical continuum flux level is at 1.4 × 10−14 erg cm−2 s−1 Å−1 over the 5180–5200 Å band. These measurements are consistent with the trend of Hβ flux variability in NGC 7469 as reported by the long-term monitoring study of Shapovalova et al. (2017).

3.5 Emission from the nuclear starburst ring and the galactic bulge in NGC 7469

The nuclear region of NGC 7469 exhibits intense star formation with a dual starburst ring structure surroundingthe nucleus (e.g. Mauder et al. 1994). The inner and outer starburst rings are at about 1–3′′ and 8–10′′ radii from the centre of the AGN. We take into account the contribution of stellar emission from the host galaxy of NGC 7469 in our SED modelling. The circular aperture of UVOT (5′′ radius) takes the inner nuclear starburst ring and part of the galactic bulge in NGC 7469. A HST image of the inner starburst ring is shown in Fig. 4, which we extracted from a 1.2 ks observation taken with the ACS/HRC F330W filter on 20 November 2002.

Bentz et al. (2013) have determined the optical flux of the host galaxy components for a number of AGN (including NGC 7469) using modelling of HST images. The galaxy bulge and the nuclear starburst ring flux were recalculated by M. Bentz for our UVOT aperture size. From modelling of HST images taken with the F547M filter, the optical flux at 5447 Å is determined to be 8.33 × 10−15 erg cm−2 s−1 Å−1 for the galaxy bulge, and 2.97 × 10−15 erg cm−2 s−1 Å−1 for the inner starburst ring (Bentz, priv. comm.). The uncertainty in these flux measurements is about 10%. We then adopted appropriate spectral model templates for these host galaxy components, and normalised them to the above monochromatic flux measurements for NGC 7469. This way the contribution of the host galaxy components to the observed flux in the bandpasses of the UVOT filters is calculated. We incorporated the galaxy bulge and the SB3 starburst template models of Kinney et al. (1996) in our SED modelling. In Fig. 2 (middle panel), the optical/UV spectra of the bulge and the starburst ring in NGC 7469 are displayed. We can see that in the energy range of the UVOT filters, emission from the starburst and the galactic bulge dominate over the AGN continuum. Therefore, proper modelling of these non-intrinsic components, such as that performed here, are important for deriving the shape of the underlying AGN optical/UV continuum.

In Behar et al. (2017) we reported the detection of coronal X-ray emission lines of Fe XVII in the stacked 640 ks RGS spectrum of NGC 7469, at the observed wavelengths of 15.25 Å and 17.38 Å. These lines likely originate from the nuclear starburst. Thus, in our modelling of the HETGS spectra, we included a cie component in SPEX to model the emission from such a CIE plasma. The emission measure (EM), temperature, and outflow velocity of this cie component were set to those found by Behar et al. (2017): EM = 4 × 1063 cm−3, T = 0.35 keV, and vout = −250 km s-1. We refitted these parameters in our modelling of the HETGS data, which we find to remain unchanged within errors. At the temperature of the cie model, the concentration of the Fe ions peaks at Fe XVII. Later in Sect. 5, we analyse the Chandra ACIS/HETG zeroth-order image and spectrum to determine the spatial extent of X-ray emission in NGC 7469. We indeed find a diffuse soft X-ray component at 1.5–12′′ radii from the central source, which our modelling shows to be consistent with the aforementioned CIE component from the nuclear starburst in NGC 7469.

Table 2

Best-fit parameters of our model for the broadband continuum and the Fe Kα line of NGC 7469, obtained from the 2002 and 2015 Chandra HETGS, HST COS and Swift UVOT observations.

thumbnail Fig. 4

Nuclear region of NGC 7469 as observed by HST. The image is obtained from an observation taken with the ACS/HRC F330W filter in 2002, and is displayed with a logarithmic intensity scale. The inner starburst ring is visible at about 1–3′′ from the centre of the AGN. The outer starburst ring (not displayed) is at 8–10′′ from the centre. For reference, the circular aperture of our Swift UVOT observations has a radius of 5′′. We find an extended soft X-ray emission component by Chandra at 1.5–12′′ from the centre (Fig. 11).

4 Modelling of the AGN wind in NGC 7469

4.1 Photoionisation modelling

For photoionisation modelling and spectral fitting, we use the pion model in SPEX, which is a self-consistent model that calculates the thermal/ionisation balance together with the spectrum of a plasma in photoionisation equilibrium (PIE). The pion model uses the SED (Sect. 3) from the continuum model components set in SPEX. During spectral fitting, as the continuum varies, the thermal/ionisation balance and the spectrum of the plasma are recalculated at each stage. This means while using realistic broadband continuum components to fit the data, the photoionisation is calculated accordingly by the pion model. This is useful as the derived shape of the SED can significantly influence the structure and thermal stability of the AGN winds (see e.g. Chakravorty et al. 2012; Mehdipour et al. 2016). For more details about the pion model and its comparison with other photoionisation codes, see Mehdipour et al. (2016). In our computations of the photoionisation equilibrium and the X-ray spectrum, the elemental abundances are fixed to the proto-solar values of Lodders et al. (2009).

