ABSTRACT

The nature of the newly discovered fast blue optical transients (FBOTs) is still puzzling astronomers. In this paper, we carry out a comprehensive analysis of the molecular gas, ionized gas, and stellar populations in the environment of the nearby FBOT AT2018cow based on ALMA, VLT/MUSE, and HST/WFC3 observations. A prominent molecular concentration of 6 (± 1) × 106 M is found in the vicinity of AT2018cow, which has given rise to two active star-forming complexes with ages of 4 ± 1 and ≲2.5 Myr, respectively. Each star-forming complex has a stellar mass of 3 × 105 M, and has photoionized a giant H ii region with Hα luminosity even comparable to that of the 30 Dor mini-starburst region. AT2018cow is spatially coincident with one of the star-forming complexes; however, it is most likely to reside in its foreground since it has a much smaller extinction than the complex. Its progenitor could have been formed in a different star-forming event, and the non-detection of the associated stellar population constrains the progenitor’s age to be ≳10 Myr and initial mass to be ≲20 M. We further find the late-time brightness of AT2018cow is unlikely to be a stellar object. Its brightness has slightly declined from 2 to 4 yr after explosion and is most likely to originate from AT2018cow itself due to some powering mechanism still working at such late times.

1 INTRODUCTION

Fast blue optical transients (FBOTs) are among the most important discoveries made by modern time-domain surveys at high cadence. Their peak luminosities are similar to those of normal or superluminous supernovae (SNe); however, they rise to peak in just a few days, and then drop rapidly evolving at a rate much faster than typical SNe (Ho et al. 2021). Pure radioactive decay, which powers most of the normal SNe (Arnett 1982), is unable to explain their fast-evolving light curves (Xiang et al. 2021). They have very blue colours consistent with high-photospheric temperatures of >104 K (Kuin et al. 2019; Perley et al. 2019; Ho et al. 2020; Xiang et al. 2021), and many of them are found to be luminous at radio and X-ray wavelengths (Ho et al. 2019; Margutti et al. 2019; Coppejans et al. 2020; Bright et al. 2022; Yao et al. 2022). All these features suggest that FBOTs are a distinct new type of transients that was unknown to us.

It is still unclear what progenitors give rise to FBOTs and what processes power their rapid evolution. Most of the current models can be classified into two categories. The first set of models consider a star being tidally disrupted and accreted onto a black hole (e.g. Liu et al. 2018; Kuin et al. 2019; Perley et al. 2019; Metzger 2022), while the second category regards FBOTs as arising from the core collapse of massive stars. To power the rapid evolution, the collapsar models require some special energy input by, e.g., magnetar (Prentice et al. 2018; Fang et al. 2019; Liu et al. 2022), jets (Gottlieb, Tchekhovskoy & Margutti 2022; Soker 2022), or the strong interaction between ejecta and circumstellar material (CSM; Fox & Smith 2019; Leung et al. 2020; Xiang et al. 2021). Some other models consider the accretion-induced collapse of white dwarfs (Wang & Liu 2020), the cooling emission from an extended envelope (Drout et al. 2014), or the shock breakout from a dense wind (Rest et al. 2018). Many observational studies (Ho et al. 2021; Xiang et al. 2021) reveal the similarities in the light curves and spectra between FBOTs and the Type Ibn SNe (i.e. the explosion of hydrogen-poor stars, possibly stripped in binaries, with strong ejecta-CSM interaction; Pastorello et al. 2007, 2008; Hosseinzadeh et al. 2017; Sun et al. 2020), and theoretically, Dessart, Hillier & Kuncarayakti (2022) showed that the standard-energy explosions of helium stars within dense CSM are reminiscent of FBOTs while the low-energy explosions are more consistent with Type Ibn SNe. Some other astronomers suggest that FBOTs have mildly or subrelativistic outflows (e.g. Coppejans et al. 2020; Ho et al. 2020), which could bridge the gap between normal SNe and the long gamma-ray bursts with very powerful jets.

At a distance of 63 Mpc, AT2018cow is the closest FBOT ever detected, and was monitored intensively soon after its discovery. It has a high-peak luminosity of 1044 erg s−1, and was bright not only at optical but also at radio, infrared, ultraviolet (UV), and X-ray wavelengths (Fox & Smith 2019; Ho et al. 2019; Kuin et al. 2019; Margutti et al. 2019; Perley et al. 2019; Xiang et al. 2021). The non-detection of linear polarization at 230 GHz possibly suggests a dense circumstellar environment with a strong magnetic field that leads to Faraday depolarization, and may support a stellar explosion scenario for AT2018cow (Huang et al. 2019). With very-long-baseline interferometry, Mohan, An & Yang (2020) did not find any evidence for jetted ejecta and argued that AT2018cow could be powered by a magnetar. Pasham et al. (2021) reported a quasi-periodic oscillation in its soft X-ray emission, suggesting the possible presence of a compact object. More recently, Sun et al. (2022b) discovered a hot and luminous source at the position of AT2018cow on images taken at 2–3 yrs after explosion by the Wide Field Camera 3 (WFC3) on the Hubble Space Telescope (HST). The nature of this source is still unclear and could be a stellar object, a light echo, or the very late-time emission powered by some unknown process.

Environmental analysis is a powerful method to reveal the origin of astronomical transients; their progenitors’ properties can be inferred from their parental stellar populations in the environment, since most stars are born in groups and stars in each group has very similar ages and chemical abundances (e.g. Anderson et al. 2012; Kuncarayakti et al. 2013a,b, 2018; Maund & Ramirez-Ruiz 2016; Maund 2017, 2018; Sun et al. 2020, 2021, 2022a). For AT2018cow, Morokuma-Matsui et al. (2019) used data from the Atacama Large Millimeter/submillimeter Array (ALMA) to show that its host galaxy is rich in molecular gas and has active star formation. Lyman et al. (2020) analysed the integral-field-unit (IFU) data from the Multi-Unit Spectroscopic Explorer (MUSE) mounted on the Very Large Telescope (VLT); they found that AT2018cow’s environment is very similar to those of core-collapse SNe in terms of metallicity and Hα equivalent width. Both works support AT2018cow arising from a massive stellar explosion; however, more detailed studies are still needed to better constrain the properties of its progenitor.

In this paper, we carry out a comprehensive environmental analysis of AT2018cow. We use a combined data set from ALMA, VLT/MUSE, and HST/WFC3 to probe the molecular gas, ionized gas, and stellar populations in its environment and, with a variety of techniques to derive their accurate parameters. We also try to identify the relationship between AT2018cow and the environmental components. Our aims are to constrain the properties of AT2018cow’s progenitor, and to explore the nature of its mysterious late-time brightness.

Throughout this paper, we adopt a redshift of 0.01406 and a distance of 63 Mpc for the host galaxy, CGCG 137-068, and a Galactic extinction of |$A_{\rm V}^{\rm mw}$| = 0.24 mag (Schlafly & Finkbeiner 2011), and an explosion date of MJD = 58284.79 for AT2018cow (all consistent with Xiang et al. 2021). This paper is structured as follows. Section 2 describes the data source and reduction, and the environmental analysis is carried out in Section 3. Section 4 discusses the implications for AT2018cow’s progenitor and late-time brightness. We finally close this paper with a summary and our conclusions.

