Abstract

We have used optical Integral Field Spectroscopy in order to map the star formation history of the inner kiloparsec of the post-starburst quasar (PSQ) J0330−0532 and to map its gas and stellar kinematics as well as the gas excitation. PSQs are hypothesized to represent a stage in the evolution of galaxies in which the star formation has been recently quenched due to the feedback of the nuclear activity, as suggested by the presence of the post-starburst population at the nucleus. We have found that the old stellar population (age ≥ 2.5 Gyr) dominates the flux at 5100 Å in the inner 0.26 kpc, while both the post-starburst (100 Myr ≤ age <2.5 Gyr) and starburst (age <100 Myr) components dominate the flux in a circumnuclear ring at ≈0.5 kpc from the nucleus. With our spatially resolved study we have not found any post-starburst stellar population in the inner 0.26 kpc. On the other hand, we do see the signature of AGN feedback in this region, which does not reach the circumnuclear ring where the post-starburst population is observed. We thus do not support the quenching scenario for the PSQ J0330−0532. In addition, we have concluded that the strong signature of the post-starburst population in larger aperture spectra (e.g. from Sloan Digital Sky Survey) is partially due to the combination of the young and old age components. Based on the MBH − σstar relationship and the stellar kinematics we have estimated a mass for the supermassive black hole of 1.48 ± 0.66 × 107 M.

1 INTRODUCTION

Post-starburst quasars (PSQs) are broad-lined active galactic nuclei (hereafter AGN) that show clear Balmer jumps and high-order Balmer absorption lines in their spectra, attributed to the contribution of A stars, characteristic of massive post-starburst stellar populations with age of a few hundred Myr. PSQs are hypothesized to represent a stage in the evolution of massive galaxies in which both star formation and nuclear activity have been triggered and are visible simultaneously before one or the other fades. Brotherton et al. (1999) report the particular case of PSQ UN J1025−0040 as the prototype for this class of objects, suggesting that it represents an intermediate stage in the evolution between an Ultra-Luminous Infrared Galaxy (ULIRG) and a quasar. The PSQs seem to represent a critical phase in the secular evolution of galaxies that links the growth of the stellar bulge and that of the SMBH.

There are at least two possibilities to connect the presence of a post-starburst population to the nuclear activity: (1) a flow of gas towards the nucleus first triggers star formation in the circumnuclear region followed by an episode of nuclear activity which is triggered after hundreds of Myr; in the meantime, the star formation may cease due to exhaustion of the gas (Storchi-Bergmann et al. 2001; Davies et al. 2007); (2) the flow of gas towards the nucleus triggers star formation in the circumnuclear region and the nuclear activity, when triggered, quenches the star formation (Granato et al. 2004; Di Matteo, Springel & Hernquist 2005; Hopkins et al. 2006; Cano-Díaz et al. 2012).

Cales et al. (2011) and Cales et al. (2013) recently performed photometric (with the HST/ACS camera) and spectroscopic studies (using integrated spectra obtained with the Keck/KPNO telescope) for a sample of PSQs with z ∼ 0.3, which were selected spectroscopically from the Sloan Digital Sky Survey (SDSS, York et al. 2000). In these studies they show that the PSQ galaxies are a heterogeneous population, where both early-type and spiral galaxies can host AGN nuclei. Furthermore, they show that the PSQ galaxies present morphological characteristics and emission line ratios that suggest the presence of recent star formation together with a dominant post-starburst population. The near-infrared spectra (Wei et al. 2013) also present characteristics of both ULIRGs as QSOs. With the goal of investigating the nature of the connection between the post-starburst stellar population and nuclear activity in PSQs, we began a programme to map the stellar population and the manifestations of nuclear activity in the inner few kpc of a sample of nearby PSQs using Integral Field Spectroscopy (IFS).

In order to distinguish between the two scenarios given above, we have used a sample of PSQs which have the clearest signatures of the post-starburst population and redshifts lower than 0.1, since our goal is to resolve the stellar population on hundred of parsec scales.

In a previous exploratory study (Sanmartim, Storchi-Bergmann & Brotherton 2013, hereafter Paper I) we have mapped the stellar population and the gas kinematics of the PSQ J0210−0903. We have used optical IFS obtained with the Gemini instrument GMOS using its Integral Field Unit (IFU), finding that old stars dominate the luminosity of the spectra at ≈4700 Å in the inner 0.3 kpc (radius), but show also some contribution of post-starburst (intermediate-age) population. Beyond this region (at ≈0.8 kpc) the stellar population is dominated by both post-starburst and starburst population (young ionizing stars). The gas kinematics show a combination of rotation in the plane of the galaxy and outflows, observed with a maximum blueshift of −670 km s−1, resulting in a kinetic power for the outflow of |$\dot{E}_{\rm out} \approx 1.4\hbox{--}5.0 \times 10^{40}\,{\rm erg}\,{\rm s}^{-1} \approx 0.03\hbox{--}0.1\,\mathrm{per\ cent} \times L_{\rm bol}$|⁠. This previous study has supported an evolutionary scenario in which the feeding of gas to the nuclear region has triggered a circumnuclear starburst 100s Myr ago, followed by the triggering of the nuclear activity, producing the observed gas outflow which may have quenched further star formation in the inner 0.3 kpc.

In this paper we present the results obtained from similar IFS observations of the PSQ SDSS J033013.26−053235.90 (hereafter PSQ J0330−0532), which is at a distance of approximately 50 Mpc (from NED,1 for Ho = 73.0 ± 5 km s−1 Mpc−1), allowing the study of the spatial distribution of its stellar population and gas emission characteristics with a spatial resolution of 130 pc. PSQ J0330−0532 is one of the closest PSQs with z < 0.1 in our sample, and its spectrum clearly reveals the presence of high-order absorption lines of the series. The PSQ J0330−0532 is hosted by a spiral galaxy with Hubble type Sb (Graham & Li 2009) and its SDSS Petrosian absolute magnitude is Mi = −22.22 ± 0.05. This target has more of a Seyfert-like luminosity rather than a quasar luminosity and its classification as a ‘post-starburst quasar’ is a generalized name for a broad-lined AGN with an intermediate age stellar population. It has a companion galaxy distant ∼21 kpc to the north and ≈16 kpc to the west, probably on a collision course. Greene & Ho (2006) and Shen et al. (2008) have estimated the supermassive black hole (SMBH) masses of log(MBH) = 7.0 ± 0.1 and log(MBH) = 7.38 ± 0.07, respectively, in solar units.

This paper is organized as follows. In Section 2, we describe the observations and reduction processes. In Section 3, we report our results on the stellar population (Section 3.1), stellar kinematics (Section 3.2), emitting gas flux distribution and excitation (Section 3.3), gas kinematics (Section 3.4) and channel maps for the emitting gas (Section 3.5). In Section 4, we discuss and interpret our results. In Sections 4.4 and 4.6 we present an estimate to the mass of the narrow line-emitting gas and the mass outflow rate, respectively. In Section 5, we present a summary of our results as well as our conclusions.