4.2 HETGS spectroscopy of the wind

We first obtained a best-fit model to the stacked (2002 + 2015) HETGS spectrum of NGC 7469, and then used this model as a starting point to fit the individual 2002 and 2015 HETGS spectra. The HETGS spectrum of NGC 7469 exhibits a series of clear spectral lines (see Figs. 5 and 7). To properly fit all the absorption lines in the HETGS spectrum from various ionic species we require four pion components with a different ionisation parameter ξ (Tarter et al. 1969; Krolik et al. 1981). This parameter is defined as ξ  ≡ LnH r2, where L is the luminosity of the ionising source over the 1–1000 Ryd band (13.6 eV to 13.6 keV) in erg s−1, nH the hydrogen density in cm−3, and r the distance between the photoionised gas and the ionising source in cm. The lowest ionisation component (Comp. A) according to our modelling produces absorption from the M-shell Fe ions to form a shallow Unresolved Transition Array (UTA; Behar et al. 2001) at about 16–17 Å. At ξ of Comp. A, the ionic density of the Fe ions producing the UTA peaks at Fe XI. Moreover, Comp. A is responsible for producing lines from the Be-like and Li-like Si XI, Mg IX, and Mg X ions, as well as the He-like Ne IX. The next ionisation component (Comp. B) primarily produces lines from the He-like Ne IX and Mg XI ions, as well as the H-like O VIII and Ne X. This component is also responsible for lines of Fe XVII to Fe XIX. The subsequent ionisation component (Comp. C) mainly produces lines from the H-like Ne X, Mg XII, and Si XIV ions, together with lines from Fe XX and Fe XXI. Finally, the highest ionisation component (Comp. D) mostly produces lines from Fe XXI, Fe XXII, and Fe XXIII in the HETGS spectrum. We do not detect line absorption by the more ionised H-like and He-like Fe ions in the Fe-K band (Fig. 3).

The column density NH, ionisation parameter ξ, and outflow velocity vout of each pion component are fitted. The covering fraction of all our absorption components in our modelling is fixed to unity. The velocity profile of Ne X Lyα absorption line shows that it consists of three velocity components (Fig. 5), imprinting line absorption at about − 510, − 1080, and − 1850 km s-1. About 85% of the Ne X column density is present at the lowest velocity, and about 5% at the highest. These velocities are consistent with those seen for the Lyα lines of the H-like Mg XII and Si XIV ions in the HETGS spectrum, and also the velocity components of the O VIII Lyα line detected in the stacked RGS spectrum (Behar et al. 2017). The velocities of the X-ray lines are also consistent with the discrete velocities of narrow absorption troughs seen in the high-resolution UV spectra from STIS (Scott et al. 2005) and COS Arav et al. (in prep.). Comparable wind velocities in UV and X-rays have also been seen in other AGN (e.g. NGC 3783; Scott et al. 2014). This indicates that a single kinematic component of the AGN wind may be associated to multiple ionisation sub-components. One explanation for this is that the kinematic component is a bulk of clumpy gas, which consists of zones with different ionisation states arising from inhomogeneities in density, as well as stratification. Such X-ray and UV absorbing clumps in typical warm-absorber winds (like in NGC 7469) can be explained by photoionised gas being ablated from the torus (see e.g. Balsara & Krolik 1993; Krolik & Kriss 1995, 2001). These clumps may not necessarily be in pressure equilibrium, which in that case are unstable and eventually evaporate. However, they can be replaced by new clumps as they ablate from the torus. So torus wind models can produce density variations with comparable velocities, which would give a range in the observed ionisation parameter of the wind.

In our modelling of the HETGS spectra, we allow Comp. C (which produces most of the aforementioned H-like ions) to have three velocity components. The other components are found to be consistent with each having one outflow velocity. In our modelling we linked the turbulent velocity σv of all the pion absorption components, in order to fit only one σv. This approximation for σv of the components is sufficient for fitting the detected absorption lines by HETGS. The derived σv from our global modelling is about 40–50 km s-1, which is consistent with the measured σv of individual UV absorption troughs, ranging between 35 and 60 km s-1 (Behar et al. 2017).

The model transmission spectrum of the four pion absorption components (Comps. A to D) are displayed in Fig. 6. Apart from the absorption lines, the HETGS spectrum of NGC 7469 shows the presence of narrow emission lines, which we fit using the pion photoionisation model. The pion model in emission has an additional free parameter which is the emission covering factor Ω ∕ 4π. In the HETGS spectrum, the Lyα lines of O VIII, Ne X, and Mg XII indicate emission at zero velocity (see Fig. 5). Moreover, the Ne IX and O VII triplets are also seen through the detection of mostly their forbidden lines. To fit these emission lines we require two pion components (Comps. E and F). The lower-ionisation component (Comp. E) producesthe Ne IX and O VII triplets, while the higher-ionisation component (Comp. F) produces the Lyα emission lines of O VIII, Ne X, and Mg XII. Our best-fit pion model to the stacked HETGS spectrum is shown in Fig. 7. The best-fit model parameters of the absorption components (Comps. A to D) and emission components (Comps. E and F) are given in Table 3. For the emission components, the Emission Measure (EM), defined as ∫ ne nH dV, is calculated from the fitted parameters of the pion model (Table 3).