2 DATA

2.1 ALMA observations

AT2018cow was observed by the ALMA 12-m array in the project ‘The origin of the non-thermal emission of the peculiar transient AT2018cow’ (ID: 2017.A.00045.T; PI: Steve Schulze); although the original purpose was to measure the continuum flux of AT2018cow, the CO (1–0) line (with a rest frequency of 115.271202 GHz) was also covered in one of the 2-GHz spectral windows in the observations on June 30, July 16, August 11, and 2018 September 21. These observations used 43–47 antennas in configurations with maximum baselines of ∼300–1400 m, and the on-source integration time was 13–20 min for each execution. The original channel width is 15.625 MHz, corresponding to a velocity resolution of ∼40 km s−1. The flux density scale was established using scans of the standard calibrator J1550+0527, and the flux calibration uncertainty was ∼3 per cent for ALMA Cycle-5 band-3 observations (ALMA Partnership 2017). The phase and water vapour were further checked by observing the nearby calibrator of J1619+247.

We retrieved the data from the ALMA science archive1 and performed calibration with the standard pipeline and the casa package2. The underlying dust continuum emission was subtracted in the uv-plane, and we only considered the frequency range overlapping with our science goals for the final combination of multi-execution data. We made the line datacube from the combined calibrated data using the tclean task with Briggs weighting and robust = 0.5 (in order to optimize the sensitivity per frequency bin and the resolution of the final map), and with auto-multithresh mask and sidelobethreshold = 2.0, noisethreshold = 4.25, minbeamfrac = 0.3, lownoisethreshold = 1.5, negativethreshold = 15.0 and threshold = 3σ. The synthesized beam size is 1|${_{.}^{\prime\prime}}$|362 × 1|${_{.}^{\prime\prime}}$|135, corresponding to 416 × 346 pc at the host galaxy’s distance. The noise level in a 15.625-MHz channel is 1.87 × 10−4 mJy beam−1, and the moment-0 map (i.e. the velocity-integrated intensity) has a sensitivity of 0.027 Jy beam−1 km s−1.

Our derived CO (1–0) map (Fig. 1) is slightly different from that of Morokuma-Matsui et al. (2019). We noted that they have only used the observations performed on 2018 June 30 and July 16, with shorter baselines and poorer spatial resolutions. By including the additional data acquired on 2018 August 11 and September 21, we can achieve a higher spatial resolution and sensitivity.

AT2018cow’s host galaxy (upper panels) and local environment (lower panels): (a, d) velocity-integrated intensity maps of the CO (1–0) line emission as observed by ALMA; (b, e) wavelength-integrated flux maps of the Hα line emission as observed by VLT/MUSE; and (c, f) the F336W/F555W/F814W three-colour composite images as observed by HST/WFC3 at t = 714 d. The crosshairs correspond to the position of AT2018cow, and the ‘+’ symbols in the upper panels indicate the centre of the host galaxy. The spatial resolutions of the CO and Hα maps are shown by the grey ellipses/circles in the lower-left corners. The regions defined for environmental analysis are shown as the circles in the lower panels. All images are aligned with north up and east to the left.
Figure 1.

AT2018cow’s host galaxy (upper panels) and local environment (lower panels): (a, d) velocity-integrated intensity maps of the CO (1–0) line emission as observed by ALMA; (b, e) wavelength-integrated flux maps of the Hα line emission as observed by VLT/MUSE; and (c, f) the F336W/F555W/F814W three-colour composite images as observed by HST/WFC3 at t = 714 d. The crosshairs correspond to the position of AT2018cow, and the ‘+’ symbols in the upper panels indicate the centre of the host galaxy. The spatial resolutions of the CO and Hα maps are shown by the grey ellipses/circles in the lower-left corners. The regions defined for environmental analysis are shown as the circles in the lower panels. All images are aligned with north up and east to the left.

2.2 VLT/MUSE observations

AT2018cow was also observed by VLT/MUSE in May 2019 (i.e. t ∼1 yr) as part of the All-weather MUse Supernova Integral field Nearby Galaxies (AMUSING) survey IX: supernova and tidal disruption event rates as a function of environment age and metallicity (Program ID: 0103.D-0440; PI: Anderson J.). The total exposure time was 2805 s, divided into four exposures with slight offsets and rotations in 90° steps to minimize detector artefacts. The field of view is 1 × 1 arcmin (wide-field mode) with a sampling of 0|${_{.}^{\prime\prime}}$|2, and the spatial point spread function (PSF) has a full width at half maximum (FWHM) of 0|${_{.}^{\prime\prime}}$|86 (as determined by Lyman et al. 2020 using isolated stars in the white-light image). The wavelength range is 4750–9350 Å with a 1.25-Å sampling and the spectral resolution (R = dλ/λ) varies from ∼1770 at the blue end to ∼3590 at the red end.

Data cube reduced by the standard pipeline was retrieved from the ESO data archive3, and then corrected for a flux scaling factor of 0.35 from the photometric re-calibration of AMUSING Data Release 1 (Lyman et al. 2020). The ifuanal package (Lyman et al. 2018, 2020) was applied for further processing. The data cube was firstly de-redshifted, corrected for Galactic extinction, and masked for bright foreground stars. The spaxels were then binned with Voronoi tessellation to achieve signal-to-noise ratios of at least 30 in the wavelength range of 5590–5680 Å. The spectrum of each bin was fitted with the starlight package (Cid Fernandes et al. 2005) based on the Bruzual & Charlot (2003) simple stellar population models, and the fitted stellar continuum was scaled to match and removed from the observed spectrum of the each individual spaxel inside the bin. In this way, we can clean the stellar radiation from the data cube, leaving only nebular emission lines from the ioinzed gas.

2.3 HST/WFC3 observations

Table 1 lists the HST data used in this work. They are from three different programs (IDs: 15600, 15974, and 16179), all performed with the Ultraviolet-Visible (UVIS) channel of WFC3. The first program was conducted at t = 52, 57, and 62 d, aiming to observe AT2018cow itself in four UV filters (F218W, F225W, F275W, and F336W). In this work, we only use the F225W images from this data set since the other ones are too shallow to probe any stellar populations efficiently in the environment. The second program was observed at a much later epoch of t = 714 d, and covered a large wavelength range with the F225W, F336W, F555W, and F814W filters. Lastly, the third program obtained optical F555W and F814W images at ∼3 yrs after explosion.

Table 1.

HST/WFC3 observations.

ProgramEpochdFilterExposure
ID(d)time (s)
15600a52F225W770
1560057F225W770
1560062F225W770
15974b714F225W1116
714F336W1116
714F555W1044
714F814W1044
16179c1136F555W710
1136F814W780
ProgramEpochdFilterExposure
ID(d)time (s)
15600a52F225W770
1560057F225W770
1560062F225W770
15974b714F225W1116
714F336W1116
714F555W1044
714F814W1044
16179c1136F555W710
1136F814W780

Notes. PIs: (a) Foley R.; (b) Levan A.; (c) Filippenko A.