2 OBSERVATIONS AND DATA REDUCTION

Two-dimensional spectroscopic data of the PSQ J0330−0532 were obtained on 2010 December 14 and 15, using the IFU of the Gemini Multi-Object Spectrograph (GMOS-IFU) at the Gemini South telescope under the Gemini project GS-2010B-Q-24. The observations were obtained in one-slit mode, covering a field of view (FOV) of 3.0 × 5.0 arcsec2. We have used the B600|$\_$|G5307 grating, which results in a spectral range of ∼3950–6350 Å in the rest frame and a wavelength sampling of ∼0.5 Å pixel−1 at an instrumental resolution of 1.6 Å at 5200 Å, corresponding to |$\sigma _{\rm \small {INST}}$| of ≈40 km s−1. The total exposure time was 22 000 s, taken from eight individual exposures of 2750 s each. The mean seeing of the observations was in the range of 0.5–0.6 arcsec during the first night and of 0.3–0.5 arcsec during the last night, corresponding to an average spatial resolution of ∼0.5 arcsec. This corresponds to a spatial resolution of ∼130 pc at the distance of the galaxy.

Data reduction was accomplished using generic Iraf2 tasks and specific ones developed for GMOS data in the Gemini.Gmos package. The basic reduction steps are similar to the ones detailed in Paper I. The final data cube contains 1750 spectra each corresponding to an angular coverage of 0.1 × 0.1 arcsec or 26 × 26 pc2 at the distance of the galaxy. Cosmic rays were cleaned from the data before sky-subtraction with Laplacian cosmic ray identification routine Lacosmic (van Dokkum 2001). The spectra were corrected for reddening due to the interstellar Galactic medium using the Iraf routine Noao.Onedspec.Deredden for the V-band extinction AV = 0.155; its value was calculated using the NED extinction calculator, which uses the Schlegel, Finkbeiner & Davis (1998) Galactic reddening maps.

In the top-left panel of Fig. 1 we present the Gemini-GMOS g-band acquisition image of the PSQ, where the box represents the FOV of the IFU observations. In the top-right panel we present the Hβ flux distribution – after subtraction from the continuum contribution – within the IFU FOV. The set of three circular regions, illustrated by circles in the figure, have radii of 0.2 arcsec, from which we have extracted representative integrated spectra shown in the panels below. Region 1 is centred at the nucleus (defined to be the location of the peak of the continuum), while regions 2 and 4 are centred at 0.7 and 1.9 arcsec (∼190 and 490 pc) from the nucleus. It can be seen that the narrow Hβ emission increases outside the nucleus. In the bottom panel we show the SDSS spectrum of the galaxy for a wider spectral range, corresponding to an aperture of 3 arcsec.

The top left panel shows the GMOS g-band acquisition image of the PSQ J0330−0532 and a box that represents the FOV of the GMOS-IFU observations. The top right panel shows the flux map in Hβ with three regions from which the spectra shown bellow were integrated. Regions 1, 2 and 3 have an aperture diameter of 0.4 arcsec (∼100 pc). The SDSS spectrum of the PSQ J0330−0532 is shown in the bottom panel with the same wavelength range of our IFU spectra.
Figure 1.

The top left panel shows the GMOS g-band acquisition image of the PSQ J0330−0532 and a box that represents the FOV of the GMOS-IFU observations. The top right panel shows the flux map in Hβ with three regions from which the spectra shown bellow were integrated. Regions 1, 2 and 3 have an aperture diameter of 0.4 arcsec (∼100 pc). The SDSS spectrum of the PSQ J0330−0532 is shown in the bottom panel with the same wavelength range of our IFU spectra.

3 RESULTS

3.1 Stellar population

In order to study the stellar population distribution, we performed spectral synthesis using the Starlight code (Cid Fernandes et al. 2004, 2005, 2009), which searches for the linear combination of N* simple stellar populations (SSP), from a user-defined base, that best matches the observed spectrum. Basically, the code fits an observed spectrum Oλ solving the following equation for a model spectrum Mλ (Cid Fernandes et al. 2004):
\begin{equation} M_\lambda ={M_{\lambda }}_{0} \left( {\sum _{j=1}^{N_*} {x_j}{b_{j,\lambda }}} \right) {r_\lambda } \otimes G(\upsilon _*,\sigma _*), \end{equation}
(1)
where Mλ0 is the synthetic flux at the normalization wavelength, |${\boldsymbol x}$| is the population vector, whose components represent the fractional contribution of the each SSP to the total synthetic flux at λ0, |$b_{j,\lambda } \equiv {L_{\lambda }^{SSP}(t_j,Z_j)}/{L_{\lambda _0}^{{SSP}}(t_j,Z_j)}$| is the spectrum of the jth SSP, with age tj and metallicity Zj, normalized at λ0, |$r_\lambda \equiv 10^{-0.4(A_\lambda -A_{\lambda _{0}})}$| is the reddening term, and G*, σ*) is the Gaussian distribution, centred at velocity υ* with dispersion σ*, used to model the line-of-sight stellar motions. The reddening term is modelled by Starlight as due to foreground dust and parametrized by the V-band extinction AV so that all components are equally reddened and to which we have adopted the Galactic extinction law of Cardelli, Clayton & Mathis (1989) with RV = 3.1.
The match between model and observed spectra is carried out minimizing the following equation (Cid Fernandes et al. 2004):
\begin{equation} \chi ^2= {\sum _{\lambda } \left[ (O_\lambda - M_\lambda ) w_\lambda \right]^2}, \end{equation}
(2)
where wλ is the weight spectrum, defined as the inverse of the noise in Oλ, whose emission lines and spurious features are masked out by fixing wλ = 0 at the corresponding λ. The minimum to equation (2) corresponds to the best parameters of the model and the search for them is carried out with a simulated annealing plus the Metropolis scheme. A detailed discussion of the Metropolis scheme applied to the stellar population synthesis can be found in Cid Fernandes et al. (2001).

We constructed the spectral base with the high spectral resolution evolutionary synthesis models by Bruzual & Charlot (2003) (BC03), where the SSPs cover 11 ages, t = 1.0 × 106, 5.0 × 106, 2.5 × 107, 1.0 × 108, 2.9 × 108, 6.4 × 108, 9.1 × 108, 1.4 × 109, 2.5 × 109, 5 × 109 and 1.1 × 1010 yr, assuming solar (Z = 0.02) and super-solar metallicity (Z = 2.5 Z). We have used the SSP spectra constructed from the STELIB library (Le Borgne et al. 2003), Padova-1994 evolutionary tracks and Chabrier (2003) initial mass function (IMF). In order to account for the AGN featureless continuum (FC) a non-stellar component was also included, represented by a power-law function (fixed as Fν ∝ ν−1.5). In accordance to Cid Fernandes et al. (2004) we have binned the contribution of the population in a reduced population vector with only three stellar population components (SPCs) corresponding to three age ranges: young (xY: t < 100 Myr), intermediate (xI: 100 Myr ≤ t < 2.5 Gyr) and old (xO: t ≥ 2.5 Gyr).

The goodness of the fit is measured by the adev parameter, which gives the per cent mean difference between the modelled and observed spectrum. In Fig. 2, we present the adev parameter (left) and the intrinsic extinction in the V passband AV (right). The values of the adev are ≤5 per cent, which we consider a limiting value for good fits. We have used this value to exclude from our stellar population maps (Fig. 3) the pixels for which the corresponding adev is larger than 5 per cent. The extinction reaches the highest values, up to AV = 1.5, in an elongated half ring along the second and third quadrants of the mapped field.

