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The Baltimore Oriole's Nest: Cool Winds from the Inner and Outer Parts of a Star-forming Galaxy at z = 1.3

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Published 2022 May 13 © 2022. The Author(s). Published by the American Astronomical Society.
, , Citation Weichen Wang et al 2022 ApJ 930 146 DOI 10.3847/1538-4357/ac6592

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0004-637X/930/2/146

Abstract

Strong galactic winds are ubiquitous at z ≳ 1. However, it is not well-known where inside galaxies these winds are launched from. We study the cool winds (∼104 K) in two spatial regions of a massive galaxy at z = 1.3, which we nickname the "Baltimore Oriole's Nest." The galaxy has a stellar mass of 1010.3±0.3M, is located on the star-forming main sequence, and has a morphology indicative of a recent merger. Gas kinematics indicate a dynamically complex system with velocity gradients ranging from 0 to 60 km s−1. The two regions studied are: a dust-reddened center (Central region), and a blue arc at 7 kpc from the center (Arc region). We measure the Fe ii and Mg ii absorption line profiles from deep Keck/DEIMOS spectra. Blueshifted wings up to 450 km s−1 are found for both regions. The Fe ii column densities of winds are 1014.7±0.2 cm−2 and 1014.6±0.2 cm−2 toward the Central and Arc regions, respectively. Our measurements suggest that the winds are most likely launched from both regions. The winds may be driven by the spatially extended star formation, the surface density of which is around 0.2 M yr−1 · kpc−2 in both regions. The mass outflow rates are estimated to be 4 M yr−1 and 3 M yr−1 for the Central and Arc regions, with uncertainties of one order of magnitude or more. The findings of this work and a few previous studies suggest that the cool galactic winds at z ≳ 1 might be commonly launched from the entire spatial extents of their host galaxies, due to extended galaxy star formation.

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1. Introduction

Star-forming galaxies at z ≳ 1 host strong galactic winds (e.g., Lowenthal et al. 1997; Frye et al. 2002; Adelberger et al. 2003; Shapley et al. 2003; Tremonti & Moustakas 2007; Sato et al. 2009; Weiner et al. 2009; Rubin et al. 2010, 2014; Steidel et al. 2010; Bordoloi et al. 2011, 2014; Coil et al. 2011; Erb et al. 2012; Kornei et al. 2012; Martin et al. 2012; Förster Schreiber et al. 2019). The winds are more ubiquitous at this epoch (e.g., Weiner et al. 2009) than in the local universe (e.g., Veilleux et al. 2005; Chen et al. 2010). They are known to play an important role in galaxy formation by removing gas and metal from galaxies permanently or temporarily and causing inefficient star formation (e.g., Somerville & Davé 2015). For the case of temporary removal, winds will be part of the galaxy-halo fountains that allow the ejected gas to eventually return to galaxies (Veilleux et al. 2005, 2020; Somerville & Davé 2015; Naab & Ostriker 2017; Tumlinson et al. 2017).

Winds are one of the essential ingredients hydrodynamic simulations need to incorporate, in order to produce galaxies that match the observed ones in terms of the stellar mass, size, kinematics, and metallicity (e.g., Governato et al. 2007; Oppenheimer et al. 2010; Brook et al. 2011; Hopkins et al. 2012; Somerville & Davé 2015; Pillepich et al. 2018). In the simulations, winds are assumed to be launched from individual regions of galaxies that reach a given threshold in star formation rate density (e.g., Oppenheimer & Davé 2006; Hopkins et al. 2012; Vogelsberger et al. 2013, 2014; Muratov et al. 2015; Grand et al. 2019; Nelson et al. 2019; Pandya et al. 2021). Galaxies generated by the simulations, in which these assumptions are applied to individual spatial regions, are found to provide matches that are within the ballpark for the galaxies in the real universe, not only in terms of the integrated galaxy properties mentioned above but also in terms of some spatially resolved properties (e.g., Gibson et al. 2013; Belfiore et al. 2019; Rodriguez-Gomez et al. 2019; Übler et al. 2021; Nelson et al. 2021; Simons et al. 2021). Notwithstanding this success, the assumptions about the launching of galactic winds in the simulations need to be directly tested by observations. A first step to perform such a test is to measure whether there are winds launched from individual regions of galaxies using observational data, and (if so) compare the wind properties with the star formation properties of these regions. This needs to be done using deep and spatially resolved observations of galactic winds at a certain cosmic epoch.

Spatially resolved observations of galactic winds are relatively rare at z ≳ 1, the cosmic epoch when winds—and possibly also their impacts on galaxy formation—are ubiquitous. Most previous studies have used integrated spectra, due to limitations in spectral sensitivity and spatial resolution (e.g., Weiner et al. 2009; Rubin et al. 2010, 2014; Kornei et al. 2012). There are only about a dozen resolved studies of galactic winds at z ≳ 1. Most of them focus on the dense and warm ionized phase traced by nebular emission lines. These studies find that the warm ionized winds extend from the galaxy centers to at least 1 Re (2–6 kpc), which indicates that the ionized gas might be launched from an area of several kpc in galaxies (Genzel et al. 2011; Newman et al. 2012a, 2012b; Förster Schreiber et al. 2014, 2019; Davies et al. 2019).

However, galactic winds exist in multiple phases, including the cool neutral phase (around 104 K), the molecular phase (e.g., Veilleux et al. 2005; Wood et al. 2015; Baron et al. 2020; Fluetsch et al. 2019, 2021; Roberts-Borsani 2020), and the ionized phase (e.g., Heckman et al. 2015; Heckman & Thompson 2017). The gas in the neutral and molecular phases would directly fuel star formation if it were not carried away from galaxies as winds. As a result, winds in the two phases are expected to have the most direct impacts on the galaxy star formation (Rupke 2018; Veilleux et al. 2020).

To study the cool phase, rest-frame ultraviolet (UV) lines from ions with ionization potentials close to that of the hydrogen atom are needed. At z ≳ 1, there are no more than a handful of spatially resolved studies using the absorption lines of these ions, including Mg ii, Fe ii, and Si ii. For example, Bordoloi et al. (2016) study a gravitationally lensed galaxy at z = 1.7 and measure winds toward four bright star-forming clumps of the galaxy. They find that the wind column densities are comparable among the four clumps, whereas the wind velocities correlate with the star formation rate densities of the four clumps. Two other studies by James et al. (2018) and Rickards Vaught et al. (2019) measure the line equivalent widths along multiple sightlines toward a galaxy at z = 2.4 and a galaxy at z = 0.7, respectively, and find that the equivalent widths measured from different sightlines are comparable. The galaxy studied by James et al. (2018) is gravitationally lensed, whereas the one examined by Rickards Vaught et al. (2019) is not.

In this paper, we build upon the pioneering UV absorption line works cited above and study where cool winds are launched from in an unlensed star-forming galaxy at z ∼ 1. We choose to study an unlensed galaxy, to get around the systematics of gravitational lensing: for lensed systems, the star formation rates (SFRs) are difficult to measure, because the magnification factors are subject to substantial uncertainties from lensing models, and typically only a few bright clumps of a target galaxy are detected.

The galaxy we study comes from a spectroscopic survey on the Keck telescope (see the following section and Cunningham et al. 2019a, 2019b). It has a stellar mass of 1010.3 M and a typical SFR for its mass, 62 M yr−1, and is therefore on the star-forming main sequence (e.g., Noeske et al. 2007). It is selected because its spectrum is spatially extended and has a high signal-to-noise ratio in the continuum. We measure wind properties, including velocities and column densities, for the inner and outer regions of the galaxy from the Fe ii and Mg ii absorption lines, and infer from which region(s) the winds are launched.

The paper is structured as follows. Section 2 describes the sample selection, and Section 3 summarizes the spectroscopic observations, reductions, and ancillary data. Section 4 discusses the morphology of the galaxy and presents its gas kinematics. Section 5 describes how we co-add spectra. Section 6 describes measurements of the SFRs and SFR densities of individual regions of the galaxy. Section 7 presents the main results of the paper, i.e., measurements of the column densities of winds from inner and outer regions of the galaxy. Section 8 discusses possible reasons for the nondetection of the Fe ii and Mg ii emission lines. Based on the results from Section 7, Section 9 discusses where inside the galaxy winds are launched from. Section 10 discusses the relation between winds and star formation. The mass outflow rates and mass loading factors are estimated in Section 11. In Section 12, we present a comparison between the results of this study and those of other relevant ones, and we discuss the prospect of future similar observational studies with the James Webb Space Telescope (JWST). Conclusions of the paper are given in Section 13. Throughout this paper, the wavelengths of spectral lines are quoted from measurements in the air. Quoted magnitudes are in the AB system. A flat ΛCDM cosmology with ΩM = 0.3, ΩΛ = 0.7, and a Hubble constant of H = 70 km s−1 Mpc−1 is adopted.

2. Selection and Properties of the Baltimore Oriole's Nest Galaxy

The galaxy studied in this work comes from the "Halo Assembly in Lambda-CDM: Observations in 7 Dimensions" survey (HALO7D; PI: R. Guhathakurta; Yesuf et al. 2017; Cunningham et al. 2019a, 2019b; Pharo et al. 2022), which makes use of the multiplex capability of the DEep Imaging Multi-Object Spectrograph (DEIMOS; Faber et al. 2003) on the Keck II Telescope. HALO7D targets include both Milky Way halo stars and distant galaxies. All the HALO7D galaxies are within or close to the deep extragalactic fields observed by the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey CANDELS (PIs: S. Faber and H. Ferguson; Grogin et al. 2011; Koekemoer et al. 2011), which provides multiband imaging data from the Hubble Space Telescope (HST).

We select this galaxy because it has a spectrum with a high signal-to-noise ratio in the continuum (S/N = 7 at around rest-frame 2800 Å) and is spatially extended such that we can measure its wind properties in two spatially distinct regions. It is selected from a subsample of star-forming galaxies in HALO7D. The subsample includes galaxies that have spectra that are spatially extended in the continua, larger than 2'' in diameter, and have absorption lines that trace the cool galactic winds (Fe ii λ λ 2586/2600 Å and Mg ii λ λ 2796/2803 Å). The galaxy we choose has the highest signal-to-noise ratio in the spectral continuum among the subsample. The rest of the subsample will be studied in a forthcoming paper.