(d) Epoch is relative to an explosion date of MJD = 58284.79 as estimated by Xiang et al. (2021).

Table 1.

HST/WFC3 observations.

ProgramEpochdFilterExposure
ID(d)time (s)
15600a52F225W770
1560057F225W770
1560062F225W770
15974b714F225W1116
714F336W1116
714F555W1044
714F814W1044
16179c1136F555W710
1136F814W780
ProgramEpochdFilterExposure
ID(d)time (s)
15600a52F225W770
1560057F225W770
1560062F225W770
15974b714F225W1116
714F336W1116
714F555W1044
714F814W1044
16179c1136F555W710
1136F814W780

Notes. PIs: (a) Foley R.; (b) Levan A.; (c) Filippenko A.

(d) Epoch is relative to an explosion date of MJD = 58284.79 as estimated by Xiang et al. (2021).

The images were retrieved from the Mikulski Archive for Space Telescopes4. We aligned them with tweakreg, acquiring subpixel accuracies, and re-drizzled them with astrodrizzle5, using driz_cr_grow = 3 for better cosmic ray removal (all other parameters were left unchanged as in the standard calibration pipeline). We then performed PSF photometry on the images with the dolphot package (Dolphin 2000). In doing this, we used parameters of FitSky = 2, img_RAper = 3, and Force1 = 1, which can better resolve the sources in crowded fields; aperture correction was turned off with ApCor = 0 (typical values are only of several hundredths magnitude, much smaller than the random errors); the other parameters were the same as recommended in the user manual. Artificial star tests were used to determine the detection limits and estimate the additional photometric uncertainties due to crowding. Throughout this paper all magnitudes are reported in the Vega system.

2.4 Relative astrometry

We used eight common stars to align the MUSE data cube with the HST images, achieving an accuracy of ∼0.9 WFC3/UVIS pixel or ∼0.2 MUSE spaxel. The ALMA data cube was aligned with the MUSE data cube and HST images using the galaxy’s centre as reference; the typical error is 1–2 MUSE spaxels, much smaller than the spatial extents of the molecular or ionized gas.

3 ENVIRONMENT

Fig. 1 shows the maps of molecular gas, ionized gas and stellar populations in the host galaxy of AT2018cow, traced by CO (1–0) observed by ALMA, Hα observed by VLT/MUSE, and UV-optical images acquired by HST/WFC3. The galaxy has a bright nuclei and very flocculent spiral arms. The arms are only marginally depicted by the young stars and H ii regions, and can hardly be seen in the spatial distribution of molecular gas. Star formation inside such a flocculent galaxy is most likely self-propagating instead of being controlled by spiral density waves.

Fig. 2 shows the structure of AT2018cow’s local environment. In its vicinity, there is a very prominent concentration of molecular gas associated with two giant star-forming complexes. Both complexes are very populous in young massive stars/star clusters, which have photoionized the surrounding gas and given rise to the bright H ii regions. AT2018cow is spatially coincident with one complex; at the time of the HST observations, AT2018cow was still bright in all four filters (F225W, F336W, F555W, and F814W) although the nature of this late-time source remains mysterious (Sun et al. 2022b).

Left: the local environment of AT2018cow; blue contours: CO (1–0) velocity-integrated intensities from 3σ to 10σ in steps of 1σ, where σ = 0.027 Jy beam−1 km s−1; red contours: Hα wavelength-integrated fluxes in levels of 1.2, 1.5, 2.0, and 3.0 × 10−17 erg s−1 cm−2; points: sources detected on the HST F555W image with symbol sizes reflecting their magnitudes (according to the legend shown in the upper-left corner); the star in magenta indicates the position of AT2018cow, and the large circles in black show the regions defined for environmental analysis. Right: A simple model of the environment of AT2018cow along a vertical slice through its position and the line of sight.
Figure 2.

Left: the local environment of AT2018cow; blue contours: CO (1–0) velocity-integrated intensities from 3σ to 10σ in steps of 1σ, where σ = 0.027 Jy beam−1 km s−1; red contours: Hα wavelength-integrated fluxes in levels of 1.2, 1.5, 2.0, and 3.0 × 10−17 erg s−1 cm−2; points: sources detected on the HST F555W image with symbol sizes reflecting their magnitudes (according to the legend shown in the upper-left corner); the star in magenta indicates the position of AT2018cow, and the large circles in black show the regions defined for environmental analysis. Right: A simple model of the environment of AT2018cow along a vertical slice through its position and the line of sight.

We define four circular regions for the next environmental analysis. Region-0 is centred on the star-forming complex associated with AT2018cow (following the convention of Lyman et al. 2020), and has a radius of 200 pc. Region-1 has a larger radius of 250 pc and encloses the other star-forming complex. With a radius of 300 pc, Region-2 is used to analyse the molecular gas. We further define a control region with the same radius as Region-0, located at a similar galactocentric distance but without obvious star formation, in order to estimate the light from older stellar populations (which will be used in Section 3.3.3).

3.1 Molecular gas

Fig. 3 shows the ALMA spectrum integrated over Region-2; the continuum has been subtracted by fitting with a zeroth-order polynomial. The CO (1–0) line is clearly detected, and with a Gaussian fit we derive a velocity-integrated intensity of FCO(1-0) = 0.15 ± 0.02 Jy km s−1, a central velocity of 4207 ± 4 km s−1 (in the barycentric frame) and a line width (standard deviation) of 33 ± 4 km s−1. The measured parameters are then converted to a luminosity of LCO(1-0) = 1.4 (± 0.3) × 106 K km s−1 pc2 with
(1)
where z is the redshift, vobs the observed line frequency, and D the distance to the target. By assuming a CO-to-H2 conversion factor6 of XCO = 2 × 1020 cm−2 (K km s−1)−1 (Utomo et al. 2015), we estimate a molecular gas mass of 6 (± 1) × 106 M (including hydrogen and helium), using the relation
(2)
Black: continuum-subtracted ALMA CO (1–0) spectrum integrated over Region-2; the velocity is in the Barycentric frame and with respect to the line’s rest frequency of 115.271202 GHz plus 4207 km s−1. Red: Gaussian-profile fit to the data; the vertical dashed line shows the central velocity derived from the fitting.
Figure 3.

Black: continuum-subtracted ALMA CO (1–0) spectrum integrated over Region-2; the velocity is in the Barycentric frame and with respect to the line’s rest frequency of 115.271202 GHz plus 4207 km s−1. Red: Gaussian-profile fit to the data; the vertical dashed line shows the central velocity derived from the fitting.

These results support Region-2 being a very massive agglomeration of molecular gas. Its mass is almost twice that of LMC’s prominent ‘Molecular Ridge’ (with 30 Dor on its northern tip; Ott et al. 2008), and even comparable to some of the mini-starburst molecular cloud complexes (e.g. Nguyen-Luong et al. 2016). This large reservoir of cold molecular gas provides enough material for the active star formation seen in the environment of AT2018cow.