The map of the adev (left), the map of the intrinsic extinction in the V passband AV (middle) and the map of the continuum image in the g band, with overplotted contours (right).
Figure 2.

The map of the adev (left), the map of the intrinsic extinction in the V passband AV (middle) and the map of the continuum image in the g band, with overplotted contours (right).

Spatial distributions of the per cent contribution of the SPCs. At the top panels we show the maps of the population vector in per cent units of the flux at 5100 Å for ages young ($x_{\rm {\rm young}}$), intermediate ($x_{\rm {\rm intermediate}}$) and old ($x_{\rm {\rm old}}$). At the bottom panels we show the per cent mass fraction for each age. The contours in the $x_{\rm {\rm old}}$ map are from the continuum image.
Figure 3.

Spatial distributions of the per cent contribution of the SPCs. At the top panels we show the maps of the population vector in per cent units of the flux at 5100 Å for ages young (⁠|$x_{\rm {\rm young}}$|⁠), intermediate (⁠|$x_{\rm {\rm intermediate}}$|⁠) and old (⁠|$x_{\rm {\rm old}}$|⁠). At the bottom panels we show the per cent mass fraction for each age. The contours in the |$x_{\rm {\rm old}}$| map are from the continuum image.

In Fig. 3, we show the per cent flux contribution at 5100 Å of each SPC (top panels) and the per cent mass fraction (bottom panels). Within the inner ≈1 arcsec (0.26 kpc) the contribution of the old SPC dominates the continuum, representing up to ≈85 per cent of the flux at 5100 Å. The peak contribution is displaced ≈0.4 arcsec to the north of the nucleus. The contribution of the old SPC decreases to ≈35 per cent towards the borders of the field, where the young SPC dominates, contributing with ≈65 per cent of the flux at 5100 Å. In an elongated half ring at the first and fourth quadrants (of the top centre panel) the intermediate age SPC contributes with up to ≈23 per cent of the continuum at 5100 Å. When we consider the mass fraction, the old SPC dominates everywhere with at least ≈90 per cent of the mass. The intermediate-age SPC presents a significant contribution to the mass, reaching up to ≈7 per cent in the half ring, while the young SPCs contribute with no more than ≈1.5 per cent of the total stellar mass.

In Fig. 4, we show the results of the synthesis for the SDSS spectrum and for an IFU integrated spectrum within the SDSS aperture radius (1.5 arcsec). The black solid line at the top of each panel shows the observed spectrum. The red solid line shows the fitted model, while the dotted line shows the masked regions of the spectrum (emission lines or spurious features). In the middle panels we show the residual spectrum, obtained from the difference between the observed and modelled spectrum. In the bottom panels we show each SPC spectrum weighted by its fractional contribution to the flux at 5100 Å (young – blue; intermediate age – green; old – red) and the FC component FC – black). The best fits of SDSS and IFU integrated spectra both present no contribution of the intermediate age SPCs, although the intermediate age population signatures seem to be present in the observed spectra. The old SPC contributes with ≈55 (SDSS) and ≈65 (IFU) per cent, while the FC component plus young SPC contributes with ≈45 and 35 per cent, respectively. The stellar population synthesis for both the SDSS and integrated IFU spectra thus approximately agree, presenting a difference of ≈10 per cent in the contribution of the old SPC and FC plus young SPCs. The adev parameter for both modelled spectra is ≈1.8 per cent, which corresponds to a very good fit. Although the stellar population synthesis method does not provide error estimates for the SPCs contributions, we can use this difference (≈10 per cent) as an error estimate for the SPC contribution. We noted a difference between the SDSS and the integrated IFU spectrum: a broad Hβ component which is present only in the SDSS spectrum. We attribute this difference to a possible variation of the broad line, which seems to have practically disappeared in our spectra, obtained at a later date than that of the SDSS spectrum. Such variation is typical of the broad line region and has been reported in many previous studies, The ‘flat-top’ profile can be a signature that this broad line may originate in the outer parts of an accretion disc (e.g. Storchi-Bergmann et al. 1997; Ho et al. 2000; Strateva et al. 2006, 2008).

Synthesis results for the SDSS spectrum (left) and for the IFU spectrum (right) integrated within an aperture radius of 1.5 arcsec around the nucleus. The black solid line at the top of each panel shows the observed spectrum. The red solid line shows the fitted model, while the dotted line shows the masked regions of the spectrum (emission lines or spurious features). At the middle panels we show the residual spectrum, obtained from the difference between the observed and modelled spectra. At the bottom panels we show the spectra corresponding to each age bin (young – blue; intermediate age – green; old – red) and the FC component Fc – black), both scaled to its per cent contribution to the total continuum light at 5100 Å.
Figure 4.

Synthesis results for the SDSS spectrum (left) and for the IFU spectrum (right) integrated within an aperture radius of 1.5 arcsec around the nucleus. The black solid line at the top of each panel shows the observed spectrum. The red solid line shows the fitted model, while the dotted line shows the masked regions of the spectrum (emission lines or spurious features). At the middle panels we show the residual spectrum, obtained from the difference between the observed and modelled spectra. At the bottom panels we show the spectra corresponding to each age bin (young – blue; intermediate age – green; old – red) and the FC component Fc – black), both scaled to its per cent contribution to the total continuum light at 5100 Å.

3.2 Stellar kinematics

We obtained the stellar line-of-sight velocity distributions (LOSVD) by fitting the absorption features of the spectra, which include, in particular, the triplet of magnesium Mg i b λλ5167, 5173, 5184 Å and the absorption doublet of sodium Na i D λλ5890, 5896 Å using the penalized Pixel-Fitting3 (Ppxf) method of Cappellari & Emsellem (2004). In summary, the Ppxf recovers parametrically the best fit to an observed spectrum by convolving stellar template spectra with a defined LOSVD (⁠|$\mathcal {L}(v)$|⁠), which is represented by a Gauss–Hermite (GH) series that can be written as (van der Marel & Franx 1993):
\begin{equation} \mathcal {L}(v) = \frac{{\rm e}^{-(1/2)y^2}}{\sigma \sqrt{2\pi }} \left[\, 1 + {\sum ^{M}_{m=3}}\,h_m H_m(y) \,\right] \, \end{equation}
(3)
where y = (vV*)/σ*, v = c ln��λ, c is the speed of light, V* is the stellar centroid velocity, σ* is the stellar velocity dispersion, Hm are the Hermite polynomials and hm are the GH moments (Cappellari & Emsellem 2004). The Ppxf routine, constructed in Idl, outputs the stellar kinematics (V* and σ*) and the high-order Gauss–Hermite moments h3 and h4. We have used a library of stellar templates constructed from the SSP models of Bruzual & Charlot (2003).

In Fig. 5, we present the two-dimensional maps of the stellar kinematics resulting from the application of the Ppxf routine. The nucleus is identified by the intersection of the perpendicular dotted lines. In the two leftmost panels we show the centroid velocity and velocity dispersion fields of the stellar kinematics. The systemic velocity Vsys = 3965 ± 5 km s−1 was obtained from the rotation model employed to reproduce the velocity field (see Section 4.5.1) and was subtracted from the centroid velocity field. The vertical black dotted line shows the approximated orientation of the line of the nodes, obtained from the same fit.