We finally applied the stacked pion model to fit the individual 2002 and 2015 HETGS spectra to look for long-term changes in the photoionised plasma. We freed NH and ξ of the pion components, as well as the parameters of the broadband continuum, to fit the 2002 and 2015 data. We find changes in the parameters of the absorption components between the two epochs, while the emission components remain unchanged within errors. The derived NH and ξ of the absorption pion components for the 2002 and 2015 observations are shown in Fig. 8 (top panel). The corresponding absorption measure distribution (AMD), defined as d NH∕d (logξ), is shown in the bottom panel of Fig. 8. We have used quadratic Lagrangian interpolation to compute this derivative for the pion components.

thumbnail Fig. 5

Absorption profile of the Ne X Lyα line (12.135 Å) in NGC 7469 as seen in the HETGS (MEG) spectrum. The contribution to absorption from three outflowing components are indicated. An emission component is also present at rest velocity.

thumbnail Fig. 6

Model transmission X-ray spectrum of the four pion absorption components of the AGN wind in NGC 7469, where Comp. A is the lowest ionisation component, and Comp. D the highest. The model is derived from the stacked HETGS spectrum asdescribed in Sect. 4. The parameters of each component are given in Table 3.

thumbnail Fig. 7

Chandra HETGS (MEG) stacked spectrum of NGC 7469 and its best-fit model (Table 3).

Table 3

Best-fit parameters of the pion photoionisation model components fitted to the stacked Chandra HETGS spectrum of NGC 7469 as described in Sect. 4.

4.3 Ionisation and thermal state of the photoionised wind

From our photoionisation and spectral modelling of the AGN wind in NGC 7469 (Sects. 4.1 and 4.2), we find that there are changes in ξ and NH of the wind absorption components between the 2002 and 2015 observations (Fig. 8, top panel). To investigate the origin of these changes, we analyse the ionisation and thermal state of the components, and examine their derived heating and cooling rates. The pion photoionisation model is used for all our calculations here. The SED determines the ionisation/thermal balance and stability of a plasma in photoionisation equilibrium, which can be thermally unstable in certain regions of the ionisation parameter space. This can be investigated by means of producing thermal stability curves (also called S-curves), which is a plot of the electron temperature T as a function of the pressure form of the ionisation parameter, Ξ (Krolik et al. 1981). The dimensionless ionisation parameter Ξ, is defined as Ξ ≡ FnH c kT, where F is the flux of the ionising source in the range 1–1000 Ryd, k is the Boltzmann constant, T is the electron temperature, and nH is the hydrogen density. Figure 9 (top panel) demonstrates the different impact of the 2002 and 2015 SEDs (Fig. 2, bottom panel) on the photoionisation equilibrium, and hence the derived temperature T of the plasma. Theassociated thermal stability curves from the pion calculations for the 2002 and 2015 SEDs are shown in Fig. 9 (bottom panel). The position of the wind absorption components derived in Sect. 4.2 are indicated oneach curve.

At photoionisation equilibrium there is a balance between the total heating and cooling in the plasma. The primary heating processes are heating by photoelectrons, Auger electrons, and Compton scattering. The primary cooling processes are collisional excitation, recombination, Bremsstrahlung, and inverse Compton scattering. In Fig. 10, we show the heating and cooling rates of the photoionised plasma in NGC 7469 as a function of ξ for the 2002 and 2015 SEDs, obtained from the pion calculations. The heating and cooling rates of the derived wind components for the two epochs are also indicated on the curves. The contributions by individual heating and cooling processes are displayed, which enable us to understand how each process acts under the different SEDs, and hence see its impact on the wind components. We discuss these results in Sect. 6.1.

thumbnail Fig. 8

Top panel: column density NH vs. the ionisation parameter ξ of the AGN wind absorption components (Comps. A to D) in NGC 7469, derived for the 2002 (shown in blue) and 2015 (shown in red) Chandra HETGS observations. Bottom panel: the absorption measure distribution (AMD) corresponding to the components.

thumbnail Fig. 9

Thermal stability curves of photoionised gas in NGC 7469, showing the gas electron temperature T plotted as a function of the ionisation parameters ξ (top panel), and the pressure-form of the ionisation parameter Ξ (bottom panel). The curves are calculated for the 2002 and 2015 SEDs (Fig. 2, bottom panel). The thick stripes on each curve indicate the position of the derived wind absorption components (Comps. A to D) from the best-fit model to the 2002 and 2015 HETGS spectra. For identification, Comp. A has the lowest T, and Comp. D the highest.

5 Diffuse soft X-ray emission in NGC 7469

As described in Sect. 3.5, the host galaxy of NGC 7469 exhibits strong starburst activity, which is reported by extensive previous studies from radio to optical/UV energies. Interestingly, there is evidence of X-ray line emission from a CIE plasma in the stacked 640 ks RGS spectrum of NGC 7469 (Behar et al. 2017). This Fe XVII line emission is also marginally detected at 17.38 Å in the first-order HETGS spectrum (Fig. 7). As the Chandra observatory currently has the best X-ray spatial resolution (FWHM ~ 0.4′′), we investigated whether the spatial extent of the X-ray emission from the starburst activity can be detected by Chandra. Since all the Chandra observations of NGC 7469 are taken with the ACIS/HETG gratings, we use the zeroth-order data for this investigation. Here, we obtain the zeroth-order surface brightness radial profile and spectrum of NGC 7469, and compare with the corresponding Chandra simulations for a point source detection.