3.2 Ionized gas

Fig. 4 shows the MUSE spectra integrated over Region-0 and Region-1 from the continuum-subtracted data cube. A series of nebular emission lines are clearly revealed, including the recombination lines of Hα, Hβ, He i λ5876 Å, and He i λ6678 Å, and the collisionally-excited lines from nitrogen ([N ii] λλ6548, 6583), oxygen ([O i] λλ6300, 6363, [O iii] λλ4959, 5007), and sulphur ([S ii] λλ6716, 6731). We fit Gaussian profiles to the lines to determine their wavelength-integrated fluxes, central velocities, and widths; we also remove the instrumental broadening (using the line spread function of Guérou et al. 2017) from the measured line widths to acquire the intrinsic velocity dispersions. Values obtained for Hα are listed in Table 2.

Continuum-subtracted MUSE spectra integrated over Region-0 (upper) and Region-1 (lower); the red part at >7000 Å is not displayed. The vertical dashed lines label the most prominent nebular lines emitted from the ionized gas.
Figure 4.

Continuum-subtracted MUSE spectra integrated over Region-0 (upper) and Region-1 (lower); the red part at >7000 Å is not displayed. The vertical dashed lines label the most prominent nebular lines emitted from the ionized gas.

Table 2.

Parameters derived from the environmental analysis.

Molecular gasRegion-2UnitNote
CO (1-0) velocity-integrated –
line intensity FCO(1-0)0.15 ± 0.02Jy km s−1 –
CO (1-0) line central velocity vCO(1-0)4207 ± 4km s−1Barycentric frame
CO (1-0) line width |$\sigma _{v, \rm CO (1-0)}$|33 ± 4km s−1 –
CO (1-0) line luminosity LCO(1-0)1.4 ± 0.3× 106 K km s−1 pc2 –
Molecular gas mass Mmolecular6 ± 1× 106 M –
Ionized gasRegion-0Region-1UnitNote
Hα line wavelength-integrated flux F0.52 ± 0.032.56 ± 0.07× 10−15 erg s−1 cm−2 –
Hα line central velocity v4194.84180.1km s−1Barycentric frame
Hα line width σv, Hα18.217.6km s−1 –
Total extinction |$A_{\rm V}^{\rm tot}$|0.46 ± 0.070.44 ± 0.02magCorresponding to an internal
extinction of |$A_{\rm V}^{\rm int}$| ∼ 0.2 mag
Hα line luminosity L0.34 ± 0.051.64 ± 0.05× 1039 erg s−1 –
Electron density ne≲10≲10 –cm−3 –
Electron temperatrue Te<10 500<6700 –K –
Oxygen abundance 12 + log (O/H)8.44 ± 0.188.43 ± 0.18 –dexFrom the strong-line diagnostics
8.54 ± 0.118.53 ± 0.11dexFrom photoionization calculation
Nitrogen abundance 12 + log (N/H)7.59 ± 0.097.61 ± 0.10dex
Sulphur abundance 12 + log (S/H)6.95 ± 0.096.96 ± 0.10dex
Ionization parameter log (U)−3.16 ± 0.05−2.90 ± 0.07dex
Log-age of the ionising
sources log (t yr−1)6.63|$^{+0.09}_{-0.12}$|6.26 ± 0.07dex
Resolved starsRegion-0Region-1Unit
Mean log-age log (t yr−1)6.58 ± 0.076.39 ± 0.01dex
Log-age dispersion σlog (t yr−1)0.21|$_{-0.04}^{+0.07}$|0.01 ± 0.01dex
Mean internal extinction |$A_{\rm V}^{\rm int}$|0.6 ± 0.10.45 ± 0.07mag
Internal extinction dispersion |$\sigma _{A_{\rm V}^{\rm int}}$|0.05|$_{-0.02}^{+0.09}$|0.24|$_{-0.04}^{+0.07}$|mag
Possible star clustersRegion-1Unit
Internal extinction |$A_{\rm V}^{\rm int}$|∼0.7mag –
Log-mass log (M/M)∼4.7dex –
Stellar continuumRegion-0Region-1Unit –
Internal extinction |$A_{\rm V}^{\rm int}$|∼2.0∼1.5mag –
Total stellar mass Mstellar∼3∼3× 105 M –
Molecular gasRegion-2UnitNote
CO (1-0) velocity-integrated –
line intensity FCO(1-0)0.15 ± 0.02Jy km s−1 –
CO (1-0) line central velocity vCO(1-0)4207 ± 4km s−1Barycentric frame
CO (1-0) line width |$\sigma _{v, \rm CO (1-0)}$|33 ± 4km s−1 –
CO (1-0) line luminosity LCO(1-0)1.4 ± 0.3× 106 K km s−1 pc2 –
Molecular gas mass Mmolecular6 ± 1× 106 M –
Ionized gasRegion-0Region-1UnitNote
Hα line wavelength-integrated flux F0.52 ± 0.032.56 ± 0.07× 10−15 erg s−1 cm−2 –
Hα line central velocity v4194.84180.1km s−1Barycentric frame
Hα line width σv, Hα18.217.6km s−1 –
Total extinction |$A_{\rm V}^{\rm tot}$|0.46 ± 0.070.44 ± 0.02magCorresponding to an internal
extinction of |$A_{\rm V}^{\rm int}$| ∼ 0.2 mag
Hα line luminosity L0.34 ± 0.051.64 ± 0.05× 1039 erg s−1 –
Electron density ne≲10≲10 –cm−3 –
Electron temperatrue Te<10 500<6700 –K –
Oxygen abundance 12 + log (O/H)8.44 ± 0.188.43 ± 0.18 –dexFrom the strong-line diagnostics
8.54 ± 0.118.53 ± 0.11dexFrom photoionization calculation
Nitrogen abundance 12 + log (N/H)7.59 ± 0.097.61 ± 0.10dex
Sulphur abundance 12 + log (S/H)6.95 ± 0.096.96 ± 0.10dex
Ionization parameter log (U)−3.16 ± 0.05−2.90 ± 0.07dex
Log-age of the ionising
sources log (t yr−1)6.63|$^{+0.09}_{-0.12}$|6.26 ± 0.07dex
Resolved starsRegion-0Region-1Unit
Mean log-age log (t yr−1)6.58 ± 0.076.39 ± 0.01dex
Log-age dispersion σlog (t yr−1)0.21|$_{-0.04}^{+0.07}$|0.01 ± 0.01dex
Mean internal extinction |$A_{\rm V}^{\rm int}$|0.6 ± 0.10.45 ± 0.07mag
Internal extinction dispersion |$\sigma _{A_{\rm V}^{\rm int}}$|0.05|$_{-0.02}^{+0.09}$|0.24|$_{-0.04}^{+0.07}$|mag
Possible star clustersRegion-1Unit
Internal extinction |$A_{\rm V}^{\rm int}$|∼0.7mag –
Log-mass log (M/M)∼4.7dex –
Stellar continuumRegion-0Region-1Unit –
Internal extinction |$A_{\rm V}^{\rm int}$|∼2.0∼1.5mag –
Total stellar mass Mstellar∼3∼3× 105 M –
Table 2.