Two-dimensional maps of the stellar kinematics obtained from the Ppxf method. In the two leftmost panels we show the centroid velocity and the dispersion velocity maps. In the two rightmost panels, the Gauss–Hermite moments h3 and h4 are shown. The mean uncertainties are 9 km s−1 for the centroid velocities, 7 km s−1 for the dispersion velocities and 0.02 for the Gauss–Hermite moments. The vertical black dotted line shows the orientation of the line of the nodes, obtained from the rotation model.
Figure 5.

Two-dimensional maps of the stellar kinematics obtained from the Ppxf method. In the two leftmost panels we show the centroid velocity and the dispersion velocity maps. In the two rightmost panels, the Gauss–Hermite moments h3 and h4 are shown. The mean uncertainties are 9 km s−1 for the centroid velocities, 7 km s−1 for the dispersion velocities and 0.02 for the Gauss–Hermite moments. The vertical black dotted line shows the orientation of the line of the nodes, obtained from the rotation model.

The velocity field shows a clear rotation pattern, with redshifts to the East and blueshifts to the West. The amplitude of the rotation is ≈70 km s−1and its kinematic centre is located at the same position of the continuum peak, given the uncertainties and spatial resolution. The mean uncertainties in the centroid velocities are of ≈9 km s−1. The velocity dispersion values are in the range 70 to 110 km s−1. A region of low-velocity dispersion (σ* ≈ 80 − 90 km s−1) encircles a nuclear region of higher σ* values (≈110 km s−1), which is displaced from the nucleus 0.5 arcsec to the north-east. The stellar velocity dispersion has a mean uncertainty of ≈7 km s−1within the inner 1 arcsec (radius), increasing up to 15 km s−1 at the borders of the field. Pixels for which the SNR decreases to below 25 were not considered in the fit, since a value ≳25 is required to obtain reliable velocity measurements. In the rightmost panels of Fig. 5, we show the h3 and h4 moments, respectively. The Gauss–Hermite moments measure the deviations of the line profile from a Gaussian. While the h3 quantify the asymmetric deviations, the h4 measures the symmetric deviations. Most h3 and h4 values are in the range −0.04 to +0.04. The lowest values in the h3 moments reach ≈−0.1, while the highest are of ≈+0.1, presenting an irregular distribution in the FOV. The highest values of h4 (≈0.1), on the other hand, seem to be distributed in an elongated half ring to the South–Southeast surrounding the lowest values (≈−0.15) of the h4 at the nucleus and to the Northeast. This distribution of the h4 moments is correlated with the distribution of the velocity dispersion values: the region with the lowest values of σ* has the highest values of the h4 moments, while the region with the highest values of σ* has the lowest values of h4.

3.3 Emitting gas

3.3.1 Emission line fits and error estimates

The kinematics and flux distributions of the emitting gas were obtained by fitting Gaussian curves to the line profiles of [O iii]4 and Hβ. These profiles were measured using an Idl routine that solves for the best solution of parameters of the Gaussian function using the non-linear least-squares Levenberg–Markwardt method (Markwardt 2009). The Idl routine used is similar to that described in Paper I. We have performed the fit to the spectrum of each pixel of the data cube in order to obtain the spatial distribution of the emission-line fluxes, velocity dispersions and centroid velocities.

Error estimates were obtained using Monte Carlo simulations adding to the original spectrum an artificial Gaussian noise normally distributed, whose mean is equal to zero and standard deviation equal to one. We have performed the simulations with 1000 realizations, computing the best-fitting parameters of each realization so that we have the standard deviation of the best model in the end of the simulation. In this way, we have obtained the error estimates for the free parameters of the Gaussian function: the centroid velocity, velocity dispersion and flux of each emission line. The error values in each measured parameter are given together with the description of the corresponding maps in the following sections. The errors for the emission line ratio [O iii] /Hβ were derived from the errors in the [O iii] and Hβ emission lines.

3.3.2 Emission-line flux distributions

In Fig. 6, we present the flux distributions in Hβ (top left panel) and [O iii] λ5007 (top central panel) emission lines, both given in logarithmic scale and erg cm−2 s−1 units. In the top right panel we show the spatial distribution of the emission line ratio [O iii] /Hβ in logarithmic scale. The location of the maximum brightness of the [O iii] flux distribution – and of the highest emission line ratio [O iii] /Hβ – coincides with the position of the nucleus. This position was determined as the centroid of the flux distribution in the continuum, obtained by collapsing the data cube between two continuum wavelengths. We have adopted this position as the galaxy nucleus and its location in the figures is identified by the intersection of perpendicular dotted lines.

Integrated fluxes for Hβ (top left) and [O iii] emission lines (top central panel), given in logarithmic units of erg cm−2 s−1. Top right panel: emission-line ratio [O iii] /Hβ in logarithmic scale. The labels Nuc., CN1, CN2 and CN3 identify the regions from where the line ratios shown in the BPT diagrams were extracted (see Section 4.3). In the bottom panels the corresponding per cent errors, obtained using Monte Carlo simulations, are shown. For both emission lines as well as for the emission line ratios the mean uncertainties are less than 10 per cent for the most part of the mapped field.
Figure 6.

Integrated fluxes for Hβ (top left) and [O iii] emission lines (top central panel), given in logarithmic units of erg cm−2 s−1. Top right panel: emission-line ratio [O iii] /Hβ in logarithmic scale. The labels Nuc., CN1, CN2 and CN3 identify the regions from where the line ratios shown in the BPT diagrams were extracted (see Section 4.3). In the bottom panels the corresponding per cent errors, obtained using Monte Carlo simulations, are shown. For both emission lines as well as for the emission line ratios the mean uncertainties are less than 10 per cent for the most part of the mapped field.

The Hβ map shows a flux distribution in which the highest values are distributed in a partial ring surrounding the nucleus from East through North to West. Assuming that the ring is in the plane of the galaxy, we estimate its radius to be ≈500 pc. To the Southwest of the nucleus, the ring seems to disappear, at a location where the stellar population synthesis has shown the highest values of AV. At about 0.5 arcsec to the East and North of the nucleus there are two compact regions where the Hβ emission is very weak. The errors in the Hβ emission line fluxes are less than ≈6 per cent in the partial ring. Inside the ring, the maximum error in the Hβ flux is ≈25 per cent. Only in a few pixels close to the nucleus the errors reach up to ≈75 per cent. On average, in the other regions of the mapped field the errors in Hβ are less than ≈12 per cent.

The flux distribution of the [O iii] emission line (top central panel of Fig. 6) is more symmetrically distributed around the nucleus, with the flux values decreasing smoothly and almost radially towards the borders of the mapped field. The errors in the [O iii] fluxes increase with distance from the nucleus. Within the inner 0.5 arcsec the errors are less than ≈5 per cent, while between 0.5 and 1.0 arcsec the errors are smaller than ≈10 per cent. Beyond this regions, up to the borders, the errors increase to ≈10–20 per cent. Only at the borders of the mapped field, the errors are between ≈40 and ≈75 per cent.