For our analysis we used the longest Chandra observation (79 ks), which was taken in 2002 (Obs. ID: 2956), and does not suffer from the low-energy ACIS QE contamination. Using the Chandra CIAO tools we extracted the surface brightness profile from three energy bands: 0.2–1 keV, 1–2 keV, and 2–10 keV. We calculated these using a stack of concentric annuli around the central source, from 1 to 40 pixel radii with increments of 1 pixel. The background was extracted from a source-free region on the same chip (ACIS-S3) using a circle of 40 pixel radius. We then simulated the point spread function (PSF) associated to our particular observation using the Chandra Ray Tracer tool (ChaRT v2; Carter et al. 2003). As the Chandra PSF depends on energy, we used the NGC 7469 spectrum at the entrance aperture of HRMA for the ChaRT simulations. All the simulation parameters are matched to the settings of our observation. The ChaRT rays were then projected onto the ACIS detector plane to create an event file using the MARX v5.3.2 tool (Davis et al. 2012). The image and zeroth-order spectra were then extracted from this simulated event file. As our objective is to simulate a particular observation, we include the effects of pileup in our MARX simulations. Figure 11 shows the comparison of the X-ray surface brightness profile of NGC 7469 from the Chandra observation and simulation. Interestingly, there is evidence of extended emission in the 0.2–1 keV band at 3–25 ACIS pixel radii (1.5–12′′) from the central AGN source. The location of the diffuse soft X-ray emission is consistent with the location of the inner and outer starburst rings seen in IR/optical/UV observations (Sect. 3.5). Also, the diffuse soft X-ray emission appears to extend beyond the starburst rings, which may be attributed to a starburst wind.

We then extracted the ACIS/HETG zeroth-order spectrum from our observation and simulation using the specextract script of CIAO. In Fig. 12 we show the ratio of the observed over the simulated spectrum for the 1.5–12′′ region. A diffuse excess emission is indeed evident in soft X-rays. We fitted this excess emission with the cie component reported in Sect. 3.5, derived from the high-resolution spectroscopy of Fe XVII coronal lines. The EM of this component was fitted, while its temperature and velocity were kept fixed to the parameter values described earlier in Sect. 3.5 (T = 0.35 keV and vout = −250 km s-1). We obtain a good fit with EM of 6 ± 3 × 1063 cm−3, which is consistent with the original EM found from RGS (4.0 ± 1.5 × 1063 cm−3; Behar et al. 2017). The flux of the soft X-ray extended emission over 1.5–12′′ is about 5.4 × 10−13 erg cm−2 s−1, which matches the flux of the cie component derived from the first-order spectra. Since the diffuse soft X-ray emission is co-spatial with the nuclear starburst seen at IR/optical/UV energies (e.g. with HST), and both the zeroth-order and first-order spectroscopic modelling results are consistent with the same CIE emission model, we deduce that the diffuse soft X-ray emission originates from the nuclear starburst in NGC 7469. We further discuss these findings in Sect. 6.2.

thumbnail Fig. 10

Heating rate (top panel) and cooling rate (bottom panel) of the photoionised gas in NGC 7469 as a function of the ionisation parameter ξ. The contributions by the main processes to the total rates (shown by solid lines) are individually shown. Heating by Compton scattering (long-dashed lines), photoelectrons (dashed lines), and Auger electrons (dotted lines) are displayed in the top panel. Cooling by inverse Compton scattering (long-dashed lines), Bremsstrahlung (dashed lines), collisional excitation (dotted lines), and recombination (dashed-dotted lines) are displayed in the bottom panel. The curves are calculated for the 2002 and 2015 SEDs (Fig. 2, bottom panel). The thick stripes on each curve indicate the position of the derived wind absorption components (Comps. A to D) from the best-fit model to the 2002 and 2015 HETGS spectra. For identification, Comp. A has the lowest ξ and Comp. D the highest.

thumbnail Fig. 11

X-ray surface brightness profile of NGC 7469 from a Chandra ACIS HETG zeroth-order observation (shown in red) and the corresponding PSF simulation (shown in blue). The results are for Chandra Obs. ID 2956. The profiles are shown for the 0.2–1 keV (top panel), 1–2 keV (middle panel), and 2–10 keV (bottom panel) energy bands. An excess soft X-ray emission (0.2–1 keV) is evident above the PSF in the top panel from 3 to 25 ACIS pixels (1.5–12′′).

thumbnail Fig. 12

Ratio of the observed over simulated Chandra ACIS HETG zeroth-order spectrum of NGC 7469 in the 3–25 ACIS pixels (1.5–12′′). The results are for Chandra Obs. ID 2956.