Parameters derived from the environmental analysis.

Molecular gasRegion-2UnitNote
CO (1-0) velocity-integrated –
line intensity FCO(1-0)0.15 ± 0.02Jy km s−1 –
CO (1-0) line central velocity vCO(1-0)4207 ± 4km s−1Barycentric frame
CO (1-0) line width |$\sigma _{v, \rm CO (1-0)}$|33 ± 4km s−1 –
CO (1-0) line luminosity LCO(1-0)1.4 ± 0.3× 106 K km s−1 pc2 –
Molecular gas mass Mmolecular6 ± 1× 106 M –
Ionized gasRegion-0Region-1UnitNote
Hα line wavelength-integrated flux F0.52 ± 0.032.56 ± 0.07× 10−15 erg s−1 cm−2 –
Hα line central velocity v4194.84180.1km s−1Barycentric frame
Hα line width σv, Hα18.217.6km s−1 –
Total extinction |$A_{\rm V}^{\rm tot}$|0.46 ± 0.070.44 ± 0.02magCorresponding to an internal
extinction of |$A_{\rm V}^{\rm int}$| ∼ 0.2 mag
Hα line luminosity L0.34 ± 0.051.64 ± 0.05× 1039 erg s−1 –
Electron density ne≲10≲10 –cm−3 –
Electron temperatrue Te<10 500<6700 –K –
Oxygen abundance 12 + log (O/H)8.44 ± 0.188.43 ± 0.18 –dexFrom the strong-line diagnostics
8.54 ± 0.118.53 ± 0.11dexFrom photoionization calculation
Nitrogen abundance 12 + log (N/H)7.59 ± 0.097.61 ± 0.10dex
Sulphur abundance 12 + log (S/H)6.95 ± 0.096.96 ± 0.10dex
Ionization parameter log (U)−3.16 ± 0.05−2.90 ± 0.07dex
Log-age of the ionising
sources log (t yr−1)6.63|$^{+0.09}_{-0.12}$|6.26 ± 0.07dex
Resolved starsRegion-0Region-1Unit
Mean log-age log (t yr−1)6.58 ± 0.076.39 ± 0.01dex
Log-age dispersion σlog (t yr−1)0.21|$_{-0.04}^{+0.07}$|0.01 ± 0.01dex
Mean internal extinction |$A_{\rm V}^{\rm int}$|0.6 ± 0.10.45 ± 0.07mag
Internal extinction dispersion |$\sigma _{A_{\rm V}^{\rm int}}$|0.05|$_{-0.02}^{+0.09}$|0.24|$_{-0.04}^{+0.07}$|mag
Possible star clustersRegion-1Unit
Internal extinction |$A_{\rm V}^{\rm int}$|∼0.7mag –
Log-mass log (M/M)∼4.7dex –
Stellar continuumRegion-0Region-1Unit –
Internal extinction |$A_{\rm V}^{\rm int}$|∼2.0∼1.5mag –
Total stellar mass Mstellar∼3∼3× 105 M –
Molecular gasRegion-2UnitNote
CO (1-0) velocity-integrated –
line intensity FCO(1-0)0.15 ± 0.02Jy km s−1 –
CO (1-0) line central velocity vCO(1-0)4207 ± 4km s−1Barycentric frame
CO (1-0) line width |$\sigma _{v, \rm CO (1-0)}$|33 ± 4km s−1 –
CO (1-0) line luminosity LCO(1-0)1.4 ± 0.3× 106 K km s−1 pc2 –
Molecular gas mass Mmolecular6 ± 1× 106 M –
Ionized gasRegion-0Region-1UnitNote
Hα line wavelength-integrated flux F0.52 ± 0.032.56 ± 0.07× 10−15 erg s−1 cm−2 –
Hα line central velocity v4194.84180.1km s−1Barycentric frame
Hα line width σv, Hα18.217.6km s−1 –
Total extinction |$A_{\rm V}^{\rm tot}$|0.46 ± 0.070.44 ± 0.02magCorresponding to an internal
extinction of |$A_{\rm V}^{\rm int}$| ∼ 0.2 mag
Hα line luminosity L0.34 ± 0.051.64 ± 0.05× 1039 erg s−1 –
Electron density ne≲10≲10 –cm−3 –
Electron temperatrue Te<10 500<6700 –K –
Oxygen abundance 12 + log (O/H)8.44 ± 0.188.43 ± 0.18 –dexFrom the strong-line diagnostics
8.54 ± 0.118.53 ± 0.11dexFrom photoionization calculation
Nitrogen abundance 12 + log (N/H)7.59 ± 0.097.61 ± 0.10dex
Sulphur abundance 12 + log (S/H)6.95 ± 0.096.96 ± 0.10dex
Ionization parameter log (U)−3.16 ± 0.05−2.90 ± 0.07dex
Log-age of the ionising
sources log (t yr−1)6.63|$^{+0.09}_{-0.12}$|6.26 ± 0.07dex
Resolved starsRegion-0Region-1Unit
Mean log-age log (t yr−1)6.58 ± 0.076.39 ± 0.01dex
Log-age dispersion σlog (t yr−1)0.21|$_{-0.04}^{+0.07}$|0.01 ± 0.01dex
Mean internal extinction |$A_{\rm V}^{\rm int}$|0.6 ± 0.10.45 ± 0.07mag
Internal extinction dispersion |$\sigma _{A_{\rm V}^{\rm int}}$|0.05|$_{-0.02}^{+0.09}$|0.24|$_{-0.04}^{+0.07}$|mag
Possible star clustersRegion-1Unit
Internal extinction |$A_{\rm V}^{\rm int}$|∼0.7mag –
Log-mass log (M/M)∼4.7dex –
Stellar continuumRegion-0Region-1Unit –
Internal extinction |$A_{\rm V}^{\rm int}$|∼2.0∼1.5mag –
Total stellar mass Mstellar∼3∼3× 105 M –

3.2.1 Extinction

With Balmer decrement, we determine total extinctions of |$A_{\rm V}^{\rm tot}$| = 0.46 ± 0.07 mag for Region-0 and 0.44 ± 0.02 for Region-1, assuming an intrinsic flux ratio of Hα/Hβ = 2.87 (Osterbrock & Ferland 2006) and a standard extinction law with RV = 3.1 (Fitzpatrick 2004). By subtracting the Galactic extinction (0.24 mag), these values correspond to an internal extinction of |$A_{\rm V}^{\rm int}$| ∼ 0.2 mag for the ionized gas in both regions, arising from dust within the host galaxy.

3.2.2 Hα luminosity

Using the above derived parameters, we calculate the extinction-corrected luminosities of Hα for the two regions. Large values of L(Hα) = 3.4 (± 0.5) × 1038and 1.64 (± 0.05) × 1039 erg s−1 are obtained for Region-0 and Region-1, respectively, with the latter even comparable to that of the 30 Dor mini-starburst region (3.9 × 1039 erg s−1; Kennicutt & Hodge 1986) within a factor of 2.