3.4 Gas kinematics

We have obtained the gas kinematics by using a Gaussian function to fit the Hβ and [O iii] emission lines (Section 3.3.2). Fig. 7 shows the velocity fields obtained from these fits. In the top panels we present the centroid velocity and velocity dispersion maps, while in the bottom panels we show the corresponding error maps. Centroid velocities are shown relative to the systemic velocity of the galaxy (3965 ± 5 km s−1).

Left: centroid velocity maps of [O iii] and Hβ in units of km s−1. Right: velocity dispersion maps. Both have been obtained from the fit of GH series to the emission-line profiles. The mean uncertainties are between ≈6 km s−1 and 15 km s−1 for both the velocity fields and velocity dispersion maps for [O iii] . For Hβ the mean uncertainties are between ≈10 km s−1 and 25 km s−1.
Figure 7.

Left: centroid velocity maps of [O iii] and Hβ in units of km s−1. Right: velocity dispersion maps. Both have been obtained from the fit of GH series to the emission-line profiles. The mean uncertainties are between ≈6 km s−1 and 15 km s−1 for both the velocity fields and velocity dispersion maps for [O iii] . For Hβ the mean uncertainties are between ≈10 km s−1 and 25 km s−1.

The Hβ velocity field (top-left panel) presents a rotation pattern with the line of the nodes oriented approximately along East–West, with positive values to the East and negative values to the West, and a velocity amplitude of ≈130 km s−1. The errors in the velocity values are smaller than 6 per cent over most the FOV. At the two compact regions of weak Hβ emission at ≈0.5 arcsec from the nucleus (see Fig. 6), the errors in the centroid velocity increase to ≈20 per cent. In the half ring of high Hβ emission, the errors are lower than 3 per cent, while at the borders of the FOV the errors are of ≈12 per cent. In the other parts of the FOV the errors are on average less than 6 per cent.

The Hβ velocity dispersion map (second top panel of Fig. 7) shows values in the range 40–60 km s−1, indicating that the random non-circular motions are less important than the rotation motion for the gas. The lowest velocity dispersion values (≈40 km s−1) are observed near the nucleus, while the highest values (≈60 km s−1) are farther away, in the ring of enhanced Hβ emission. The error values and their distribution are similar to those of the centroid velocities.

The [O iii] centroid velocity field (third top panel of Fig. 7) also shows a pattern that suggests rotation, but it is disturbed by non-circular motions. The [O iii] kinematics seems to be a mixture of rotation and outflow evidenced by the excess blueshifts at and around the nucleus when compared with the Hβ velocity field. But the [O iii] rotation amplitude and orientation of the line of nodes are similar to that of Hβ. The average errors in the [O iii] centroid velocities are lower than 17 per cent for most regions. Close to the limits of the mapped field the errors increase to approximately 30 per cent.

The [O iii] velocity dispersion values (top-right panel of Fig. 7) range between 80 and 130 km s−1, with the highest values (which are comparable to the gas rotation amplitude) being observed at a region ≈0.5 arcsec Southeast of the nucleus and extending by ≈1 arcsec in all directions. The error values and their distribution are similar to those observed for the centroid velocity map.

3.5 Channel maps

In order to map the velocity field of the emitting gas throughout the emission line profile – and not only at the central wavelength, as done in the centroid velocity maps, we have obtained channel maps by integrating the flux distribution in different slices of velocity along the [O iii] and Hβ emission-line profiles. We have integrated the flux in each velocity channel after subtraction of the continuum contribution evaluated as the average between the fluxes in the continuum at both sides of the profile.

In Fig. 8, we present the channel maps of the Hβ emission line for eight velocities, integrated in velocity bins of ≈60 km s−1. The systemic velocity has been subtracted from the maps. Its value was obtained from the fit of the rotation model and also independently by inspection of the Hβ velocity channels. Under the assumption that the kinematics in the velocity channels should be dominated by rotation (as observed in the centroid velocity map) we have adopted the value of the systemic velocity as the one for which the blueshifts reach similar values to the redshifts, as this symmetry should be present in a rotation pattern. This value is ≈3960 km s−1. This ‘technique’ for obtaining the centroid velocity is particularly useful in the case that the gas velocity field is disturbed by non-circular motions (e.g. Paper I).

Channel maps of width ≈60 km s−1 – along the emission-line profiles of Hβ. The numbers in the top left corners are the central velocities in km s−1. Fluxes are shown in logarithmic scale and in units of erg cm−2 s−1. Spatial coordinates are in arcseconds. The cross indicates the position of the nucleus (continuum peak).
Figure 8.

Channel maps of width ≈60 km s−1 – along the emission-line profiles of Hβ. The numbers in the top left corners are the central velocities in km s−1. Fluxes are shown in logarithmic scale and in units of erg cm−2 s−1. Spatial coordinates are in arcseconds. The cross indicates the position of the nucleus (continuum peak).

In the channel maps of Fig. 8, the highest negative velocities reach −246 km s−1 to the West of the nucleus, while the highest positive velocities are observed to the East of the nucleus, reaching ≈245 km s−1(although this velocity channel is not shown in Fig. 8). These highest values support an orientation for the kinematic major axis along the vertical axis of our FOV. The velocities along the minor axis are close to zero, in accordance to what is expected for circular motion.

In Fig. 9, we present the channel maps in the [O iii] emission line. For [O iii] we show 12 velocity channels, integrated again in velocity bins of 60 km s−1. The highest negative velocities are observed at the nucleus, within a radius of 0.5 arcsec, and reach −567 km s−1. The highest positive velocities reach only 200 km s−1. The velocity bins between −200 and 200 km s−1 seem to be dominated by circular motion.

Channel maps of width ≈60 km s−1 – along the emission-line profiles of [O iii] . The numbers in the top left corners are the central velocities in km s−1. Fluxes are shown in logarithmic scale and in units of erg cm−2 s−1. Spatial coordinates are in arcseconds. The cross indicates the position of the nucleus (continuum peak).
Figure 9.

Channel maps of width ≈60 km s−1 – along the emission-line profiles of [O iii] . The numbers in the top left corners are the central velocities in km s−1. Fluxes are shown in logarithmic scale and in units of erg cm−2 s−1. Spatial coordinates are in arcseconds. The cross indicates the position of the nucleus (continuum peak).

4 DISCUSSION

4.1 Stellar population

From the results of the stellar population synthesis we obtain the spatial variations of the contributions of each SPCs, finding that, within the inner 0.26 kpc (radius), the old population dominates with up to 85 per cent of the flux at 5100 Å. The young stellar population also contributes to the flux in this central region, while the intermediate age stellar population is only observed in the elongated half ring extending from the East through North to the West of the nucleus. Its location in the plane of the galaxy is co-spatial with the inner border of the North side of the Hβ ring at ≈500 pc from the nucleus.

Beyond the inner 0.26 kpc, the dominant SPC is the young stellar population (with age ≤25 Myr), contributing with at least 85 per cent of the flux at 5100 Å. Ionizing stars are required to be present in this region for consistency with the corresponding emission-line ratio values in the BPT diagram (Section 4.3) which indicate that the gas excitation is characteristic of H ii regions.