6 Discussion

6.1 Physical structure of the wind in NGC 7469

From our HETGS modelling in Sect. 4, we determined that the wind in NGC 7469 consists of four photoionisation components (Comps. A to D) in both the 2002 and 2015 epochs. The ionisation parameter ξ of these components appears to change between the 2002 and 2015 epochs (Fig. 8, top panel). The ξ is reduced from 2002 to 2015 by a factor of 0.58 in Comp. A, 0.65 in Comp. B, 0.52 in Comp. C, and 0.90 in Comp. D. These changes in ξ are likely related to the change in the SED shape between the two epochs (Fig. 2, bottom panel), where the X-ray continuum is higher and the UV continuum is lower in 2015 than in 2002. The consequence of the SED change on the individual heating and cooling processes in the photoionised plasma can be seen in Fig. 10, which causes the changes in ξ.

The absorption measure distribution (AMD), defined as d NH∕d (logξ), is a powerful tool to probe the uncertain physical properties of the AGN wind (see e.g. Holczer et al. 2007; Behar 2009; Adhikari et al. 2015). It is shown in Behar (2009) that the slope of the AMD constrains the density radial profile of the wind. This information derived from X-ray and UV spectra is valuable for matching the observations with the theoretical outflow mechanisms. The AMD shape can be explained by absorbing clouds in photoionisation equilibrium (Różańska et al. 2006; Adhikari et al. 2015; Goosmann et al. 2016). However, a gap is often observed in the middle of the AMD, producing a bi-modal distribution (e.g. Behar 2009). This gap has been attributed to thermally unstable gas (Adhikari et al. 2015). In Peretz et al. (2018) we determined the AMD of NGC 7469 from an ion-by-ion fitting approach using the stacked RGS spectrum of our XMM-Newton campaign. The resulting AMD indicates a dip between log ξ of about 1 and 2, which is consistent with that previously found from archival data by Blustin et al. (2007) and Behar (2009). In the present study with HETGS, the AMDs derived for the 2002 and 2015 epochs are shown in Fig. 8 (bottom panel). As with HETGS we are detecting gas with higher ionisations (1.8 ≲ logξ ≲ 3.4), the gap in the AMD at lower ionisations is not apparent. By comparing the AMDs in Fig. 8 (bottom panel), it appears that the 2002 AMD shape drops towards higher ionisations relative to the 2015 AMD. However, the associated uncertainties on these AMD points at high ionisations are too large. Therefore, the slopes of the two AMDs are consistent with each other, and with those of the previous studies.

Since the absorption components in NGC 7469 appear to respond to a change in the SED shape between 2002 and 2015, we can put limits on their distance r from the ionising source, using the recombination timescale trec. The recombination timescale trec of an ion recombining from ionisation state i + 1 to i can be written as (1)

where ne is the electron density, ni+1 and ni are the densities of the ions in state i + 1 and i, respectively, and αi+1 and αi are the recombination rate coefficients (cm3 s−1) from state i + 1 to i, and i to i − 1, respectively. We computed trec for the most relevant and dominant Ne ion in each component, which corresponds to recombination from Ne X to Ne IX for Comps. B to D, and recombination from Ne IX to Ne VIII for Comp. A. Since trec, which is dependent on the gas density, needs to be shorter than the spacing between the 2002 and 2015 epochs, this can be used to put constraints on nH. Hence, from the definition of ξ, the distance can be calculated. Using trec < 13 yr, we derive the location of the absorption components in NGC 7469 to be at r < 80 pc (Comp. A), r < 29 pc (Comp. B), and r < 31 pc (Comps. C and D).

Although there are changes in ξ between the 2002 and 2015 observations, the NH sum of the four absorption components remains effectively unchanged between the two epochs at about 6 to 7 × 1021 cm−2. So while changes in the SED cause a change in the distribution of NH over different ionisations, the total NH is still conserved. This suggests that the same absorbing wind is likely present in our line of sight in both epochs. Also, the wind preserves its geometrical configuration despite changes in the ionising SED. Similarly, we find that for the main ions detected in X-rays, the sum of their ionic column densities over all four components remains in practice unchanged. For example, from our modelling, the total column density of Ne X is 1.9 × 1017 cm−2 in 2002 and 1.5 × 1017 cm−2 in 2015. Also, the total column density of O VIII is 5.0 × 1017 cm−2 in 2002 and 4.0 × 1017 cm−2 in 2015. These are consistent with the RGS results of Peretz et al. (2018), in which the measured ionic column densities (resulting from all components) are found not to significantly vary between the individual XMM-Newton observations of our 2015 campaign.

According to our thermal stability analysis of photoionised gas in NGC 7469 (Fig. 9), two of the four pion components are thermally unstable (Comps. B and D). As explained by Kallman (2010), the existence of thermal instability depends on the validity of the assumption of thermal and ionisation equilibrium. For thermal and ionisation equilibrium to be true, the cooling timescale, tcool, and the recombination timescale, trec, need to be shorter than the dynamical timescale, tdyn, and the sound-crossing timescale, ts. The cooling timescale , where gas pressure Pgas = 3 ntot k T∕2, ntot is total particle number density of the gas, and Λ is the cooling rate coefficient in erg cm3 s−1. Hence, is the total cooling rate of the gas in erg cm−3 s−1 (Fig. 10). From photoionisation modelling, Pgas and Λ are obtained, so tcool can be calculated for a given density. The dynamical timescale tdyn = Δrvout, where Δr is the thickness of the flowing shell (~NHnH) and vout is the outflow velocity of the gas. The sound-crossing timescale ts = Δrcs, where the speed of sound , and ρ is the gas mass density. These timescales, derived for the wind components in NGC 7469, are given in Table 4.