3.2.3 Electron density and temperature

The [S ii] λ6716/λ6731 line ratios (1.49 for Region-0 and 1.44 for Region-1) suggest that both regions have very low-electron densities of ne ≲ 10 cm−3 (Osterbrock & Ferland 2006). The emission-line ratios of [O i] (λ6300+λ6363)/λ5577 and [N ii] (λ6548 + λ6583)/λ5755 can be used to estimate electron temperature in ionized nebulae. Unfortunately, neither [O i] λ5577 nor [N ii] λ5755 are detected in the spectra; the detection limits constrain the electron temperature to be Te < 10 500 K and <6700 K for Region-0 and Region-1, respectively.

3.2.4 Oxygen abundance

We use the strong-line method to obtain a rough estimate of the oxygen abundance with the O3N2 calibration of Marino et al. (2013). 12 + log (O/H) = 8.44 (Region-0) and 8.43 (Region-1) are obtained, which are very close to each other. These values are slightly lower than those derived by Lyman et al. (2020) (8.57 and 8.66 based on a different calibration of Dopita et al. 2016), and we note that the strong-line method is subject to relatively large uncertainties (typically ∼0.18 dex). Our results suggest slightly subsolar abundances of [O/H] ∼ −0.25 adopting an absolute solar scale of 12 + log (O/H) = 8.69 (Asplund et al. 2009).

3.2.5 Ionising sources

We further carry out a detailed calculation of photoionization for Region-0 and Region-1 with the cloudy package (v17.02; Ferland et al. 1998). The method is very similar to that described in Sun et al. (2021, see also Xiao et al. 2019 and Sun, Maund & Crowther 2020). In brief, we assume that the ionising radiation comes from a stellar population of a single age log(t/yr), simulated with the bpass (v2.1) synthetic spectra including binaries (Eldridge et al. 2017), and that the ionized gas is a radiation-bounded shell (i.e. optically thick to the ionising photons). The intensity of the ionizing radiation is characterized by the ionization parameter
(3)
where Q(H) is the luminosity of the hydrogen-ionizing photons, r0 the inner radius of the shell, nH the hydrogen-atom number density (including all atoms in all forms of particles), and c is the speed of light. We assume relative-to-solar abundances of [M/H] = −0.25 for all heavy elements (i.e. same as the oxygen abundance estimated by the strong-line method), but allow the nitrogen, oxygen, and sulphur abundances to vary around this value with Gaussian-prior probability distributions (with a standard deviation of 0.18 dex, i.e. the typical uncertainty of the strong-line method). We use the default set of absolute solar composition in cloudy, in which the solar nitrogen, oxygen, and sulphur abundances are 12 + log (M/H) = 7.93, 8.69, and 7.27 (M = N, O, and S), respectively. A hydrogen-atom density of nH = 10 cm−3 is used and fixed in the calculation.

We then solve for log (t/yr), log U, [N/H], [O/H], and [S/H] by comparing the observed and predicted emission-line ratios of [O iii] λ5007/Hβ, [O i] λ6300/Hα, [N ii] λ6583/Hα, and [S ii] (λ6716+λ6731)/Hα (see Fig. 5 for their BPT and BPT-like diagrams). In doing this, we conservatively assume a 10 per cent uncertainty in the theoretical line fluxes. The results show that Region-0 has a very young ionising source age of log (t yr−1) = 6.63|$^{+0.09}_{-0.12}$| with an ionization parameter of log U = −3.16 ± 0.05. For Region-1, the ionising sources have an even younger age of log (t yr−1) = 6.26 ± 0.07, and higher ionization parameter of log U = −2.90 ± 0.07. The nitrogen, oxygen, and sulphur abundances are very similar between the two regions (values are all listed in Table 2).

BPT(-like) diagrams of the nebular emission-line ratios. The square and diamond symbols show the values measured for Region-0 and Region-1, respectively, and the error bars reflect their measurement uncertainties. The solid lines are theoretical values predicted by photoionization calculation (with chemical abundances matching the best-fitting values). The grey lines are loci with varying ionising source ages and fixed ionization parameters (values of log U are labeled next to the lines), while the coloured lines have fixed ionising source ages (according to the colour bar) and varying ionization parameters. Note that the relation is not always monolithic between the emission-line ratios and the ionising source ages.
Figure 5.

BPT(-like) diagrams of the nebular emission-line ratios. The square and diamond symbols show the values measured for Region-0 and Region-1, respectively, and the error bars reflect their measurement uncertainties. The solid lines are theoretical values predicted by photoionization calculation (with chemical abundances matching the best-fitting values). The grey lines are loci with varying ionising source ages and fixed ionization parameters (values of log U are labeled next to the lines), while the coloured lines have fixed ionising source ages (according to the colour bar) and varying ionization parameters. Note that the relation is not always monolithic between the emission-line ratios and the ionising source ages.

3.3 Stellar populations

3.3.1 Resolved stars

Fig. 6 shows the colour-magnitude diagrams (CMDs) of sources detected on the HST images. With a hierarchical Bayesian approach, we fit model stellar populations to the observed sources in order to derive their accurate parameters. Single stars in the model populations are simulated with the parsec (v1.2S Bressan et al. 2012) stellar isochrones, and the binaries are assumed to have composite fluxes equal to the simple sum of their primary and secondary stars7. The algorithm is detailed in Maund & Ramirez-Ruiz (2016) and Sun et al. (2021) and has been successfully applied in a number of studies (e.g. Maund 2017, 2018; Sun et al. 2022a; Sun, Maund & Crowther 2022). In this paper, we adopt the same model settings as in those previous works; the only exceptions are (1) only one model population is used to fit each region given the small number of detected sources; and (2) stars from the model population are assumed to have Gaussian distributions in log-age and internal extinction, whose mean values and standard deviations are all left as free parameters. For each region, there are four free parameters to be fitted: the mean log-age log (t yr−1), log-age dispersion σlog (t yr−1), mean internal extinction |$A_{\rm V}^{\rm int}$| and the internal extinction dispersion |$\sigma _{A_{\rm V}^{\rm int}}$|⁠. We use flat priors for the mean log-age and mean internal extinction; the dispersions are assumed to have uniform prior distributions on logarithmic scales over the ranges of 0 ≤ log [σlog (t yr−1)/(0.01 dex)] ≤ 2 and 0 ≤ log [|$\sigma _{A_{\rm V}^{\rm int}}$|/(0.01 mag)] ≤ 2, penalizing large values. The posterior probability distributions are then solved with the dynesty package (Speagle 2020).

CMDs of sources detected on the HST images (orange data points) in Region-0 (upper panels) and Region-1 (lower panels). The error bars reflect their 1σ photometric uncertainties, the dashed lines show the 50 per cent detection limits, and the grey-shaded regions show where ≤68 per cent of the artificial stars can be successfully recovered. Model stellar populations are fitted to the observed sources (see text); the thick blue lines are parsec (v1.2S; Bressan et al. 2012) single-stellar isochrones corresponding to the mean log-age and mean extinction derived from the fitting, and the thin blue lines are isochrones from 100 random realizations according to the stellar log-age and extinction distributions of the model populations. The red dots in the lower panels are 100 slug simulations of unresolved star clusters with the same mean log-age for Region-1. The arrows in the upper-left corners are reddening vectors for a standard extinction law with RV = 3.1, and their lengths correspond to the total (Galactic + internal) extinctions derived from the model population fitting. For comparison, the late-time source of AT2018cow at t = 714 d (detected by Sun et al. 2022b) is also displayed as the magenta data point in the upper panels, with error bars showing its 3σ photometric uncertainties.
Figure 6.