A comparison between the SDSS spectrum and the IFU integrated spectrum (Fig. 4) shows that both present features usually attributed to a post-starburst population. However, when the synthesis is performed with the spatial resolution allowed by the IFU data, the result is that there is no intermediate stellar population at the nucleus, only at the circumnuclear ring. We can only conclude that the strong signature of an intermediate age stellar population in the SDSS spectrum is due to the contribution of the intermediate age population at the ring combined with the contribution of both the old and young SPCs at the ring, which is partially included in the SDSS aperture of 3 arcsec.

From the gas kinematics, we also conclude that non-circular motions – in particular, a nuclear outflow – is observed within the inner 0.26 kpc radius, where the old stellar population is dominant and there is no significant intermediate age population contribution. The absence of intermediate age stellar population in this region indicates that there has been no quenching of star formation within the inner 0.26 kpc.

The intermediate age stellar population is observed only in the ring beyond the inner 0.26 kpc. We cannot exclude the possibility that there could have been a more powerful outflow from the AGN in the past that could have extended out to the ring. But in order to argue that such an outflow has quenched the star formation originating the post-starburst population now observed, the history of star formation in the ring should reveal a gap between the ages of the post starburst stellar population and that of the young stellar population observed there. But our synthesis does not show any significant gap in the contribution of the stellar population with ages ranging from 5 Myr to 900 Myr, supporting instead continuous star formation in the ring since 900 Myr ago. This suggests that the post-starburst stellar population in the ring is not due to quenching by the AGN.

4.2 Stellar kinematics

The stellar velocity field presents a rotation pattern (Fig. 5) with the line of nodes running approximately vertically in the figure, showing blueshifts to the West and redshifts to the East. The maximum rotation amplitude is ≈70 km s−1, while the velocity dispersion values reach ≈110 km s−1.

We have estimated the mass of the SMBH in the centre of the PSQ J0330−0532 from the bulge stellar velocity dispersion by using the local MBH–σ* relation of Kormendy & Ho (2013): |${\rm log}( M_{\rm BH}/10^9\;{\rm M}_{\odot })=(-0.501\pm 0.049)+(4.414\pm 0.295)\,{\rm log}(\frac{\sigma _*}{200})$|⁠. We have adopted σ* = 100 ± 7 km s−1 for the velocity dispersion in the region dominated by the old bulge stellar population, obtaining a mass value for the SMBH of log(MBH/M) = 7.17 ± 0.16.

The above mass value can be compared to two previous estimates obtained by Greene & Ho (2006) and Shen et al. (2008), which are, respectively log(MBH/M) = 7.0 ± 0.1 and log(MBH/M) = 7.38 ± 0.07. These latter measurements are based on the SDSS integrated spectrum and the mass–scale relationship of Vestergaard & Peterson (2006), using the full width at half maximum of the broad Hβ and the continuum luminosity at 5100 Å. Our measurement is based on the stellar velocity dispersion value of the galaxy bulge and we thus believe that it is more robust than these previous values. On the other hand, our resulting SMBH mass value is similar to those obtained in these previous studies.

4.3 Gas excitation

In the leftmost panel of Fig. 10, we show the Baldwin, Phillips & Terlevich (1981) diagram [O iii] /Hβ × [N ii] /Hα with the position of PSQ J0330−0532 (shown as a filled blue circle with its error bars) as derived from the line ratios in the SDSS spectrum. The locus in the diagram is just to the right of the limiting region between the loci of Starburst and Seyfert galaxies, drawn as a solid line in the diagram (from Stasińska et al. 2006). The dashed line – limiting line between the Seyfert AGNs and LINERs – is from Cid Fernandes et al. (2010).

Leftmost panel: Baldwin et al. (1981) diagram [O iii] /Hβ × [N ii] /Hα showing the locus of PSQ J0330−0532 (shown as a filled blue circle with its error bars) obtained from the line ratios of the SDSS spectrum. Histograms, from left to right: the first shows the ratios from individual spectra within 3.0 arcsec from the nucleus (the same aperture of the SDSS spectrum). The second shows the ratios for the region labelled as Nuc. The next three show the ratios from the circumnuclear regions CN1, CN2 and CN3 in Fig. 6.
Figure 10.

Leftmost panel: Baldwin et al. (1981) diagram [O iii] /Hβ × [N ii] /Hα showing the locus of PSQ J0330−0532 (shown as a filled blue circle with its error bars) obtained from the line ratios of the SDSS spectrum. Histograms, from left to right: the first shows the ratios from individual spectra within 3.0 arcsec from the nucleus (the same aperture of the SDSS spectrum). The second shows the ratios for the region labelled as Nuc. The next three show the ratios from the circumnuclear regions CN1, CN2 and CN3 in Fig. 6.

Since the SDSS spectrum aperture covers almost the whole FOV of our observations, we have used our data in order to map the emission line ratios within our FOV, not only at the nucleus, but also in the circumnuclear region. But as our IFU spectra do not cover the Hα region, we decided to show the [O iii] /Hβ emission line ratio values as histograms, assuming a fixed [N ii] /Hα equal to that of the SDSS spectrum. We also show these histograms in Fig. 10 for the different regions identified in Fig. 6.

The first histogram, labelled as IFU, shows the ratios for all spectra within 1.5 arcsec from the nucleus (the same aperture of the SDSS spectrum). The second histogram shows the ratios for the spectra located inside the region labelled as Nuc. The other three histograms (labelled CN1, CN2 and CN3) show the emission line ratios from the spectra of three circumnuclear regions located in the 500 pc Hβ ring. The corresponding line ratios are typical of H ii regions, while the line ratios from the nucleus are typical of Seyfert nuclei.

4.4 Mass of emitting gas

We have estimated the total mass of ionized gas within the inner 1.5 arcsec (≈400 pc) radius as:
\begin{equation} M = V \epsilon \,n_{\rm e} m_{\rm p}, \end{equation}
(4)
where ne is the electron density, mp is the proton mass, ϵ is the filling factor and V is the volume of the emitting region.
Following Paper I and Peterson (1997), we have estimated the product Vϵ by:
\begin{equation} V\epsilon = 8.1 \times 10^{59}\frac{L_{41}({\rm H}\beta )}{{n_3}^2}\,\,\,{\rm cm}^{-3}, \end{equation}
(5)
where L41(Hβ) is the Hβ luminosity, in units of 1041 ergs s−1 and n3 is the electron density in units of 103 cm−3. The mass of the emitting region can be obtained by using:
\begin{equation} M\approx 7\times 10^{5}\frac{L_{\rm 41}({\rm H\beta })}{n_3}\,\,\,\mathrm{M}_{\odot }, \end{equation}
(6)
given in units of solar masses.

The Hβ luminosity was calculated from the integrated Hβ flux F(Hβ) of the inner 1.5 arcsec region corrected for the reddening obtained from the SDSS spectrum [C(Hβ) = 1.51 ± 0.12], using the reddening law of Cardelli et al. (1989) adopting the theoretical |$\frac{F({\rm H}\alpha )}{F({\rm H}\beta )}$| ratio of 3.0 (case B recombination of Osterbrock & Ferland (2006)). For the assumed distance of d = 53.5 ± 3.7 Mpc, we obtain L(Hβ) = 4πd2F(Hβ)10C(Hβ) = 2.32 ± 0.53 × 1040 erg s−1.