We find that trec < tcool < tdyn < ts for each absorption component in NGC 7469. The trec of our components ranges from 4 to 32 days, while tcool ranges from 0.1 to 3 yr, where n4 represents nH = 104 cm−3. On the other hand, tdyn ranges from 44 to 196 yr, while ts ranges from 290 to 674 yr. Thus, the criteria for thermal and ionisation equilibrium are satisfied for all the components, including the thermally unstable Comps. B and D. Thermally unstable gas would heat or cool to reach the stable regions of the S-curves (Fig. 9, bottom panel). The timescale for this departure depends on tcool, which determines how quickly gas can respond to changes in the environment. Since in both the 2002 and 2015 epochs, Comps. B and D reside on the unstable branches of the S-curves, tcool for these components should be more than 13 yr, otherwise the gas would have departed from its unstable temperature by the time of the 2015 observation. This information can be used to put limits on nH and r. We find tcool > 13 yr corresponds to nH < 405 cm−3 and r > 12 pc for Comp. B, and nH < 2295 cm−3 and r > 2 pc for Comp. D. By combining these r limits from tcool with the ones calculated earlier from trec, we obtain 12 < r < 29 pc (Comp. B) and 2 < r < 31 pc (Comp. D). This suggests that the location of Comp. D, which is the most ionised component of the AMD (Fig. 8), is likely the closest to the central source.

From the IR reverberation study of the AGN torus, Suganuma et al. (2006) find that the inner radius of the torus in NGC 7469 is at 65–87 light days (0.05–0.07 pc). The results of our photoionisation modelling of the wind in NGC 7469, and the location of the components, are consistent with a wind originating from the AGN torus as previously suggested by Scott et al. (2005) and Blustin et al. (2007). Different explanations for the driving mechanism of such a torus wind have been reported in the literature, such as a thermally driven wind from the torus (e.g. Krolik & Kriss 2001). Another viable explanation is that IR radiation from the torus can drive away the wind (e.g. Dorodnitsyn et al. 2008, 2016; Dorodnitsyn & Kallman 2012). Also, the IR radiation pressure on dust grains can boost such winds from the torus (Dorodnitsyn et al. 2011). Furthermore, a combination of radiative and magnetic driving from the torus could be in play (e.g. Keating et al. 2012). Apart from uncertainties in the theoretical modelling of AGN winds, the key parameters of the wind derived from observations (such as the AMD, density, distance, and turbulence) also have large uncertainties associated to them. This makes strong association to one particular model challenging. The upcoming Athena X-ray observatory, with its X-IFU microcalorimeter (Barret et al. 2016), will provide a breakthrough in constraining the uncertain parameters of the wind. In particular it will enable us to accurately probe the high-ionisation regions of the wind, which is currently the most uncertain, and yet potentially important, part of the AGN winds.

Table 4

The recombination trec, cooling tcool, dynamical tdyn, and sound crossing ts timescales for the wind components in NGC 7469.

6.2 Diffuse X-ray emission from the starburst of NGC 7469

The well-known nuclear starburst ring in NGC 7469 has been observed over different energies from radio to optical/UV, such as studies by Díaz-Santos et al. (2007) with HST, Pérez-Torres et al. (2009) with VLA, and Izumi et al. (2015) with ALMA. In Sect. 5 we analysed the ACIS/HETG zeroth-order data of NGC 7469 to determine the spatial extent of the X-ray emission in NGC 7469. We found a diffuse soft X-ray component over 1.5–12′′ from the central AGN source, which is co-spatial with the nuclear starburst in NGC 7469. This diffuse X-ray component is consistent with CIE emission from a plasma with a temperature of 0.2–0.3 keV associated with the star formation activity of NGC 7469.

The luminosity of this diffuse CIE emission enables us to estimate the star formation rate (SFR) in NGC 7469, which can then be compared with SFR estimates from the far infrared (FIR) emission (e.g. Kennicutt 1998). An extensive study of a sample of 29 nearby star-forminggalaxies by Mineo et al. (2012) finds that the apparent luminosity of the diffuse emission in the 0.5–2 keV band () linearly correlates with the star formation rate (SFR) according to SFR (M yr−1). In the case of NGC 7469, we derive erg s−1 following our modelling in Sect. 5. Thus, this implies that the SFR in NGC 7469 is 60 ± 35 M   yr−1.

The FIR (40–400 μm) luminosity of NGC 7469 is obtained by Sanders et al. (2003): LFIR = 2.51 × 1011 L, where the solar bolometric luminosity L = 3.83 × 1033 erg s−1. From the LFIR–SFR relation of Kennicutt (1998), one finds that the SFR in NGC 7469 is about 44 M yr−1. Moreover, Pereira-Santaella et al. (2011) derive the SFR to be about 48 M yr−1 in NGC 7469, based on the Spitzer/MIPS 24 μm luminosity and the SFR relation of Rieke et al. (2009). Therefore, the SFR derived from our diffuse soft X-ray measurements are consistent with those found from LFIR–SFR and –SFR relations.