The HST RGB image of the galaxy is shown in the upper left of Figure 1, where the following wave bands are used: F160W of the Wide Field Camera 3 (WFC3) for the red channel, Advanced Camera for Surveys (ACS) F850LP for the green channel, and ACS/F606W for the blue channel. We nickname it the Baltimore Oriole's Nest galaxy because it looks similar to a Baltimore Oriole in a nest, which we show in the top right panel of Figure 1. 10 The galaxy's morphology is discussed further in Section 4.

Figure 1. Refer to the following caption and surrounding text.

Figure 1. The Baltimore Oriole's Nest galaxy is a massive star-forming galaxy at z ∼ 1.3 with highly irregular morphology. Upper panels: On the left, the HST RGB image (WFC3/F160W for red, ACS/F850LP for green, and ACS/F606W for blue) shows a red "Central" region and a blue off-center "Arc" that extends from northwest to south. The galaxy image is analogous to a Baltimore Oriole in its nest, as shown on the right (photo credit: John Anes, 2018). Lower panels: This galaxy is blue and star-forming according to its location on the rest-frame U–V vs. V–J diagram, which is marked by a star symbol (left). The U–V vs. V–J diagram is separated into three parts, blue star-forming galaxies, dusty star-forming galaxies, and quiescent galaxies, following Spitler et al. (2014). The galaxy also lies on the star-forming main sequence at 1.0 < z < 1.5 (Whitaker et al. 2014), as indicated by the red star (right). Gray points in these lower panels represent individual galaxies at 1.0 < z < 1.5 from the GOODS-North field of CANDELS survey. The rest-frame colors of galaxies are from Barro et al. (2019). Stellar masses and SFRs are obtained from SED fitting by Pacifici et al. (2012, 2016).

Standard image High-resolution image

The Baltimore Oriole's Nest galaxy is a blue star-forming galaxy according to its location on the rest-frame U–V versus V–J diagram (Spitler et al. 2014), as shown in the lower left panel of of Figure 1. It is also on the star formation main sequence at z ∼ 1 (Whitaker et al. 2014), as shown in the lower right panel of Figure 1. In these figures, the galaxy is shown as a red star, and the galaxies at 1.0 < z < 1.5 in the GOODS-North field of CANDELS are shown as gray points. The rest-frame colors of the galaxies are inferred by Barro et al. (2019) using the eazy code (Brammer et al. 2008). The integrated stellar masses and SFRs of all the galaxies in the figure are derived from the spectral energy distribution (SED) fitting by Pacifici et al. (2012, 2016).

Finally, no active galactic nucleus (AGN) is found in the galaxy, either according to the X-ray criteria by Xue et al. (2011, 2016) for unobscured AGNs or the infrared color criteria by Donley et al. (2012) for obscured AGNs.

A full list of the properties of the Baltimore Oriole's Nest galaxy can be found in Table 1.

Table 1. Selected Physical Properties of the Baltimore Oriole's Nest Galaxy

PropertyValueUnitReference
CANDELS IDGDN 21734 Barro et al. (2019)
R.A. (J2000)12:37:55.10hh:mm:ssBarro et al. (2019)
decl. (J2000)62:17:17.88dd:mm:ssBarro et al. (2019)
Global properties    
Spectroscopic redshift1.3063 Barro et al. (2019)
HST/ACS F606W magnitude22.8 ± 0.1AB magBarro et al. (2019)
Effective radius at rest-frame V-band0.50 ± 0.05 (4.2 ± 0.4)arcsec (kpc)van der Wel et al. (2012)
(observed HST/WFC3 F160W band)   
Axis ratio at rest-frame V-band (b/a)0.93 ± 0.08 van der Wel et al. (2012)
Stellar mass1010.3±0.3 M Pacifici et al. (2012, 2016)
Star formation rate ${62}_{-31}^{+5}$ M yr−1 Pacifici et al. (2012, 2016)
Resolved properties    
Redshift (Central region)1.3060 Appendix C
Redshift (Arc region)1.3063 Appendix C
Star formation rate (Central region) ${18}_{-8}^{+19}$ M yr−1 Section 6
Star formation rate (Arc region) ${13}_{-4}^{+4}$ M yr−1 Section 6
Surface area (Central region)76kpc2 Section 6
Surface area (Arc region)86kpc2 Section 6
Star formation rate density (Central region) ${0.23}_{-0.10}^{+0.26}$ M yr−1 kpc−2 Section 6
Star formation rate density (Arc region) ${0.15}_{-0.04}^{+0.04}$ M yr−1 kpc−2 Section 6

Download table as:  ASCIITypeset image

3. Data and Data Reduction

3.1. Keck/DEIMOS Spectra

Keck/DEIMOS spectra of the Baltimore Oriole's Nest galaxy were taken during two nights in 2016 March. The 600 line mm−1 grating centered at 7200 Å was used along with the GG455 order-blocking filter. The resulting wavelength range of the spectra is 4600 Å–9500 Å. To limit flux losses at shorter wavelengths of the spectra, slit position angles were chosen so that they were no more than 30° away from the parallactic angle for each observing session. As a result, the galaxy was observed with slits at three different position angles: 10°, 30°, and 58°, measured from north to east. All slits are 1'' wide along the dispersion direction, resulting in a spectral resolution of 3.5 Å full width at half maximum (FWHM). The resolution R = λλ is approximately 2100, and the instrumental velocity dispersion is about 70 km s−1 (Wirth et al. 2004).

The seeing varied from 0farcs7 to 1farcs0 (FWHM) in the V band. Only the spectra observed when the seeing was better than 0.86'' are used. The total exposure time for these spectra is 5.85 hr. A total of 18 individual spectra are used and combined in our analysis. Their dates of observation, slit position angles, exposure times, airmasses, and the seeing measured as they were observed are given in Table 2. In addition to the galaxy spectra, flat fields were taken with a quartz lamp, and wavelength-calibration spectra were taken with a blue CdHgZn lamp and a red NeKrArXe lamp.

Table 2. Keck/DEIMOS Observations

Observation DateSlit Position Angle a Exposure TimeMask IDAirmassSeeing b
 degreehour  arcsec
2016 Mar 03100.33GN0b1.360.84
 100.33GN0b1.350.80
 100.30GN0b1.350.83
 100.30GN0b1.360.79
2016 Mar 03300.33GN0a1.470.86
 300.33GN0a1.430.85
 300.33GN0a1.400.86
2016 Mar 04100.33GN0b1.370.78
 100.33GN0b1.360.68
 100.33GN0b1.350.65
 100.33GN0b1.350.67
2016 Mar 04300.33GN0a1.510.75
 300.33GN0a1.390.85
2016 Mar 04580.33GN0c1.950.83
 580.33GN0c1.820.78
 580.33GN0c1.720.78
 580.33GN0c1.640.74
 580.25GN0c1.570.64
Total exposure time: 5.85 hr

Notes.

a The slit position angle is defined relative to north, and it increases from north to east. b Seeing is measured in the observed V band from unsaturated alignment stars on each DEIMOS slit mask. Only exposures with seeing ≤ 0.86'' are used and listed here.

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Spectral reduction is performed using the IDL-based spec2d pipeline (Cooper et al. 2012; Newman et al. 2013). The pipeline models the sky background as a function of wavelength and subtracts it from the galaxy spectra. The reduction yields a 2D spectrum for each exposure performed at a certain slit position angle. Individual 2D spectra obtained at the same slit position angle are then combined to create a stacked 2D spectrum.

After stacking, we noticed an additional background contaminant in the spectra that varies with spatial location along the slit, which is not taken into account by the pipeline. However, this contaminant contributes no more than 10% to the spectral flux density relative to the continuum, which is not substantial enough to impact the shapes of the extracted absorption line profiles. Nonetheless, the contaminant is modeled and subtracted, for which the detailed steps can be found in Appendix A.

3.2. Hubble Optical and Near-IR Images

HST images of the galaxy in multiple wave bands are available from CANDELS. The galaxy is observed in the following bands: ACS F435W, F606W, F775W, F814W, and F850LP (Giavalisco et al. 2004; Riess et al. 2007), and WFC3 F105W, F125W, and F160W (Grogin et al. 2011; Koekemoer et al. 2011). Mosaics for all these wave bands, which are publicly available from the CANDELS data release, 11 are generated using the MosaicDrizzle pipeline (Guo et al. 2013). Integrated photometry of each band is performed by running the Sextractor code (Bertin & Arnouts 1996) on the CANDELS images convolved to the resolution of the F160W band, which is 0.18'' in FWHM. Details about the photometry are described in Barro et al. 2019. The integrated fluxes measured for the galaxy are 2.08 ± 0.08 μJy (F435W), 2.72 ±0.03 μJy (F606W), 4.35 ± 0.08 μJy (F814W), 6.21 ± 0.04 μJy (F850LP), 7.64 ± 0.11 μJy (F105W), 8.62 ± 0.07 μJy (F125W), and 11.49 ± 0.09 μJy (F160W).

4. Size, Morphology, the Central and Arc regions, and Kinematics

The galaxy has an effective radius of 4.2 kpc and an axis ratio of 0.93. These quantities are measured by van der Wel et al. (2012) from the HST/WFC3 F160W band, which corresponds to the rest-frame V-band, using the GALFIT code (Peng et al. 2002).

This galaxy has a highly irregular morphology. As the HST image in Figure 1 shows, it contains a red center, which we refer to as the "Central region," and a blue extended arc, which we refer to as the "Arc region." These regions will be precisely defined in the following section. The Arc region appears to be a tidally distorted structure or a highly disturbed disk, either of which could be caused by a recent merger. Note that the term "arc" is used to refer to a morphological feature, and should not be confused with the arc-like images commonly seen in gravitationally lensed systems, since the galaxy is not lensed.