The electron density n3 was obtained using the [S ii] λ6716/λ6731 ratio of the SDSS spectrum, by solving numerically the equilibrium equation for a five-level atom using the Iraf routine Stsdas.Analysis.Nebular.Temden (De Robertis, Dufour & Hunt 1987; Shaw & Dufour 1994). For an assumed electron temperature of 16 000 K (Peterson 1997), we obtain |$n_{\rm e}=263^{+52}_{-47}$| cm−3. Using the above derived values for L(Hβ) and ne we obtain a mass of ionized gas within the inner 400 pc radius of 6.2 ± 1.4 × 105 M. This value is about 0.1 of that obtained in Paper I and for other Seyfert galaxies (Storchi-Bergmann et al. 2009).

4.5 Gas kinematics

The velocity field of the Hβ emitting gas presented in Fig. 7 shows a rotation pattern with apparently similar rotation axis and kinematic centre to that of the stellar velocity field. However, the velocity amplitude of the gas kinematics reaches ≈130 km s−1, while the amplitude in the stellar velocity reaches only ≈70 km s−1, what can be attributed to the effect of asymmetric drift (Verdoes et al. 2000; Barth et al. 2001). The Hβ channel maps (Fig. 8) confirm the dominance of a rotation pattern in the Hβ kinematics.

In the case of [O iii] , both the centroid velocity field (Fig. 7) and channel maps (Fig. 9) show the presence of a blueshifted component besides rotation. In the centroid velocity field, blueshifts are observed at the nucleus instead of zero velocity (as is the case of the Hβ velocity field). In the channel maps there is [O iii] emission within 0.5 arcsec (130 pc) from the nucleus in many blueshifted channels – from negative velocities as high as −560 km s−1 down to −200 km s−1. For lower velocities, the rotation component dominates. There is no high-velocity nuclear component in redshift.

4.5.1 Rotation model

Since the gas kinematics of the Hβ emitting gas seems to present a clear rotation pattern, we have fitted a rotation model to the Hβ velocity field. This velocity field will also be used to represent the rotation component in the [O iii] velocity field, which clearly shows other kinematic components, and its subtraction will allow us to isolate these non-circular components.

Following Bertola et al. (1991) we have approximated the gas rotation by Keplerian motion in a circular disc in a spherical potential, for which the rotation curve is given by
\begin{equation} v_c(r) = \frac{A\,r}{\left(r^2+c_0^2\right)^{p/2}} , \end{equation}
(7)
where A, c0 and p are the parameters and r is the radius in the plane of the galaxy. As given in Bertola et al. (1991), the observed radial velocity projected at a position (R, Ψ) in the plane of the sky is:
\begin{eqnarray} v_{\rm }(R,\Psi ) &=& v_{\rm sys} \nonumber \\ &&+ \frac{AR\,\cos {(\Psi \!-\!\Psi _0)}\,\sin \theta \,\cos ^p\theta }{\lbrace {R^2\left[\sin ^2(\Psi \!-\!\Psi _0)+\cos ^2\theta \cos ^2(\Psi \!-\!\Psi _0)\right]\!+\! C_0^2 \rbrace }^{p/2}},\nonumber \\ \end{eqnarray}
(8)
where R is the projected distance on the plane of the sky relative to the kinematics centre (X0, Y0), Ψ is the corresponding position angle of R relative to the position angle of the line of the nodes (Ψ0), vsys is the systemic velocity, θ is the inclination of the disc (with θ = 0 for a face-on disc) and |$C_0^2=c_0^2 \cos ^2\theta$|⁠. The model has a total of eight free parameters (vsys, A, c0, p, Ψ0, θ, X0 and Y0), but we have fixed the kinematic centre (X0 and Y0), adopted as the position of the peak flux in the continuum, the position angle of the line of the nodes, adopted as the photometric major axis at PA = 89 (Graham & Li 2009) and the inclination θ = 53 (Graham & Li 2009) of the disc of the galaxy.

The other parameters were determined by fitting the model to the observed Hβ velocity field via a Levenberg–Marquardt least squares fitting algorithm. Initial guesses were given for the free parameters and their errors were estimated directly from the fitting algorithm for an adopted mean uncertainty of 10 km s−1. From the fit we obtain a systemic velocity of vsys = 3965 ± 5 km s−1, and the parameter values A = 663 ± 142, c0 = 0.60 ± 0.05 kpc and p = 1.89 ± 0.13.

In Fig. 11, we show the best-fitting rotation model (left panel) for the Hβ kinematics, the Hβ residual velocity map (central panel) – obtained as the difference between the observed Hβ velocities and the modelled velocities, and the [O iii] residual velocity map (right panel) – also obtained as the difference between the observed [O iii] and the modelled Hβ velocities. Most Hβ residual velocity values are smaller than ≈25 km s−1, which represents about 20 per cent of the velocity amplitude of the rotation model (vmax ≈ 130 km s−1).

Rotation model for the gas kinematics (left panel), the Hβ residual velocity map (central panel) and the [O iii] residual velocity map (right panel). The residual velocity maps were obtained from the subtraction of the model from the observed velocities.
Figure 11.

Rotation model for the gas kinematics (left panel), the Hβ residual velocity map (central panel) and the [O iii] residual velocity map (right panel). The residual velocity maps were obtained from the subtraction of the model from the observed velocities.

In the right panel of Fig. 11, we show the [O iii] residual map. Two regions show significant residuals, one with residual blueshifts and the other with redshifts. Blueshifts are observed from the nucleus up to 170 pc from it towards the Northeast, with velocity values reaching up to ≈−80 km s−1. Redshift are observed at a similar distance to the North-west and reach values of up to ≈40 km s−1.

4.6 Mass outflow rate

As in Paper I, we assume that the outflow in PSQ J0330−0532 has a conical geometry, with the cone axis directed approximately towards us. We thus consider that the outflowing gas is crossing the base of this cone. The radius of this circular base is estimated from the extent of the blueshifted region seen in the channel maps, of about 0.5 arcsec. We have thus measured the ionized gas mass outflow rate at negative velocities through a circular cross-section with radius r = 0.13 kpc (0.5 arcsec) around the nucleus, assuming that the height of the cone h is equal to the diameter of its base.