The diffuse soft X-rays discovered in NGC 7469 are unlikely to be associated to the photoionised X-ray emission in NGC 7469. In Sect. 4.2 we determined two pion photoionised components (Comps. E and F) that fit the observed narrow X-ray emission lines in the HETGS first-order spectrum (e.g. the O VIII and Ne X Lyα lines, and the O VII and Ne IX triplets). The 0.5–2 keV luminosities of these components are 8.9 × 1040 erg s−1 (Comp. E) and 1.6 × 1041 erg s−1 (Comp. F). The total luminosity of these two components is significantly higher than that of the diffuse component (5 × 1040 erg s−1), although the luminosity of Comp. E is comparable to that of the diffuse component. However, photoionised emission in NGC 7469 is most likely localised to the inner regions of the nucleus since the size of the NLR from HST [O III] images is found to be < 180 pc (Müller-Sánchez et al. 2011). This is extremely compact compared to the extent of the diffuse soft X-ray component (0.5–4.2 kpc). The X-ray counterpart of the NLR, likely originating from a region with a comparable size to the NLR or smaller, cannot be properly resolved in X-rays as the 0.4′′ FWHM of Chandra equates to about 140 pc for NGC 7469.

7 Conclusions

In this investigation we determined the SED of NGC 7469 at two epochs (2002 and 2015) by taking into account all non-intrinsic optical-UV-X-ray processes in our line of sight; studied the AGN wind and its long-term variability through photoionisation modelling and Chandra HETGS spectroscopy; and analysed the spatial extent of the X-ray emission in NGC 7469. From the findings of our investigation, we conclude the following:

  • There are long-term changes in the AGN continuum shape of NGC 7469, with the 2015 observation having lower UV flux and higher X-ray flux than the 2002 observation. We find that the broadband continuum of NGC 7469 consists of an optical/UV thermal component from the disk, which is modified by warm Comptonisation to produce the soft X-ray excess. The primary X-ray power-law has a photon index Γ ≈ 1.91 in both epochs, but is brighter in 2015 than in 2002.

  • The Fe Kα line in the HETGS spectrum consists of a broad component (σv ≈ 2700 km s-1) and an unresolved component (σv < 460 km s-1). The flux and parameters of the reflection model for the Fe Kα line are found to be unchanged in both the 2002 and 2015 epochs.

  • The AGN wind in NGC 7469 consists of four photoionised absorption components, with logξ ranging from 1.8 to 3.3. The outflow velocity of these components ranges from − 400 to − 1800 km s-1. The narrow soft X-ray emission lines are modelled with two other photoionisation components. From the long-term changes in the ionisation state of the wind components, we derive limits on their location. For two of the four components, which are found to be thermally unstable in both epochs, we obtain 2 < r < 31 pc and 12 < r < 29 pc using the cooling and recombination timescales. For the other two thermally stable components, we obtain r < 31 pc and r < 80 pc from therecombination timescale. The results of our modelling are consistent with a clumpy, thermally driven torus wind in NGC 7469.

  • The analysis of Chandra ACIS/HETG zeroth-order data reveals that the soft X-ray emission is spatially extended in NGC 7469 at 1.5–12′′ radii from the central AGN source. This diffuse soft X-ray emission is co-spatial with the nuclear starburst seen in the infrared/optical/UV observations. Our spectral modelling of this diffuse X-ray emission shows that it is consistent with emission from a CIE plasma, produced by the strong starburst activity in NGC 7469.

Acknowledgements

This research has made use of data obtained from the Chandra Data Archive, and software provided by the Chandra X-ray Center (CXC). SRON is supported financially by NWO, the Netherlands Organization for Scientific Research. The research at the Technion is supported by the I-CORE program of the Planning and Budgeting Committee (grant number 1937/12). EB received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 655324. BDM acknowledges support by the Polish National Science Center grant Polonez 2016/21/P/ST9/04025. POP acknowledges support from the CNES and French PNHE. We thank M. Bentz for providing us with the host galaxy flux measurement in NGC 7469, and the anonymous referee for the useful comments.

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All Tables

Table 1

Log of NGC 7469 Chandra observations.

Table 2

Best-fit parameters of our model for the broadband continuum and the Fe Kα line of NGC 7469, obtained from the 2002 and 2015 Chandra HETGS, HST COS and Swift UVOT observations.

Table 3

Best-fit parameters of the pion photoionisation model components fitted to the stacked Chandra HETGS spectrum of NGC 7469 as described in Sect. 4.

Table 4

The recombination trec, cooling tcool, dynamical tdyn, and sound crossing ts timescales for the wind components in NGC 7469.

All Figures

thumbnail Fig. 1

Comparison of the UV (HST) and X-ray (Chandra) fluxes of NGC 7469 in the 2002 and 2015 epochs. The HST flux at 1170 Å is plotted vs. the HETGS flux over 0.4–2 keV (shown in blue) and 2–10 keV (shown in red). The HST data are from STIS (2002) and COS (2015) observations. The displayed fluxes are the observed fluxes without any modification for reddening or absorption.