The galaxy is categorized as an "irregular disk galaxy" according to a Deep Learning–based morphology classification by Huertas-Company et al. (2015, 2016). Specifically, its visual morphology frequency values are firr = 0.70 and fdisk = 0.73 (Huertas-Company et al. 2015), which means that there is a 70% probability that human classifiers would identify the galaxy as "irregular," and a 73% probability that they would identify it as "disky." The irregularity of the Baltimore Oriole's Nest galaxy, as defined by firr, is higher than 80% of the galaxies with similar values of redshift, stellar mass, and SFR.

Gas kinematics are measured at three separate slit position angles from [O ii] emission lines, as shown in Figure 2. The footprints of the three slits on the sky are presented on the upper left, and the [O II] emission lines from the rectified 2D spectra obtained with the three slits are presented in the other three upper panels. We use the rotcurve program described in Weiner et al. (2006), which takes into account the effects of seeing, to fit the emission lines. The rotation velocity and velocity dispersion as a function of radius are measured and presented in the middle and lower panels, respectively. The solid points show the results of Gaussian fits to each row of the 2D spectra. The black lines are the best-fit models to these points, and the red lines are the intrinsic models without the effect of seeing. We quantify the gas kinematics with two parameters, the rotation velocity measured at the flat part of the rotation curve and the intrinsic velocity dispersion, the latter representing the amount of disordered motions (Kassin et al. 2007, 2012; Covington et al. 2010; Stott et al. 2016). The galaxy rotates fastest, 61 ± 4 km s−1, along the position angle at 10°, and slower at the other position angles, 41 ± 3 km s−1 at 30° and 0 ± 4 km s−1 at 58°, where a positive velocity indicates that the Arc region is redshifted with respect to the Central region. The intrinsic velocity dispersions have values around 40 km s−1, which are high compared to local disk galaxies but expected since there are likely a lot of disordered motions in this merger (e.g., the local galaxy NGC 4038 in the Antennae merging systems; Ueda et al. 2012).

Figure 2. Refer to the following caption and surrounding text.

Figure 2. Measurements of gas kinematics for the Baltimore Oriole's Nest Galaxy at three slit position angles are shown. At the upper left is the Hubble image of the galaxy with drawings of the slits used to obtain the spectra. The three black and white images across the top are cutouts of the [O ii] emission line doublet from the rectified 2D spectra, where the wavelength direction is horizontal and the spatial direction is vertical. We measure gas kinematics from the [O ii] lines following Weiner et al. (2006). The plots below show the rotation velocity and velocity dispersion as a function of radius, measured from the 2D spectra. The solid points show the results of Gaussian fits to each row of the spectra. The black lines are the best-fit models to these points, and the red lines are the intrinsic models without the effect of seeing. For the three slit position angles, 10°, 30°, and 58°, the best-fit rotation velocities on the flat part of the rotation curve are 61 ± 4 km s−1, 41 ± 3 km s−1, and 0 ± 4 km s−1, respectively. A positive velocity indicates that the Arc region is redshifted with respect to the Central region. The intrinsic velocity dispersions, which are assumed to be constant across the face of the galaxy for each position angle, are 36 km s−1, 40 km s−1, and 48 km s−1, respectively, with an uncertainty of around 30 km s−1 for each.

Standard image High-resolution image

In summary, an inspection of both the gas kinematics and galaxy morphology leads to the conclusion that the galaxy is a major merger system or a disk severely distorted by a recent merger. Interestingly, if the kinematics had to be interpreted without the aid of a resolved Hubble image, one might mistakenly perceive the galaxy as being an isolated and regularly rotating disk, due to the limited spatial resolution of ground-based kinematics measurements (Simons et al. 2019).

5. Co-adding Spectra for Each Region

Spectra are extracted from the Central and Arc regions demarcated on the HST image of the galaxy in Figure 3. The angular sizes of the regions are the same: 1farcs0 in the dispersion direction, and 0farcs8 in the spatial direction. Their size is comparable to that of the seeing, which is 0farcs86 (FWHM). The two regions overlap by a small amount, no more than 20% of the total area of each region. As tested in Appendix B, the two regions are spatially distinct in our ground-based Keck observations.

Figure 3. Refer to the following caption and surrounding text.

Figure 3. Two spatial regions of the Baltimore Oriole's Nest galaxy are studied in this work, the Central region and the Arc region. Strong Fe ii and Mg ii absorption lines are found for both regions. Left: The Central and Arc regions are shown as red and blue rectangles on the Hubble image. The Central region covers the red core of the galaxy, and the Arc region covers the blue off-center arc. Spectra observed with three slits (white dashed lines) are extracted and co-added for each region. Right: The integrated co-added spectrum and the co-added spectra extracted from the Central and Arc regions are shown from top to bottom. Fe ii and Mg ii absorption lines, indicated by red ticks, are present in both spatial regions. Blue ticks indicate the wavelengths of Fe ii* and Mg ii emission lines. These lines are absent from the two regions. The spectra have been smoothed by a Gaussian with an rms width of 6 DEIMOS pixels, or 1.7 Å in the rest frame. Wavelengths from 3200 Å to 3300 Å are impacted by the strong telluric absorption and are removed from the spectra.

Standard image High-resolution image

In order to extract 1D spectra from these regions, we first spatially align each of the three 2D spectra (for the three position angles) to an HST image. The HST/ACS F606W image is chosen because it has a wavelength range similar to those of these spectra. For each spectrum, alignment is performed by matching the integrated flux profile of the galaxy with the flux profile inferred from the HST image, where the flux is measured where the spectral slits overlap the regions, as shown in Figure 3. The shapes of the flux profiles measured from the spectra and the HST image are remarkably similar. Peaks of the profiles measured from the spectra and the HST image are shifted in space to match each other, in order to spatially align them. Next, from each 2D spectrum that is taken with a certain slit position angle, we extract 1D spectra from the Central and Arc regions. As a demonstration of this process, the top panel of Figure 11 shows where the extraction is made on an example 2D spectrum.

Finally, we combine the 1D spectra of the Central and Arc regions measured for each of the position angles. They are shown as red and blue boxes in Figure 3, respectively. The resulting spectra are shown on the right side of the figure. We fit the [O ii] line profiles in these spectra to measure the systemic redshift of each region. The redshifts are 1.3060 for the Central region and 1.3063 for the Arc region. More details about the fitting can be found in Appendix C.

6. Map of SFR Density from HST Images

We create a map of the SFR density by performing spatially resolved SED fitting of the HST images using the BEAGLE tool (Chevallard & Charlot 2016). To ensure that the mass-to-light ratio is reliably constrained, we bin pixels in the reddest HST wave band, F160W, until they have a signal-to-noise of at least 10. To do this, we adopt the Voronoi binning algorithm of Cappellari & Copin (2003). These bins are then applied to five other HST wave bands: F435W, F606W, F850LP, F105W, and F125W. For each spatial bin, we obtain the fluxes in all bands and perform SED fitting to them. The fitting assumes the initial mass function of Chabrier (2003), a delayed-exponential star formation history, and the dust attenuation law by Charlot & Fall (2000) and Chevallard et al. (2013). More details of our procedure are in de la Vega et al. (in preparation). The inferred SFR density map is shown in Figure 4.

Figure 4. Refer to the following caption and surrounding text.

Figure 4. The SFR density map inferred from the SED fitting by de la Vega et al. (in preparation). The Central and Arc regions are indicated in red and blue, respectively. The two regions have similar SFR densities: ${0.23}_{-0.10}^{+0.26}$ M yr−1 kpc−2 for the Central region and ${0.15}_{-0.04}^{+0.04}$ M yr−1 kpc−2 for the Arc region.

Standard image High-resolution image

Using the regions defined in Section 5 and demarcated in Figures 3 and 4, the SFR density of the Central region is measured to be ${0.23}_{-0.10}^{+0.26}\,{M}_{\odot }\,{\mathrm{yr}}^{-1}{\mathrm{kpc}}^{-2}$, which is slightly higher than that of the Arc region, ${0.15}_{-0.04}^{+0.04}\,{M}_{\odot }\,{\mathrm{yr}}^{-1}{\mathrm{kpc}}^{-2}$. The SFRs are ${18}_{-8}^{+19}\,{M}_{\odot }{\mathrm{yr}}^{-1}$ and ${13}_{-4}^{+4}\,{M}_{\odot }{\mathrm{yr}}^{-1}$, respectively. The star formation in the Central region is more obscured by dust (AV = 1.0) than that in the Arc region (AV = 0.4). The higher dust attenuation of the Central region is expected because of its redder color, as seen in the HST image in Figure 1.

7. Properties of the Cool Outflowing Gas from UV Absorption Lines

In this section, properties of cool outflowing gas (around 104 K), including velocities and column densities, are measured from the Fe ii and Mg ii absorption lines in the Central and Arc regions.

7.1. Visual Inspection of the Absorption Line Profiles

The line profiles of the Fe ii and Mg ii doublets are shown as thin black lines in Figure 5. The spectra have been shifted to the rest frame using the redshifts measured from the [O ii] lines (z = 1.3060 for the Central region and z = 1.3063 for the Arc region), and normalized by the spectral continuum. We also show the smoothed spectra as thick black lines in this figure, which are generated by convolving the original spectra with a Gaussian with a standard deviation of 1.0 Å in the rest frame. Two features of the line profiles can be identified via visual inspection:

  • 1.  
    For both regions, all the absorption line profiles are asymmetric, with wings extending to around450 km s−1. This is indicative of outflowing gas moving away from the galaxy and toward the observer (e.g., Weiner et al. 2009).
  • 2.  
    The absorption lines in each doublet most likely have different depths, which indicates that the doublet may not be fully saturated. The only exception is the Mg ii doublet from the Arc region, for which the lines have nearly identical depths, indicating full saturation.

Figure 5. Refer to the following caption and surrounding text.