We have calculated the mass outflow rate using the method described in Cano-Díaz et al. (2012). Assuming the geometry described above and considering an outflow at a distance hkpc (in units of kpc) from the nucleus, the outflow rate in ionized gas can be obtained from:
\begin{equation} \skew4\dot{M}_{\rm out}=164\,\frac{L_{\rm 44}([\rm O\,{\rm{ III}}])\,{\it v}_{\rm 3}}{n_{\rm 3}\,10^{{\rm [O/H]}} h_{\rm kpc}}\, \mathrm{M}_{\odot }\,{\rm yr}^{-1}, \end{equation}
(9)
where L44([O iii]) is the luminosity (in units of 1044 erg s−1) of the [O iii] emission line tracing the outflow, n3 is the electron density (in units of 103 cm−3) and 10[O/H] is the oxygen abundance in solar units, which we have assumed to be one. With these assumptions, we obtain a mass outflow rate of |$\skew4\dot{M}_{\rm out} \approx 0.03\, {\rm M_{\odot }}$| yr−1.
In order to compare the mass outflow rate with the accretion rate necessary to feed the AGN (⁠|$\dot{m}$|⁠), we have used the following equation (Peterson 1997):
\begin{equation} \dot{m}=\frac{L_{\rm bol}}{c^2\,\eta } \approx 1.8 \times 10^{-3} \left( \frac{L_{44}}{\eta }\right) \,\,{\rm M_{\odot }}\,{\rm yr^{-1}} , \end{equation}
(10)
where Lbol is the nuclear bolometric luminosity, c is the light speed and η is the efficiency of conversion of the rest mass energy of the accreted material into radiation power and L44 is bolometric luminosity in units of 1044 erg s−1. As in our previous paper (Paper I) and following Riffel & Storchi-Bergmann (2011a,b), Lbol was approximated by ≈ 100 L(Hα), where L(Hα) is the Hα nuclear luminosity. Using the interstellar extinction coefficient C(Hβ), the intrinsic ratio |$\frac{F({\rm H}\alpha )}{F({\rm H}\alpha )}=3.0$| (Osterbrock & Ferland 2006) and the reddening law of Cardelli et al. (1989), we obtain F(Hα) ≈ 1.51 × 10− 13 erg cm−2 s−1 within 0.3 arcsec of the nucleus. At the distance of ≈53 Mpc, we have L(Hα) ≈ 5.20 × 1040 erg s−1, implying that the corresponding nuclear bolometric luminosity is Lbol ≈ 5.20 × 1042 erg s−1. Assuming an efficiency η ≈ 0.1, for an optically thick and geometrically thin accretion disc (Frank, King & Raine 2002) we derive an accretion rate of |$\dot{m} = 9.3 \times 10^{-4}\,{\rm M_{\odot }}$| yr−1.

Comparing our estimate of mass outflow rate with the accretion rate |$\dot{m}$|⁠, we note that |$\skew4\dot{M}_{\rm out}$| is approximately one order of magnitude higher than |$\dot{m}$|⁠. This implies that the outflowing gas cannot originate from the AGN, but is rather mostly composed of interstellar gas from the surrounding region of the galaxy being pushed away from the central region by a nuclear outflow.

We can additionally estimate the kinetic power of the outflow, considering both the radial and turbulent component of the gas motion, as follows:
\begin{equation} \dot{E}_{\rm out} \approx \frac{\skew4\dot{M}_{\rm out}}{2}(v_{\rm out}^2+\sigma ^2), \end{equation}
(11)
where vout is the velocity of the outflowing gas and σ is the velocity dispersion. From Fig. 7 we have σ ≈ 100 km s−1 and adopting the vout = 221 km s−1 estimated above, we obtain that |$\dot{E}_{\rm out} = 5.6 \times 10^{38}$| erg s−1, which is ≈ 1.1 × 10− 4Lbol.

5 SUMMARY AND CONCLUSIONS

We have used integral field optical spectroscopy (GMOS-IFU) in order to map the stellar population and the kinematics in the central kiloparsec of the post-starburst quasar PSQ J0330−0532 at a spatial resolution of ≈130 pc (0.5 arcsec) and velocity resolution of ≈40 km s−1. This is the first two-dimensional study of the stellar population and both the gas and stellar kinematics of a PSQ. Our main conclusions are as follows.

  • The stellar population is dominated by the old age component (SPC) within the inner 260 pc radius, while in the circumnuclear region (at ≈350 pc from the nucleus) the young SPC (t < 100 Myr) dominates the optical flux. The post-starburst component (100 Myr < t ≤ 2.5G Gyr) is exclusively distributed along a half-ring at ≈500 pc North from the nucleus.

  • Both [O iii] and Hβ emission are extended all over the mapped field. The [O iii] flux distribution is brighter in the nucleus, while the Hβ flux is brighter along an almost complete ring at ≈0.5 kpc from the nucleus.

  • The emission line ratios in the circumnuclear ring are typical of H ii regions, implying that the gas in this region is ionized by young stars, what is supported by the dominant age component at this location (≤25 Myr). In the inner 260 pc the emission line ratios are typical of Seyfert excitation.

  • The mass of ionized gas in the inner 1.5 arcsec radius (400 kpc) is 6.2 ± 1.4 × 105 M.

  • The Hβ gas kinematics was reproduced by a model of rotation in the plane of the galaxy, for which the line of nodes runs approximately along the East–West direction and has a velocity amplitude of ≈130 km s−1;

  • The [O iii] kinematics, besides rotation, also shows an outflow reaching ≈−500 km s−1 within ≈250 pc of the nucleus.

  • We have estimated a mass outflow rate of ≈0.03 M yr−1, that is ≈30 times the AGN mass accretion rate ( ≈ 9.3 × 10− 4 M yr−1). This implies that most of the outflow originates in mass-loading of a nuclear outflow as it moves outwards pushing the interstellar medium of the galaxy in the vicinity of the nucleus.

  • From the stellar velocity dispersion we have estimated a mass for the SMBH of log(MBH) = 7.17 ± 0.16.

Regarding the favoured scenario for the origin of the post-starburst population, our study does not support the quenching scenario, as the post-starburst population is not located close enough to the nucleus, where the outflow is observed. It is instead located in a ring at ≈500 pc from the nucleus, which is out of the reach of the AGN outflow (feedback). Although we cannot exclude the possibility that there could have been a more powerful outflow from the AGN in the past that could have quenched star formation in the ring, the history of star formation supports instead continuous star formation since 900 Myr ago. This suggests that the post-starburst stellar population in the ring is not due to quenching by the AGN. In the more central region, internal to the ring, where we now observe the outflow, the stellar population is old with some contribution from young stars and does not show any signature of star formation quenching as well. In Paper I we found that both scenarios could be at play: quenching due to the AGN feedback close to the nucleus (as we found a post-starburst population within ≈300 pc from the nucleus), co-spatial with the nuclear outflow, and the evolutionary scenario for the ring at ≈800 pc from the nucleus. Our goal now is to extend this kind of analysis to similar objects using IFS in order to verify how common are these scenarios and conclude which is the main mechanism responsible for the presence of a post-starburst population in PSQs and AGNs in general.

Based on observations obtained at the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (United States), the Science and Technology Facilities Council (United Kingdom), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), Ministério da Cicia, Tecnologia e Inovação (Brazil) and Ministerio de Ciencia, Tecnología e Innovación Productiva (Argentina). This research has made use of the NED which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration. The starlight project is supported by the Brazilian agencies CNPq, CAPES and FAPESP, and by the France-Brazil CAPES/Cofecub programme. This work has been partially supported by the Brazilian institution CNPq.

1

The NASA/IPAC Extragalactic Database (NED) is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.

2

iraf is distributed by the National Optical Astronomy Observatories, which is operated by the Association of Universities for Research in Astronomy, Inc. (AURA) under cooperative agreement with the National Science Foundation.

3

www-astro.physics.ox.ac.uk/∼mxc/software/, last accessed June 20, 2014.

4

We denote the [O iii] λ5007 emission line simply by [O iii] .

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