CMDs of sources detected on the HST images (orange data points) in Region-0 (upper panels) and Region-1 (lower panels). The error bars reflect their 1σ photometric uncertainties, the dashed lines show the 50 per cent detection limits, and the grey-shaded regions show where ≤68 per cent of the artificial stars can be successfully recovered. Model stellar populations are fitted to the observed sources (see text); the thick blue lines are parsec (v1.2S; Bressan et al. 2012) single-stellar isochrones corresponding to the mean log-age and mean extinction derived from the fitting, and the thin blue lines are isochrones from 100 random realizations according to the stellar log-age and extinction distributions of the model populations. The red dots in the lower panels are 100 slug simulations of unresolved star clusters with the same mean log-age for Region-1. The arrows in the upper-left corners are reddening vectors for a standard extinction law with RV = 3.1, and their lengths correspond to the total (Galactic + internal) extinctions derived from the model population fitting. For comparison, the late-time source of AT2018cow at t = 714 d (detected by Sun et al. 2022b) is also displayed as the magenta data point in the upper panels, with error bars showing its 3σ photometric uncertainties.

The fitting results are listed in Table 2 and shown as the isochrones in the CMDs. Region-0 has a mean log-age of log (t yr−1) = 6.58 ± 0.07, very close to that from photoionization calculation (6.63|$^{+0.09}_{-0.12}$|⁠; Section 3.2.5). The mean log-age derived for Region-1, log (t yr−1) = 6.39 ± 0.01, is slightly larger than that from photoionization calculation (6.26 ± 0.07; Section 3.2.5) but still within 2σ uncertainties. These results are obtained by assuming a standard extinction law with RV = 3.1; changing RV has very little influence on the derived ages.

On the other hand, the derived mean internal extinctions of |$A_{\rm V}^{\rm int}$| = 0.6 ± 0.1 mag for Region-0 and 0.45 ± 0.07 mag for Region-1 are larger than that for the ionized gas from Balmer decrement (which is ∼0.2 mag after removing a Galactic extinction of 0.24 mag). This difference possibly suggests that the observed stars and the ionized gas could be distributed at different places with respect to the dust along the line of sight (which shall be discussed later).

3.3.2 Possible star clusters

Some of the sources in Region-1 appear (marginally) brighter than the best-fitting isochrones, which could be binary/multiple stars and/or spatially-unresolved star clusters8. For comparison, we run 100 simulations of star clusters with the slug package (da Silva, Fumagalli & Krumholz 2012; Krumholz et al. 2015), accounting for the stochastic sampling effect of stellar masses from the initial mass function (IMF). The mean log-age derived by isochrone fitting (Section 3.3.1) is used as the cluster age (fixed), and we assume cluster masses of log(M/M) = 4.7 ± 0.1 and internal extinctions of 0.7 ± 0.3 mag. The simulated clusters are displayed as the red dots in the CMDs (Fig. 6), which agree well with the very bright sources observed in this region.

3.3.3 Stellar continuum

Fig. 7 shows the MUSE spectra integrated over Region-0 and Region-1 from the original data cube without continuum subtraction. In order to isolate the light from the young star-forming complexes, we use the spectrum from the nearby control field (at a similar galactic radius and without obvious star formation) to estimate the contributions from the older stellar populations. The control spectrum is scaled according to the region areas and subtracted from those of Region-0 and Region-1 to obtain cleaned spectra. Ideally, the continuum of the cleaned spectra should arise only from the young stellar populations in these two regions. We then fit the cleaned stellar continuum with synthetic spectra from the bpass (v2.1) binary population models. For each region, we use a single and fixed age9 as derived in Section 3.3.1, redden the synthetic spectrum with the Galactic and internal extinctions, and scale it to match the data.

The observed (blue), control (orange), and cleaned (green) spectra for Region-0 (upper panel) and Region-1 (lower panel). A 5-pixel median filter is applied to smooth the spectra. The black lines are the best-fitting model spectra to the cleaned stellar continuum. In the model spectra, the emission feature at 5808 Å arises from the Wolf–Rayet stars in the population.
Figure 7.

The observed (blue), control (orange), and cleaned (green) spectra for Region-0 (upper panel) and Region-1 (lower panel). A 5-pixel median filter is applied to smooth the spectra. The black lines are the best-fitting model spectra to the cleaned stellar continuum. In the model spectra, the emission feature at 5808 Å arises from the Wolf–Rayet stars in the population.

We find internal extinctions of |$A_{\rm V}^{\rm int}$| ∼ 2.0 mag for Region-0 and 1.5 mag for Region-1 are required to obtain reasonable fits of their stellar continuum. These values are much larger than those derived for the HST sources and shall be discussed later. The continuum fits derive a total (initial or current) stellar mass of ∼3 × 105 M for each of the two regions. This large value is comparable to that of 30 Dor’s ionizing cluster (4.5 × 105 M; Bosch, Terlevich & Terlevich 2009), and again confirms that Region-0 and Region-1 are very active star-forming regions.

3.4 A simple model of the environment

The above analysis shows AT2018cow’s local environment being very active in recent star formation. In brief summary, the environment includes: (1) a large concentration of molecular gas with a mass of 6 (± 1) × 106 M; (2) two active star-forming complexes, each with a stellar mass of ∼2 × 105 M; and (3) two giant H ii regions photoionized by the young stars. Based on the photoionization calculation (Section 3.2) and fitting of the resolved stars (Section 3.3), we adopt a final value of log (t yr−1) = 6.6 ± 0.1 or 4 ± 1 Myr as the stellar age estimate for Region-0 (with a conservative error bar accounting for the fitting errors and other possible uncertainties) and ≲2.5 Myr for Region-1. The two regions have very high Hα luminosities of 3.4 (± 0.5) × 1038 and 1.64 (± 0.05) × 1039 erg s−1, respectively. All these parameters support them to be 30 Dor-like mini-starburst regions.

It is worth noting that the internal extinctions derived for the different components are not the same. For Region-0, the value from the MUSE stellar continuum (⁠|$A_{\rm V}^{\rm int}$| = 2.0 mag) is much higher than that from the HST resolved sources (⁠|$A_{\rm V}^{\rm int}$| = 0.6 ± 0.1 mag). This could be due to a detection bias; while most of the stars may have large extinctions and give rise to a highly reddened continuum, only the most luminous and least extinct stars can be resolved as point sources on the HST images. The different (mean) extinctions may suggest they are located at different places along the line of sight, with most stars with high extinctions hiding behind the dust, and the few low-extinction ones statistically closer to the observer10.