In the text
thumbnail Fig. 2

Spectral energy distributions of NGC 7469 from optical to hard X-rays. Top panel: the best-fit continuum model, derived in Sect. 3, fitted to the 2015 Chandra HETGS, HST COS and Swift UVOT data. The displayed data are corrected for the emission and absorption effects described in Sect. 3, required for determining the underlying AGN continuum. The individual components of the continuum model are displayed: a warm Comptonisation component (comt), shown in dashed black line, a power-law (pow) and a reflection (refl) component, shown in dotted black lines. Middle panel: the 2015 AGN continuum model (shown in red), and the individual optical/UV and soft X-ray emission components that were modelled for uncovering the underlying continuum. Bottom panel: comparison of the SED continuum models for the 2002 and 2015 epochs, which were used in our photoionisation modelling. The 1–1000 Ryd luminosity is 1.37 × 1044 erg s−1 in 2002 and 1.42 × 1044 erg s−1 in 2015. The bolometric luminosity is 3.4 × 1044 erg s−1 in 2002 and 3.8 × 1044 erg s−1 in 2015.

In the text
thumbnail Fig. 3

Fe Kα line of NGC 7469 and its best-fit model from the Chandra HETGS (HEG) 2002 (upper panel) and 2015 (lower panel) spectra. The applied model is described in Sect. 3.2, with its parameters given in Table 2. The fit residuals are shown in the bottom panel for each observation.

In the text
thumbnail Fig. 4

Nuclear region of NGC 7469 as observed by HST. The image is obtained from an observation taken with the ACS/HRC F330W filter in 2002, and is displayed with a logarithmic intensity scale. The inner starburst ring is visible at about 1–3′′ from the centre of the AGN. The outer starburst ring (not displayed) is at 8–10′′ from the centre. For reference, the circular aperture of our Swift UVOT observations has a radius of 5′′. We find an extended soft X-ray emission component by Chandra at 1.5–12′′ from the centre (Fig. 11).

In the text
thumbnail Fig. 5

Absorption profile of the Ne X Lyα line (12.135 Å) in NGC 7469 as seen in the HETGS (MEG) spectrum. The contribution to absorption from three outflowing components are indicated. An emission component is also present at rest velocity.

In the text
thumbnail Fig. 6

Model transmission X-ray spectrum of the four pion absorption components of the AGN wind in NGC 7469, where Comp. A is the lowest ionisation component, and Comp. D the highest. The model is derived from the stacked HETGS spectrum asdescribed in Sect. 4. The parameters of each component are given in Table 3.

In the text
thumbnail Fig. 7

Chandra HETGS (MEG) stacked spectrum of NGC 7469 and its best-fit model (Table 3).

In the text
thumbnail Fig. 8

Top panel: column density NH vs. the ionisation parameter ξ of the AGN wind absorption components (Comps. A to D) in NGC 7469, derived for the 2002 (shown in blue) and 2015 (shown in red) Chandra HETGS observations. Bottom panel: the absorption measure distribution (AMD) corresponding to the components.

In the text
thumbnail Fig. 9

Thermal stability curves of photoionised gas in NGC 7469, showing the gas electron temperature T plotted as a function of the ionisation parameters ξ (top panel), and the pressure-form of the ionisation parameter Ξ (bottom panel). The curves are calculated for the 2002 and 2015 SEDs (Fig. 2, bottom panel). The thick stripes on each curve indicate the position of the derived wind absorption components (Comps. A to D) from the best-fit model to the 2002 and 2015 HETGS spectra. For identification, Comp. A has the lowest T, and Comp. D the highest.

In the text
thumbnail Fig. 10

Heating rate (top panel) and cooling rate (bottom panel) of the photoionised gas in NGC 7469 as a function of the ionisation parameter ξ. The contributions by the main processes to the total rates (shown by solid lines) are individually shown. Heating by Compton scattering (long-dashed lines), photoelectrons (dashed lines), and Auger electrons (dotted lines) are displayed in the top panel. Cooling by inverse Compton scattering (long-dashed lines), Bremsstrahlung (dashed lines), collisional excitation (dotted lines), and recombination (dashed-dotted lines) are displayed in the bottom panel. The curves are calculated for the 2002 and 2015 SEDs (Fig. 2, bottom panel). The thick stripes on each curve indicate the position of the derived wind absorption components (Comps. A to D) from the best-fit model to the 2002 and 2015 HETGS spectra. For identification, Comp. A has the lowest ξ and Comp. D the highest.

In the text
thumbnail Fig. 11

X-ray surface brightness profile of NGC 7469 from a Chandra ACIS HETG zeroth-order observation (shown in red) and the corresponding PSF simulation (shown in blue). The results are for Chandra Obs. ID 2956. The profiles are shown for the 0.2–1 keV (top panel), 1–2 keV (middle panel), and 2–10 keV (bottom panel) energy bands. An excess soft X-ray emission (0.2–1 keV) is evident above the PSF in the top panel from 3 to 25 ACIS pixels (1.5–12′′).

In the text
thumbnail Fig. 12

Ratio of the observed over simulated Chandra ACIS HETG zeroth-order spectrum of NGC 7469 in the 3–25 ACIS pixels (1.5–12′′). The results are for Chandra Obs. ID 2956.

In the text

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