Figure 5. The line profiles of the Fe ii and Mg ii doublets are shown as thin black lines for the Central and Arc regions in the left and right columns, respectively. The spectra have been shifted to the rest frame using the redshifts measured from the [O ii] emission lines. These redshifts are taken as zero velocity and are indicated by the vertical lines. Thick lines are smoothed versions of the spectra created by convolving them with a Gaussian with a standard deviation of 1.0 Å in the rest frame. The absorption line profiles of the two regions have similar shapes. For both regions, the absorption line profiles extend to ∼450 km s−1 blueward of zero velocity, which indicates cool gas outflows up to 450 km s−1. The gray shading indicates the velocity range from which the line equivalent widths are measured in Section 7.2, namely [–450, –150] km s−1. The light gray lines represent the spectral flux uncertainties.

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We measure the equivalent widths of the Fe ii and Mg ii absorption lines in the following, in order to quantitatively compare the strengths of the lines.

7.2. Column Densities from Equivalent Widths

To constrain the column densities of Fe ii and Mg ii in the outflowing gas, we look into the equivalent widths of their absorption line doublets. The equivalent widths are measured within a velocity window of [−450, −150] km s−1 relative to the systemic redshifts of each region. We select such a window for two reasons. First, it covers the maximum velocities where the blueshifted line absorptions are seen, as explained in Section 7.1. Second, it is offset from zero velocity by at least two times the ISM velocity dispersion values (around 65 km s−1, as measured from [O ii]; Appendix C) such that the absorption caused by the gas of the interstellar medium (ISM) does not make a substantial contribution to the measured equivalent widths. Figure 6 shows how the column density can be constrained by comparing the equivalent widths of two absorption lines in the same doublet. Generally, a large difference in equivalent widths between the two lines indicates a low column density, and a nearly zero difference indicates a high column density. A detailed explanation of the physics involved is provided in Appendix D (see also Draine 2011).

Figure 6. Refer to the following caption and surrounding text.

Figure 6. The column density of outflowing gas can be constrained by comparing the equivalent widths of absorption lines in a doublet. This is demonstrated using toy models of the Mg ii λ λ 2796/2803 Å doublet. Top panel: In the rest frame, the ISM causes line absorption around zero velocity, and the outflowing gas causes line absorption at negative velocities (moving toward the observer). The ISM component is only shown in this panel for clarity. Middle and bottom panels: The line optical depth determines the differences between the equivalent widths of two lines in the doublet. This is demonstrated by models with different values of τwind, the optical depth at the line center of Mg ii 2796 Å, which are indicated in each panel. If τwind is low (left column), then the 2796 Å line is deeper and has a larger equivalent width than the 2803 Å line. As τwind increases (right column), the 2803 Å line becomes stronger, and its profile and equivalent width become more similar to those of the 2796 Å line, due to saturation. This is the case for any value of the gas covering fraction, which we show in the middle row and bottom row.

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The measured equivalent widths are listed in Table 3 and plotted in Figure 7. In the figure, equivalent widths for the two Fe ii doublets and one Mg ii doublet are shown in three plots from left to right. Red and blue crosses indicate measurements and their uncertainties for the Central and Arc regions, respectively. The line with the shorter wavelength in each doublet is assigned to the vertical axis in each plot, and the scale is different on the vertical axes of the three plots. For both regions, lines in the Fe ii doublets have different equivalent widths such that the line with the shorter wavelength has a smaller value. Therefore, the Fe ii column densities in the two regions are not saturated. For Mg ii, the lines in the doublet have the same equivalent widths for the Arc region, indicating saturation. The lines have different values for the Central region, with the line with the shorter wavelength having the higher equivalent width. As per Figure 6, this indicates that the Mg ii column density in the Central region is below a saturation value, whereas the Mg ii column density in the Arc region is saturated.

Figure 7. Refer to the following caption and surrounding text.

Figure 7. The Fe ii and Mg ii column densities of outflowing gas are constrained by comparing the measured line equivalent widths with those calculated from simple models of absorption line profiles. From left to right, the equivalent widths of the Fe ii λ λ 2586/2600 Å, Fe ii λ λ 2374/2382 Å, and Mg ii λ λ 2796/2803 Å doublets are plotted. Red and blue crosses represent the measured equivalent widths for the Central and Arc regions, respectively. The models are shown as solid and dashed lines. Each solid line represents a series of models with the same column density, the value of which is given in the figure, but different velocity dispersions. Each dashed line represents a series of models with the same velocity dispersion but different column densities. The short and long dashed lines represent models with respective velocity dispersions of 50 km s−1 and 250 km s−1. All the models assume that the gas covering fraction is equal to unity. Comparing the models with the observations, we infer Fe ii column densities of 1014.0–1015.0 cm−2 for both regions. Similarly, we infer a Mg ii column density of 1014.0–1014.5 cm−2 for the Central region and ≳1014.5 cm−2 for the Arc region.

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Table 3. Equivalent Widths of the Fe and Mg Lines for the Central and Arc Regions

Spectral line λ f (Å) a EWCentral (Å)EWArc (Å)
Fe ii UV1 2586 Å1780.7 ± 0.30.5 ± 0.2
Fe ii UV1 2600 Å6242.1 ± 0.31.3 ± 0.2
Fe ii UV2 2374 Å73.60.5 ± 0.30.7 ± 0.2
Fe ii UV2 2382 Å7621.4 ± 0.31.3 ± 0.2
Mg ii 2796 Å17102.6 ± 0.31.9 ± 0.2 b
Mg ii 2803 Å8691.6 ± 0.31.9 ± 0.2 b
Mg I 2852 Å5130<1.1 (3-σ)<0.7 (3-σ)

Notes.

a The products of the rest-frame wavelength λ and the oscillator strength f are from Table 2 of Zhu et al. (2015). b The Mg ii doublet lines are fully saturated for the Arc region. Their equivalent widths are identical as a result.

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To provide quantitative constraints on the Fe ii and Mg ii column densities, we also compare in Figure 7 the measured equivalent widths with those from simple analytic models of absorption line profiles. Each model is generated from two input parameters: the integrated column density Nion and the gas velocity dispersion σ. Two steps are made to generate the models. First, the column density at a given line-of-sight velocity, Nv,ion(v), is calculated from the two input parameters by assuming that Nv,ion(v) is a Gaussian function that is centered at −150 km · s−1 and has a standard deviation of σ. Second, Nv,ion(v) is converted into the optical depth, τwind(v), following Spitzer (1978) and Arav et al. (2001):

Equation (1)

where λ is the rest-frame wavelength of the absorption line and f is the quantum oscillator strength. The adopted values of λ f are listed in Table 3. Finally, absorption line profiles are inferred from τwind(v) by assuming that the outflowing gas fully covers the galaxy. The line flux density normalized by the spectral continuum, F(v), is calculated as $F(v)={e}^{-{\tau }_{\mathrm{wind}}(v)}$.

After the model line profiles are constructed, equivalent widths are measured from them in the same velocity window as for the observations. The equivalent widths are plotted as solid and dashed lines in Figure 7. Each solid line represents a series of models with the same column density (the numerical value is indicated in the figure) but different velocity dispersions. There are two dashed lines that represent a series of models with the same velocity dispersion but different column densities. The short dashed lines show models with a velocity dispersion of 50 km s−1, and the long dashed lines show models with 250 km s−1.

The models match observations fairly well in Figure 7. By comparing the observations with the models, we can infer the Fe ii column densities of the two regions to be between 1014.0 and 1015.0 cm−2. The Mg ii column density for the Arc region is inferred to be ≳1014.5 cm−2, and that for the Central region is between 1014.0 and 1014.5 cm−2. Statistical uncertainties for these values are difficult to infer from Figure 7. However, they can be inferred from a more sophisticated method that we use in Section 7.3.

7.3. Covering Fractions & Column Densities from Line Profile Fitting

To provide more quantitative constraints on the gas covering fractions and ion column densities, we perform a simultaneous fit to the observed Fe ii and Mg ii absorption line profiles using an analytic model. These line profiles are shown in Figure 8 as black lines, where the left column shows the profiles for the Central region and the right column shows those for the Arc region.

Figure 8. Refer to the following caption and surrounding text.

Figure 8. The optical depths and covering fractions of winds are measured by fitting absorption line profiles (black lines) with simple analytic models. The fits for the Central and Arc regions are shown in the left and right columns, and are colored red and blue, respectively. The Fe ii doublets are shown in the top two rows, and the Mg ii doublet is in the bottom row. Vertical lines indicate zero velocity in the rest frame. The fitting incorporates two components, one for the ISM and one for the wind, both of which are shown as thin dashed lines. Most probable values of the free parameters in the fits are given in the figure and Table 4. Winds in the two regions have similar values of τ0,wind for the Fe ii lines. The τ0,wind values for Mg ii are likely higher in the Arc region than the Central region. The gas covering fractions are greater than 0.9 for both regions.

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7.3.1. Fitting Methodology

For fits to the line profiles, we adopt a functional form that reflects absorption from winds and the ISM. For each component, the line optical depth τ is assumed to be a Gaussian function of the line-of-sight velocity v. Gas from the ISM is assumed to fully cover the galaxy along the lines of sight, whereas the wind component has a covering fraction Cf that ranges between 0.0 and 1.0. The resulting line profiles as a function of velocity, F(v), are determined by the optical depths due to the wind and the ISM, τwind(v) and τISM(v), and Cf . A continuum-normalized line profile has the following shape:

Equation (2)

The bracketed term on the right side represents absorption by the wind. The second term represents absorption by the ISM. The optical depths are:

Equation (3)

and

Equation (4)

where τ0,wind and τ0,ISM are optical depths at the central wavelengths of the wind and ISM components, respectively, v0,wind is the central wind velocity, and σwind and σISM are the velocity dispersions of the wind and the ISM, respectively. Our modeling of the Fe ii and Mg ii line profiles does not include any component for line emission. This is because no Fe ii, Fe ii*, or Mg ii emission lines are detected in the spectra for the two regions, as shown in Figure 3. We discuss possible reasons for the missing emission lines in Section 8.

Next, Equation (2) for the line profile shape is convolved with the line spread function of our observations (70 km s−1), and is then fit to the observed absorption line profiles. The fitting is performed with the Markov Chain Monte Carlo software package, emcee (Foreman-Mackey et al. 2013, 2019). Photometric uncertainties in the line profiles are taken into account in the fitting.

In the fitting, the following quantities are assumed to be the same for lines from the same spatial region: Cf , v0,wind, σwind, and σISM. In addition, for lines associated with the same chemical element and from the same region, their optical depths (τ0,ISM and τ0,wind) are set to be proportional to each other. The ratios between their optical depths are equal to the ratios between their λ f values, as in Equation (1). The λ f values of the Fe ii and Mg ii absorption lines are listed in Table 3.

In the fits, uniform priors are assumed for the gas covering fraction: 0 ≤ Cf ≤ 1. Log-linear priors are assumed for the line optical depths: 0.01 < τ0,wind < 20 and 0.01 < τ0,ISM < 20, such that the probability of a given value of τ is a constant function of $\mathrm{log}\,\tau $. The central velocities of the winds are assigned uniform priors: − 350 km s−1 < v0 < − 50 km s−1. The velocity dispersions of the ISM and wind components also have uniform priors: from 0 to 100 km s−1 and from 0 to 250 km s−1, respectively.

For the free parameters in Equations (2)–(4) (Cf , τ0,wind, τ0,ISM, v0,wind, σ0,wind, and σ0,ISM), the 50th percentiles of their posterior distributions are reported as the "most probable" values. These are given in Table 4. The corresponding "best-fit" models are shown in Figure 8 as red lines for the Central region and blue lines for the Arc region. The 16th and 84th percentiles quantify the uncertainties of the free parameters. The only exception is the central optical depth, τ0,wind, of the Mg ii 2586 Å line for the Arc region. Its posterior distribution is skewed toward the upper bound of the prior, which is caused by the saturation of the Mg ii doublet in the Arc region (Figure 8). As a result, only a lower limit can be inferred for its central optical depth, which is calculated as the 16th percentile of its posterior.

Table 4. Properties of the Outflowing Gas and ISM Measured from Fitting the Fe ii and Mg ii Line Profiles for the Central and Arc Regions

QuantityCentral regionArc region
Outflowing gas:   
Central optical depth τ0,wind of Fe ii 2586 Å ${1.2}_{-0.4}^{+0.8}$ ${1.6}_{-0.5}^{+0.6}$
Central optical depth τ0,wind of Fe ii 2374 Å ${0.5}_{-0.2}^{+0.3}$ ${0.6}_{-0.2}^{+0.2}$
Central optical depth τ0,wind of Mg ii 2796 Å ${5.5}_{-2.3}^{+6.1}$ >11.0
Central velocity v0,wind $-{213}_{-33}^{+26}\ \mathrm{km}\,{{\rm{s}}}^{-1}$ $-{152}_{-20}^{+10}\ \mathrm{km}\,{{\rm{s}}}^{-1}$
Velocity dispersion σwind ${118}_{-19}^{+18}\ \mathrm{km}\,{{\rm{s}}}^{-1}$ ${95}_{-8}^{+6}\ \mathrm{km}\,{{\rm{s}}}^{-1}$
Gas covering fraction Cf ${0.90}_{-0.09}^{+0.06}$ ${0.94}_{-0.05}^{+0.04}$
log Fe ii column density a $\mathrm{log}\,{N}_{\mathrm{Fe}\,\mathrm{II}}$ ${14.7}_{-0.2}^{+0.2}\ {\mathrm{cm}}^{-2}$ ${14.6}_{-0.2}^{+0.1}\ {\mathrm{cm}}^{-2}$
log Mg ii column density a $\mathrm{log}\,{N}_{\mathrm{Mg}\,\mathrm{II}}$ ${14.4}_{-0.2}^{+0.3}\ {\mathrm{cm}}^{-2}$ >14.5 cm−2
ISM:   
Central optical depth τ0,ISM of Fe ii 2586 Å ${2.6}_{-1.3}^{+2.9}$ ${3.9}_{-2.3}^{+6.0}$
Central optical depth τ0,ISM of Fe ii 2374 Å ${1.1}_{-0.5}^{+1.2}$ ${1.6}_{-1.0}^{+2.5}$
Central optical depth τ0,ISM of Mg ii 2796 Å ${6.0}_{-3.2}^{+7.2}$ ${9.9}_{-6.6}^{+6.8}$
Velocity dispersion σISM ${67}_{-14}^{+18}\ \mathrm{km}\,{{\rm{s}}}^{-1}$ ${33}_{-11}^{+12}\ \mathrm{km}\,{{\rm{s}}}^{-1}$

Note.

a These are calculated over the velocity range −450 km s−1–−150 km s−1.

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7.3.2. Results of the Fitting

The most probable line profile models from the fitting are shown in Figure 8 as thick red and blue lines, which show good matches to the data (black lines). These models are generated using the most probable values of the parameters described above, including Cf , τ0,wind, τ0,ISM, v0,wind, σ0,wind, and σ0,ISM. These values and the corresponding uncertainties are listed in the lower right of each panel in Figure 8 and in Table 4.

For the ISM component, we note that the velocity dispersions inferred from the absorption lines, ${67}_{-14}^{+18}\ \mathrm{km}\,{{\rm{s}}}^{-1}$ for the Central region and ${33}_{-11}^{+12}\ \mathrm{km}\,{{\rm{s}}}^{-1}$ for the Arc region, are consistent with those inferred from the O ii emission lines, which are 30–50 km s−1 (Section 4).

For the wind component, the inferred gas covering fractions are high for the Central and Arc regions: 0.90 and 0.94, respectively.

For the wind component, we also calculate the Fe ii and Mg ii column densities as a function of the line-of-sight velocity from the line profile fitting results using the following equation, which is a rearrangement of Equation (1):

Equation (5)

The λ f value of each line is listed in Table 3, and τwind(v) is calculated from Equation (3) using the most probable values of τ0,wind, v0,wind, and σ0,wind, which are listed in Table 4. The calculated column densities as a function of velocity are shown in Figure 9, with the Central region in red and the Arc region in blue. The two regions have similar Fe ii column density profiles. The Mg ii column density profiles of the two regions are difficult to compare, since the Mg ii lines of the Arc region are saturated and no upper bound can be obtained for the corresponding column density.

Figure 9. Refer to the following caption and surrounding text.

Figure 9. The Fe ii and Mg ii column densities of the outflowing gas as functions of velocity are shown in the left and right panels, respectively. The hatched box on the right indicates the regime where the Mg ii lines are fully saturated. The column density values for the Central and Arc regions are shown in red and blue, respectively, in each panel. These values are the results of the line profile fitting in Section 7.3. Thick solid lines demarcate the 50th percentiles, and the lighter shading around them indicates the 16th and 84th percentiles. The two regions have similar Fe ii column density profiles. The Mg ii column density profiles of the two regions are difficult to compare, since the Mg ii lines of the Arc region are saturated and no upper bound can be obtained for the corresponding column density at v > − 400 km s−1.

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Finally, we calculate the total column densities of Fe ii and Mg ii of the outflowing gas, Nion, by integrating the term Nv,ion(v) from Equation (5) over a velocity range from −450 to −150 km · s−1. Values of the Fe ii column densities are ${14.7}_{-0.2}^{+0.2}\ {\mathrm{cm}}^{-2}$ and ${14.6}_{-0.2}^{+0.1}\ {\mathrm{cm}}^{-2}$ for the Central and Arc regions, respectively, and values of the Mg ii column densities are ${14.4}_{-0.2}^{+0.3}\ {\mathrm{cm}}^{-2}$ and >14.5 cm,−2 respectively. These values are also listed in Table 4. Their typical uncertainties are around 0.3 dex. The Fe ii column densities of the two regions are similar within 0.5 dex, whereas the Mg ii column densities are difficult to compare, since only a lower limit is obtained for the Arc region. These values are consistent with those measured from equivalent widths in Section 7.2.

8. The Missing Fe ii* and Mg ii Emission Lines

In a model where the outflowing gas has an isotropic distribution around the galaxy and is free of dust, the absorption and emission line associated with the same ion and upper energy level are expected to have comparable strengths (Prochaska et al. 2011). Given that we observe strong Fe ii and Mg ii absorption lines, we should expect to find comparably strong Fe ii, Fe ii*, and Mg ii emission lines, including Fe ii 2586 Å, Fe ii 2600 Å, Fe ii* 2365 Å, Fe ii* 2396 Å, Fe ii* 2612 Å, Fe ii* 2626 Å, Fe ii* 2631 Å, Mg ii 2796 Å, and Mg ii 2803 Å, the wavelengths of which are indicated by the blue tick marks in Figure 3. None of these emission lines are detected in the observations.

It remains an open question why the emission lines are absent. Below, we discuss three possible reasons. These explanations remain to be examined quantitatively in the future through radiative transfer modeling and deep observations with wide-field integral field spectrographs.

One possible reason is that the spatial extent of winds is significantly larger than the size of the galaxy itself (e.g., Wang et al. 2020). In this case, the emission originates from a region outside of the two spatial regions in Section 7. We searched for these lines in a spectrum extracted from the full length of the slit, which has a length of 10farcs8 but did not detect them. However, it could be that the line emission has low enough surface brightness that it is lost beneath the sky background (Prochaska et al. 2011). Two other possible culprits are the dust in the outflowing gas and an anisotropic gas distribution. Dust attenuates the emission line photons, making them too faint to detect. An anisotropic gas distribution can cause photons to be redirected from their paths along the line of sight, also making the lines too faint to detect.

These two explanations are also proposed by several other observational studies at z ∼ 1 (e.g., Erb et al. 2012; Kornei et al. 2012, 2013; Finley et al. 2017a, 2017b; Feltre et al. 2018; Rickards Vaught et al. 2019). Furthermore, observational studies also find that the Mg ii emission lines are present preferentially in galaxies with stellar masses below 1010 M and relatively low dust attenuation (AUV < 2) (Erb et al. 2012; Kornei et al. 2012, 2013; Zhu et al. 2015; Finley et al. 2017b; Feltre et al. 2018; Henry et al. 2018). The Baltimore Oriole's Nest galaxy has a higher stellar mass than these Mg ii emitters, although its AUV, which is estimated to be around 1.2 (Pacifici et al. 2012, 2016), is within the range of the emitters. The Fe ii* emission lines are found preferentially in galaxies with stellar masses above 1010 M and AUV < 2 (Erb et al. 2012; Kornei et al. 2013; Finley et al. 2017b). The Baltimore Oriole's Nest galaxy falls within the same mass and dust attenuation ranges but has no significant Fe ii* lines, which remains to be understood by future studies through detailed radiative transfer modeling.

9. Where Are the Winds Launched From?

We consider two scenarios for where the winds are launched: from the Central and Arc regions (Scenario 1), and only from the Central region (Scenario 2), which is the case for the local galaxy M82 (Lehnert et al. 1999; Heckman & Thompson 2017). These scenarios are illustrated in the left and right panels of Figure 10, respectively. In the figure, two sightlines are indicated, one toward the Central region and the other toward the Arc region. The winds are indicated with gray curves.

Figure 10. Refer to the following caption and surrounding text.

Figure 10. Two scenarios for wind launch locations are illustrated. Left: For Scenario 1, winds are launched from both the Central and Arc regions. They are assumed to have similar velocity and mass outflow rates. The gas column densities along the sightlines toward the two regions are also similar. Therefore, the absorption line equivalent widths will be similar. Right: For Scenario 2, winds are launched exclusively from the center of the galaxy but are observed from the same two sightlines as in Scenario 1. The line equivalent width is larger along the sightline toward the Central region, because it passes through a greater amount of outflowing gas. The column density profiles will be different for the two sightlines. Scenario 1 is favored in this work according to the observations, because the Fe ii column density profiles for the two regions are similar, as shown in Figure 9.

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Scenario 1 is favored because it naturally explains why the Fe ii column densities of winds observed along the sightlines toward the Central and Arc regions are similar (Section 7). This is because comparable amounts of gas are launched from both regions of the galaxy, as indicated in Figure 10.

In contrast, Scenario 2 struggles to explain the similar Fe ii column densities observed along the sightlines toward the two regions (Figure 9 and Table 3). This scenario predicts that the column density should decline with radius from the center of the galaxy, or equivalently, the column density should be higher in the Central region than in the Arc region, which is not seen in the observations. To demonstrate this point, below we use a simple model to quantify the column densities of the two regions predicted by Scenario 2.

In the model, we assume that the wind is launched from the galaxy center with a density profile n(r) ∝ r−1, where n is the volume density of gas and r is the radial distance in kiloparsecs (Burchett et al. 2021; Wang et al. 2020). We further adopt a radial velocity profile of the wind (v(r)), which increases with r (Wang et al. 2020), v(r) ∝ r. We define a quantity rmax, the radial distance where the observed maximum wind velocity, 450 km · s−1 (Section 7.1), is reached. The value of rmax is assumed to be 15 kpc, consistent with the maximum radial extent of the cool galactic winds found by recent observations (Burchett et al. 2021; Zabl et al. 2021). With n(r) and v(r), we are able to calculate the column densities of the wind along the sightlines toward the Central region, which has an impact parameter of 0 kpc, and the Arc region, which has an impact parameter of 7 kpc, by integrating the volume density of gas along the two sightlines (Sobolev 1960). At a line-of-sight velocity of −150 km · s−1, which is approximately the central velocity of the wind components in Figure 8, the column density calculated for the Central region is 1.7 times that for the Arc region. This is in tension with the Fe ii column densities (Figure 9), where the column density for the Central region is ${0.8}_{-0.4}^{+0.9}$ (80% confidence interval) times that of the Arc region at the same line-of-sight velocity.

The functional forms of the gas density and velocity profiles described above are adopted because they are consistent with recent observational constraints on the structure of the cool galactic winds (e.g., Wang et al. 2020; Burchett et al. 2021; Zabl et al. 2021). Adopting alternative forms only makes Scenario 2 (wind exclusively from the Central region) even less plausible. To demonstrate this, we consider an alternate form of the velocity profile seen in some recent simulations, $v(r)\propto \sqrt{r}$ (Schneider et al. 2020; Hopkins et al. 2021), and a steep density profile seen in the simulation by Schneider et al. (2020), n(r) ∝ r−2. If either or both of the profiles are adopted, the Fe ii column density of the Central region calculated for Scenario 2 is more than three times that of the Arc region, which is in tension with observations at a confidence level above 95%.

10. Winds and Star Formation Rates

The SFR density map in Figure 4 shows that both the Central and Arc regions have SFR densities of around 0.2 M yr−1 kpc−2 (Table 1). Given that the winds likely originate from both regions (Section 9), we speculate that the winds are driven by the spatially extended star formation that covers both the Central and Arc regions of the galaxy.

We note that the SFR densities of both regions are above 0.1 M yr−1 kpc−2, which is the threshold for local starbursts to launch strong winds (Heckman 2002; Heckman et al. 2015). Winds are indeed detected in both regions for our study, consistent with this threshold measured from low redshifts.

11. Estimated Mass Outflow Rates and Mass Loading Factors

We estimate the mass outflow rates and mass loading factors for the two spatial regions. The estimated mass outflow rates are 4 M yr−1 and 3 M yr−1 for the Central and Arc regions, respectively, and the corresponding mass loading factors are both around 0.2. However, we caution that these values are only accurate to approximately an order of magnitude.

11.1. Hydrogen Column Densities

Hydrogen column densities (NH) are a prerequisite for the calculation of mass outflow rates. They are inferred from the Fe ii or Mg ii column densities, NFe II and NMg II. The calculation of NH from NFe II is detailed below, whereas that from NMg II follows the same steps.

Two quantities are needed to infer NH from NFe II, namely the gas-phase elemental abundance of Fe (NFe,gas/NH), and the ionization fraction of Fe in the gas phase (NFe II/NFe,gas):

Equation (6)

The gas-phase elemental abundance is determined from the total abundance of Fe in gas and dust, $\mathrm{log}\,$(Fe/H)total, and the dust depletion factor, [XFe/H]:

Equation (7)

We assume the ionization fraction values to be 1.0, the total metal abundance to be solar (Asplund et al. 2009; Chisholm et al. 2016), and the dust depletion factors to be the average values for the Milky Way ISM (Jenkins 2009). Their numerical values are listed in Table 5.

Table 5. Assumed Values of Physical Parameters for the Calculation of Mass Outflow Rates

ParameterDescriptionAdopted ValueEquation
NFe II/NFe,gas Fe ii ionization fraction1.0 6
NMg II/NMg,gas Mg ii ionization fraction1.0 6
log (Fe/H)total Fe total abundance (gas+dust)−4.5 (solar) 7
log (Mg/H)total Mg total abundance (gas+dust)−4.4 (solar) 7
[XFe/H]Fe dust depletion factor (log scale)−1.0 7
[XMg/H]Mg dust depletion factor (log scale)−0.5 7
D Spatial extent of the line-absorbing gas in winds5 kpc 8
Awind Surface area covered by wind= 2× Surface area × Covering fraction 8

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Following the calculations outlined above, we are able to infer two values of NH from Fe ii and Mg ii, respectively, for each of the Central and Arc regions. These values are listed in Table 6. However, we caution that the NH values inferred from Mg ii are likely substantially underestimated due to the assumption about the Mg ii ionization fraction and/or the density inhomogeneity of the outflowing gas, which we explain in detail in Appendix E. As a result, we only adopt the NH values inferred from Fe ii for the rest of this paper.

Table 6. The Hydrogen Column Densities, Column-density-weighed Velocities, Mass Outflow Rates, and Mass Loading Factors

QuantityCentral RegionArc Region
Hydrogen Column Density ($\mathrm{log}\,{N}_{{\rm{H}}}$)  
estimated from Fe ii ${20.2}_{-0.2}^{+0.2}\ [{\mathrm{cm}}^{-2}]$ ${20.1}_{-0.2}^{+0.1}\ [{\mathrm{cm}}^{-2}]$
estimated from Mg ii a ${19.3}_{-0.2}^{+0.3}\ [{\mathrm{cm}}^{-2}]$ > 19.5 [cm−2]
Column-density-weighted velocity inferred from Fe II (${\bar{v}}_{\mathrm{wind}}$) ${266}_{-14}^{+14}$ km · s−1 ${228}_{-6}^{+7}$ km · s−1
Mass outflow rate estimated from Fe ii b ${4}_{-2}^{+4}\ [{M}_{\odot }\,{\mathrm{yr}}^{-1}]$ ${3}_{-1}^{+2}\ [{M}_{\odot }\,{\mathrm{yr}}^{-1}]$
Mass loading factor estimated from Fe ii b ${0.2}_{-0.1}^{+0.6}$ ${0.2}_{-0.1}^{+0.4}$

Notes.

a Likely underestimated due to line saturation (Appendix E). b The uncertainties quoted for the mass outflow rates and mass loading factors do not include the systematic uncertainties due to the assumptions made for their calculations. These systematic uncertainties may be an order of magnitude or more.

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11.2. Mass Outflow Rates and Mass Loading Factors

To estimate the mass outflow rates from each region of the galaxy, we follow the same steps as in Rubin et al. (2014). They assume that the winds traced by Mg ii or Fe ii are in the form of a continuous flow from their launching sites to a radial distance D, and they have an average radial velocity ${\bar{v}}_{\mathrm{wind}}$. The equation for the mass outflow rate is given in Section 8.4.2 of Rubin et al. (2014):

Equation (8)

where NH is the hydrogen column density inferred from the previous subsection and Awind is the surface area of the galaxy covered by the wind. The area Awind equals the geometric surface area of each spatial region listed in Table 1 multiplied by the gas covering fraction Cf from Table 4 and an additional factor of two (Rubin et al. 2014). The term ${\bar{v}}_{\mathrm{wind}}$ is estimated as follows:

Equation (9)

where Nv,ion(v) is the Fe ii column density as a function of velocity shown in Figure 9. Values of ${\bar{v}}_{\mathrm{wind}}$ for the two regions are listed in Table 6. The term D is assumed to be 5 kpc following Rubin et al. (2014), although this number might underestimate the truth by factor of three or four according to recent observations of galactic winds at z ∼ 1 (Finley et al. 2017a; Rupke et al. 2019; Burchett et al. 2021; Zabl et al. 2021; but see also Erb et al. 2012; Tang et al. 2014, which favor D ≃ 5 kpc).

The inferred mass outflow rate is ${4}_{-2}^{+4}\ {M}_{\odot }\,{\mathrm{yr}}^{-1}$ for the Central region and ${3}_{-1}^{+2}\ {M}_{\odot }\,{\mathrm{yr}}^{-1}$ for the Arc region. We caution that the quoted uncertainties do not include systematic uncertainties, and that the mass outflow rates calculated here only serve as a rough estimate of their true values. The full uncertainties of the mass outflow rates are likely substantial, one order of magnitude or more, due to the systematic errors in the gas metallicity (±0.4 dex; Chisholm et al. 2016, 2018), ionization fraction (±1.0 dex; Murray et al. 2007; Narayanan et al. 2008; Giavalisco et al. 2011; Rubin et al. 2014; Crighton et al. 2015), dust depletion (±0.2 dex; De Cia et al. 2016; Jones et al. 2018; Wendt et al. 2021), and spatial extent of the winds (±0.5 dex; Rupke et al. 2019; Burchett et al. 2021; Zabl et al. 2021).

Finally, the mass loading factors are defined as the ratio between the mass outflow rate and the SFR of each spatial region. They are estimated to be 0.2 for both regions. However, due to the uncertainties of the mass outflow rates, the uncertainties of the mass loading factors can again be one order of magnitude or more.

12. Comparison with Previous Studies & Future Observations with JWST

The main result of this paper, i.e., that winds are launched from the entire spatial extent of the galaxy, is broadly consistent with three other similar studies at z ≳ 1. Bordoloi et al. (2016) study a gravitationally lensed star-forming galaxy with four bright star-forming clumps at z = 1.7 and find cool outflows from all the four with comparable gas column densities and mass outflow rates. Two other studies by James et al. (2018) and Rickards Vaught et al. (2019) measure the equivalent widths of the low-ionization absorption lines tracing the cool outflows along multiple sightlines toward a star-forming galaxy at z = 2.4 and a star-forming galaxy at z = 0.7, respectively. They find the line equivalent widths to be comparable among different sightlines, indicating winds from the entire spatial extents of the galaxies. In addition, the three studies also suggest that the spatially extended star formation inside the massive star-forming galaxies at this cosmic epoch drives the observed winds from the entire faces of the galaxies, which agrees qualitatively with this work and several recent hydrodynamic simulations (see Figure 15 of Grand et al. 2019 and Figure 12 of Nelson et al. 2019).

Notwithstanding the overall consistent findings of the studies mentioned above, more observations are needed to further our understanding of the roles of galactic winds in galaxy formation at z ≳ 1. Here, we identify two specific aspects to be explored in the future. First, the connection between star formation and the launching of galactic winds remains to be studied at spatial scales smaller than those of current studies. Current observations of the cool galactic winds at z ≳ 1 only reach spatial resolutions of around 6 kpc (0farcs8), due to seeing. To reach around 1 kpc, for example, a spatial resolution of 0farcs2 will be needed. Second, the impacts of winds on the formation of the morphological structures of galaxies remain to be understood. The cosmic epoch of z ≳ 1 sees the emergence of these morphological structures, such as bulges and disks (e.g., Kassin et al. 2007, 2012; Wuyts et al. 2011; Patel et al. 2013; Conselice 2014; Huertas-Company et al. 2016; Simons et al. 2017; Costantin et al. 2022). To understand the impacts of winds on these structures, we will need to observe a large sample of galaxies with a broad range of morphologies and measure the winds from their disks, bulges, etc.

Such high spatial resolution and multi-object observations are soon to be made possible by the JWST NIRSpec instrument. The Micro-Shutter Assembly on board the instrument will enable deep spatially resolved spectroscopic observations of more than 30 galaxies at z ≳ 1 simultaneously and deliver 2D maps of several spectral lines tracing winds, including Fe ii, Mg ii, and Na i D, at a spatial resolution of around 0farcs2.

13. Conclusion

We study the extended winds from a massive star-forming galaxy at z = 1.3 using deep spectra from the DEIMOS spectrograph on Keck. The morphology of the galaxy is indicative of a recent merger. Gas kinematics indicate a dynamically complex system with velocity gradients ranging from 0–60 km s−1. For this galaxy, we measure the properties of the cool outflowing gas (∼104 K) from Fe ii and Mg ii absorption lines. This is done for two regions of the galaxy: a dust-obscured center ("Central region"), and an extended arc ("Arc region") that is around 7 kpc away from the center. These regions make the galaxy visually resemble a "Baltimore Oriole's Nest," which is the nickname we give it. Our main results are as follows:

  • 1.  
    Outflows are detected in both regions of the galaxy according to the observed blueshifted Fe ii and Mg ii absorption lines. For both regions, the wind velocities are in the range of 100–450 km · s−1 (Section 7.1)
  • 2.  
    The Fe ii absorption line profiles of the two regions have similar shapes. The inferred Fe ii column densities of the outflowing gas for the two regions are also similar: ${10}^{{14.7}_{-0.2}^{+0.2}}\,{\mathrm{cm}}^{-2}$ for the Central region and ${10}^{{14.6}_{-0.2}^{+0.1}}\,{\mathrm{cm}}^{-2}$ for the Arc region (Sections 7.2 and 7.3).
  • 3.  
    Our results prefer a scenario in which galactic winds are launched from both regions of the galaxy (Section 9).
  • 4.  
    The mass outflow rates are estimated to be 4 M yr−1 and 3 M yr−1 for the Central and Arc regions, respectively (Section 11). However, the systematic uncertainties of these values may be one order of magnitude or more.

We speculate that winds are most likely driven by the spatially extended star formation of the galaxy (Section 10). The SFR densities are similar in the two regions, both around 0.2 M yr−1 kpc−2, according to the SED modeling.

This work is the pilot study of a larger program, in which we will use deep DEIMOS data to study spatially resolved properties of the winds from a large sample of massive star-forming galaxies at z ∼ 1. Massive star-forming galaxies at this cosmic epoch are expected to have extended star formation similar to the galaxy studied in this work (e.g., Wang et al. 2017; Liu et al. 2018; Tacchella et al. 2018; Morselli et al. 2019; Nelson et al. 2019), and therefore are expected to have winds launched from extended areas. This work is also a pathfinder for future studies with the James Webb Space Telescope, with which spatially resolved spectroscopic observations of winds can be conducted with high spatial resolution and spectral sensitivity at z ≳ 1.

We would like to thank the anonymous referee for a thorough and insightful report on the paper. W.W. and S.A.K. would like to acknowledge support from NASA's Astrophysics Data Analysis Program (ADAP) grant number 80NSSC20K0760 and an RSAC grant from the Space Telescope Science Institute. D.C.K. acknowledges support from the National Science Foundation grant AST-1615730. E.C.C. and P.G. acknowledge support from the National Science Foundation grant AST-1616540. E.C.C. is supported by a Flatiron Research Fellowship at the Flatiron Institute. The Flatiron Institute is supported by the Simons Foundation. C.P. is supported by the Canadian Space Agency under a contract with NRC Herzberg Astronomy and Astrophysics. H.Y. acknowledges support from the Research Fund for International Young Scientists of NSFC (11950410492).

Some of the data presented herein were obtained at the W. M. Keck Observatory, which is operated as a scientific partnership among the California Institute of Technology, the University of California and the National Aeronautics and Space Administration. The Observatory was made possible by the generous financial support of the W. M. Keck Foundation. The authors wish to recognize and acknowledge the very significant cultural role and reverence that the summit of Maunakea has always had within the indigenous Hawaiian community. We are most fortunate to have the opportunity to conduct observations from this mountain. This work is based on observations taken by the CANDELS Multi-Cycle Treasury Program with the NASA/ESA HST, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-26555.

We are grateful for Mr. John Anes offering his photo of the Baltimore Oriole, which is adopted in this paper. We wish his children many beautiful star-filled nights with their new telescope. The authors would also like to thank Camilla Pacifici for her keen eye in relating the galaxy in this paper to a bird in a nest. We thank Sylvain Veilleux, J. X. Prochaska, and John Chisholm for the inspirational discussions at various stages of this project. W.W. also wants to thank Guido Roberts-Borsani for providing a table of mass loading factor values from his paper, and Robert Grand for providing a snapshot of the Auriga galaxy simulation.

This research made use of Astropy, 12 a community-developed core Python package for Astronomy (Astropy Collaboration et al. 2013, 2018).

Appendix A: Spectral Background Subtraction

The background in the DEIMOS 2D spectra varies along the slit. This spatial variation is not taken into account by the standard data reduction pipeline. We present a 2D spectrum in Figure 11 to show this variation. The spatial direction is vertical and the wavelength direction is horizontal. The galaxy studied in this paper is located in rows 35–55. As can be seen from the second panel in the figure where the 2D spectrum is smoothed to show variations on larger scales, the surrounding background varies significantly along the spatial direction. This is especially the case for columns 1000–2000, where the flux varies from around −3 to 3. The spatial variation is likely due to light leaking from neighboring slits on the same DEIMOS mask and/or scattered from other astronomical or artificial sources during the observations.

Figure 11. Refer to the following caption and surrounding text.

Figure 11.  First panel: The 2D spectrum obtained with a slit position angle of 10°. The spatial direction is vertical and the wavelength direction is horizontal in the figure, and the units of the two axes are pixel numbers. The galaxy is located in rows 35–55. The ranges where the 1D spectra of the Central and Arc regions are extracted are indicated in the figure. Color bars indicate the flux of each pixel, in units of flux counts per hour. Second panel: The same 2D spectrum but smoothed along the spatial and spectral directions. A significant spatial variation (vertical direction in the figure) in the background flux can be easily seen from this smoothed version of the spectrum. This is especially the case for columns 1000–2000, where the flux varies from around −3 to around 3 from the bottom to the top of the spectrum. Third panel: The 2D spectrum after the background is subtracted. Fourth panel: The background that is subtracted out. This correction brings a flux change of no more than 10% to the resulting 1D spectra relative to the continuum. Details about modeling the spatially varying background can be found in Appendix A.

Standard image High-resolution image

To remove spatial variation, we assume the background flux is a linear function of the row number. The fit is done for every column of the 2D spectrum. This results in a 2D model for the background. The 2D model is then smoothed with a Gaussian of rms of 10 pixels (6.5 Å) along the wavelength direction. The smoothed model is then subtracted from the original 2D spectrum, and the result is shown in the middle panel of Figure 11. It has a more uniform background along the spatial direction than before the subtraction. We find that this background removal brings a flux change of no more than 10% to the resulting 1D spectra relative to the spectral continuum for both spatial regions in the galaxy we study.

Appendix B: Beam Smearing

We show the influence of atmospheric seeing during the observations, and validate that the galaxy can be sufficiently resolved into two regions: the Central region and the Arc region. To do this, we convolve a high-resolution HST ACS/F606W image of the galaxy with the ground-based seeing (FWHM = 0farcs86). In Figure 12, we show the original-resolution HST images of just the Central and Arc regions in Panels A and C, respectively. The convolved images of these regions are shown in Panels B and D, respectively. About 70% of the light from the Central region originates in the high-resolution image of the same region. This value reaches 80% for the Arc region. Therefore, the two spatial regions are indeed resolved in the Keck observations.

Figure 12. Refer to the following caption and surrounding text.

Figure 12. HST images of the Central and Arc regions in the ACS/F606W band are shown in Panels A and C, respectively. They are blurred by the ground-based seeing in Panels B and D, respectively. Red and blue rectangles indicate the bounds of the two regions used in our analysis. The seeing has an FWHM of 0farcs86, which is indicated by the hatched circles. On the blurred images, 70% (80%) of the light collected in the Central (Arc) region originates in the high-resolution image of the same region. This means that the beaming smearing effect is not significant and the two regions can be resolved in the spectral observations. The color bar indicates the image surface brightness in arbitrary units.

Standard image High-resolution image

Appendix C: Measuring Redshifts and Searching for Outflows from the [O ii] Emission Lines

The redshifts of the Central and Arc regions are measured from the [O ii] λ λ 3727/3729 Å nebular emission lines. For each region, the measurement is done by fitting each of the two [O ii] lines with Gaussian profiles. The observed line profiles (black curves) and the Gaussian fits (red and blue curves) are presented in Figure 13.

Figure 13. Refer to the following caption and surrounding text.

Figure 13. We fit the observed line profiles of the [O ii] λ λ 3727/3729 Å doublet with Gaussian functions to infer the redshifts and look for outflows in the warm ionized phase for the Central and the Arc regions. Left panels show the observed emission line profiles (black) along with the models (red and blue), and right panels show residuals of the fitting. For both regions, each line in the doublet can be fit well with just one Gaussian (red lines). Centroids of the best-fit Gaussians are used to infer the redshift of each spatial region. Models that invoke two Gaussian components for each line are also presented (blue lines), and they do not improve the fitting compared to the single-Gaussian models. This means that the broad wings that are signatures of the outflowing gas are not present in the observed [O ii] line profiles, and the [O ii] lines only trace the ISM. All the Gaussian models in the figure have been convolved with the DEIMOS line spread function to account for the instrument resolution.

Standard image High-resolution image

Before we determine the redshift values, we inspect the fitting results and examine whether the [O ii] emission lines are only from the galaxy ISM or they are also from the ionized gas outflows. If the outflows are present, broad wings would be expected in the line profiles and each part of the [O ii] line doublet would be better fit with two Gaussians (double-Gaussian model) than a single Gaussian (single-Gaussian model; e.g., Genzel et al. 2011; Newman et al. 2012a; Förster Schreiber et al. 2014, 2019; Zakamska & Greene 2014; Davies et al. 2019). We show in the left panels of Figure 13 that the double-Gaussian fits are indistinguishable from the single-Gaussian fits. In addition, as shown on the right, the residuals for single-Gaussian fits do not have any features. Therefore, single-Gaussian fits are sufficient and no signature of outflows are present in the [O ii] line profiles.

After concluding that the [O ii] lines only trace the ISM of the galaxy, we use the single-Gaussian fits to determine the observed wavelengths of the line centroids and infer the systemic redshifts. The inferred redshifts are 1.3060 and 1.3063 for the Central and Arc regions, respectively. The velocity dispersion values of the [O ii] lines shown in Figure 13 are measured to be 65 km s−1 and 67 km s−1 for the Central and Arc regions, respectively, before the instrument line spread function is subtracted, and 40 km s−1 and 42 km s−1 afterward, correspondingly.

Appendix D: Relation between Line Equivalent Width and Column Density

We provide a brief explanation of the relation between the equivalent widths of the absorption lines and the ion column density. We explain that the column densities can be constrained from the relative difference in the equivalent widths of the two absorption lines that have different oscillator strengths.

A larger (smaller) difference in the equivalent widths of the two lines indicates a lower (higher) ion column density. This is because the two lines reach the optically thick regime (saturation) at different column densities. An intuitive example is shown in the middle and bottom panels of Figure 6. The Mg ii λ λ 2796/2803 Å doublet is shown as an example, and the arguments for the Fe ii doublets are similar. The two Mg ii lines have different oscillator strengths: f2796 =0.61 and f2803 = 0.31. Because the optical depth is proportional to the column density times their λ f values (Equation (1)), their optical depths differ by a constant factor of (λ2803 f2803)/(λ2796 f2796) = 0.5. At a low column density, the Mg ii 2803 Å is optically thin and weaker than Mg ii 2796 Å (middle left and bottom left of Figure 6). Therefore, the equivalent width of Mg ii 2803 Å is smaller than that of Mg ii 2796 Å: EW2803 < EW2796. The relation of equivalent widths changes when the Mg ii column density increases to a value (around 1014.5cm−2 for this work) such that both lines become optically thick (τ2796 ≥ 5, τ2803 ≥ 5). This case is shown in the middle right and bottom right panels of Figure 6. The two Mg ii absorption lines fully saturate and reach similar equivalent widths: EW2803 ≃ EW2796. Changing the gas covering fraction does not change the arguments made above. More detailed discussion can be found in textbooks like Draine (2011).

Appendix E: Discrepancies between the Hydrogen Column Densities Inferred from Fe ii and Mg ii

We argue here that the hydrogen column densities inferred from Fe ii in the main text are better estimates than those inferred from Mg ii. In Section 11.1, we find that the hydrogen column density inferred from Fe is around a factor of 8 or 0.9 dex higher than that inferred from Mg for the Central region. Similar discrepancies are also found in the literature (e.g., Rigby et al. 2002; Churchill et al. 2003; Narayanan et al. 2008; Rubin et al. 2010; Bordoloi et al. 2016). Two possible explanations exist for the discrepancy.

First, the discrepancy is likely caused by uncertainties in the conversion from the ion column density to the hydrogen column density. The conversion is dependent on the Fe and Mg dust depletion factors and the ionization fractions. The assumed values of the dust depletion factors are not likely to be the culprit of the discrepancy, however. This is because the depletion factors measured from observations have intrinsic scatters of no more than 0.15 dex (Jenkins 2009; Figure 9 of De Cia et al. 2016), which result in an uncertainty of no more than 0.15 dex in the inferred hydrogen column densities, significantly smaller than the 0.9 dex discrepancy. It is possible to resolve the discrepancy by adjusting the assumed Mg ii ionization fraction value from 1.0 (which is adopted in the main text) to 0.1–0.2, while keeping the Fe ii ionization fraction value adopted in the main text unchanged. Such an adjustment, although yet to be justified by physical ionization models, would indicate that the hydrogen column densities inferred from Fe ii are closer to the truth, whereas those originally inferred from Mg ii in the main text are significantly underestimated.

The second explanation is that the hydrogen column density inferred from Mg ii is underestimated due to a population of dense clouds or radial filaments in the winds that are optically thick for the Mg ii lines. Such clouds are optically thick for the Mg ii lines because the oscillator strengths of the lines are high. For example, the oscillator strength of the Mg ii 2803 Å line is 5 times higher than that of the Fe ii 2896 Å line and 12 times higher than that of the Fe ii 2374 Å line (Table 3). As a result, the Mg ii lines saturate at a lower column density than the Fe ii lines and the observed Mg ii line profiles are dominated by sightlines that probe the low column density gas, not the dense clouds. The hydrogen column density inferred from Mg ii will be underestimated because the dense clouds are missed. This effect for Mg ii is reminiscent of the "hidden saturation" effect discovered for the ISM of local galaxies: James et al. (2014) find that the hydrogen column densities inferred from absorption lines with higher oscillator strengths are lower than those inferred from lines with lower oscillator strengths. They have an explanation similar to ours, i.e., that the discrepancy is caused by density inhomogeneities in the gas. Just like the first explanation, this second explanation indicates that the hydrogen column densities inferred from Mg ii are substantially underestimated.

In summary, both explanations for the discrepancy indicate that the hydrogen column densities inferred from Fe ii in our calculation are closer to the truth, whereas those inferred from Mg ii are substantially underestimated. Therefore, only the hydrogen column densities inferred from Fe ii are adopted in this paper, for both regions of the galaxy.

Footnotes

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10.3847/1538-4357/ac6592