The molecular gas should most likely reside in the background of the observed stars and ionized gas, since otherwise its large reservoir of dust would almost completely obscure any UV-optical light. From Balmer decrement, we derived an internal extinction of ∼0.2 mag for the ionised gas (Section 3.2), lower than those for the stellar continuum and resolved sources. This places the nebular line-emitting region in the foreground of the stars so that the lines are absorbed by a smaller amount of dust. It is likely that the H ii region ionized by the newly formed stars has broken out from the molecular gas, and is expanding outward to the observer (i.e. the champagne flow model; Tenorio-Tagle 1979). Fig. 2 (right) shows a schematic plot of the various components in this simple model of AT2018cow’s local environment.

4 IMPLICATIONS

4.1 The progenitor of AT2018cow

The above environmental analysis allows us to make useful implications on the progenitor of AT2018cow. Its local environment is a typical star-forming region and supports it being the explosion of a massive star (i.e. a young progenitor). It seems unlikely to be a tidal disruption event of a low-mass star (i.e. an old progenitor), since in this case AT2018cow could appear almost anywhere randomly in the galaxy. More precise constraints on the progenitor, however, require a correct identification of its relationship with the environmental components – in particular, whether the progenitor was a member of, and therefore has the same age as, the mini-starburst in Region-0, which AT2018cow is spatially coincident with on the sky plane.

4.1.1 Scenario 1: the progenitor was a member of the mini-starburst

If AT2018cow originated from the mini-starburst in Region-0, the very young age of 4 ± 1 Myr would imply a very massive progenitor for this transient. For single-star evolution, this age corresponds to a large initial mass of Mini = 66|$^{+47}_{-22}$| M, according to the parsec (v2.1S; Bressan et al. 2012) stellar isochrones. The initial mass could also be different if the progenitor has undergone significant binary interaction, such as merger or mass transfer with a companion.

It is worth noting, however, that the internal extinction for AT2018cow itself is close to zero. Its apparent colours at early times (t < 60 d) were very blue (BV ∼ −0.1 mag), suggesting negligible extinction from the host galaxy (Kuin et al. 2019; Perley et al. 2019; Xiang et al. 2021). This is also supported by the very hot SED of AT2018cow’s late-time brightness at t = 714 d (reported by Sun et al. 2022b), and we find that even a small amount of internal extinction would make a very hot blackbody spectrum redder than observations (especially at the UV wavelengths). Thus, AT2018cow’s internal extinction is lower than those for all the detected components along the same line of sight, including the ionized gas (0.2 mag), resolved stars (0.6 mag), and stellar continuum (2.0 mag).

The significant extinction difference between AT2018cow and the mini-starburst in Region-0 is of great interest. If AT2018cow was a member of the mini-starburst, the difference is possibly due to the very fractal spatial distribution of interstellar dust, such that AT2018cow happens to be obscured by no dust along the line of sight. This is, however, not supported by the very small extinction spread (0.05|$^{+0.09}_{-0.02}$| mag) derived for the resolved sources in Region-0 (Section 3.3.1). Another possibility is that the progenitor may have a very powerful wind, and have cleared any dust in the foreground before explosion. This requires the previous dust to be within striking distances at which the wind was strong enough to blow it away.

4.1.2 Scenario 2: the progenitor was not a member of the mini-starburst

The above-mentioned extinction difference is most easily explained if AT2018cow resides in the foreground of the mini-starburst in Region-0, such that they have different line-of-sight distributions relative to dust (see the illustration in Fig. 2). In this scenario, its progenitor is likely to arise from another star-forming event, which occurred at a different place, and at a different epoch from the observed mini-starburst. Given the large gas reservoir, self-propagating star formation is naturally expected, giving rise to young stars with different ages and locations in this area11 (such as in the 30 Dor region; Selman et al. 1999; Cignoni et al. 2015).

Since massive stars almost always form in groups, it is reasonable to assume a number of stars to have been formed together with the progenitor of AT2018cow from the same star-forming event. This stellar population therefore has the same age as the progenitor, and because they cannot have moved too far away from their birthplace (i.e. in the foreground of the mini-starburst of Region-0) during the short lifetime of a massive star, they should also have a similarly low internal extinction as AT2018cow.

Such a population is not detected on the HST images (Figs 1 and 2), and we try to constrain its age based on the detection limits. Fig. 8 shows the CMDs of stellar populations of log (t yr−1) = 6.9, 7.0, and 7.1, respectively, simulated with the parsec (v1.2S; Bressan et al. 2012) stellar isochrones, the Kroupa (2001) IMF, a 50 per cent (non-interacting) binary fraction, and a flat distribution of primary-to-secondary mass ratio; each population has an initial mass of 105 M, and is reddened with the Galactic extinction without any internal extinction (consistent with AT2018cow). It is clear that the population would be significantly detected if its age were younger than log (t yr−1) = 7.0 (i.e. 10 Myr). Therefore, we constrain the age of AT2018cow’s progenitor to be ≳10 Myr, corresponding to an initial stellar mass of Mini ≲ 20 M, if the progenitor followed single-star evolution or if the binary interaction have not affected its lifetime significantly.

CMDs of simulated stellar populations (orange data points) with different ages of log(t/yr) = 6.9, 7.0, and 7.1 (from left to right). The error bars reflect their 1σ photometric uncertainties, the dashed lines show the 50 per cent detection limits, and the grey-shaded regions show where ≤68 per cent of the artificial stars can be successfully recovered. The thick blue lines are parsec (v1.2S; Bressan et al. 2012) single-stellar isochrones. The arrows in the upper-left corners are reddening vectors for a standard extinction law with RV = 3.1, and their lengths correspond to the Galactic extinction (with no internal extinction from the host galaxy). All three model populations have no detected sources in the F225W and F336W filters, so only the optical CMDs are displayed.
Figure 8.

CMDs of simulated stellar populations (orange data points) with different ages of log(t/yr) = 6.9, 7.0, and 7.1 (from left to right). The error bars reflect their 1σ photometric uncertainties, the dashed lines show the 50 per cent detection limits, and the grey-shaded regions show where ≤68 per cent of the artificial stars can be successfully recovered. The thick blue lines are parsec (v1.2S; Bressan et al. 2012) single-stellar isochrones. The arrows in the upper-left corners are reddening vectors for a standard extinction law with RV = 3.1, and their lengths correspond to the Galactic extinction (with no internal extinction from the host galaxy). All three model populations have no detected sources in the F225W and F336W filters, so only the optical CMDs are displayed.

We cannot rule out the possibility that AT2018cow’s progenitor was born in a low-level star-forming event, and is not associated with any major stellar population. Future observations, with deeper detection limits, will help to test these scenarios, in particular if a separate foreground population can be identified.

4.2 The late-time brightness of AT2018cow

Sun et al. (2022b) reported a UV-bright late-time source at the position of AT2018cow on HST images taken at t = 714 and 1136 d, or 2–3 yr after explosion (i.e. the same data as used in this work; this source can also be seen in Fig. 1f). Its brightness is much higher than the simple extrapolation of the early-time light curves. The SED is consistent with the Rayleigh–Jeans tail of a very hot blackbody spectrum with temperature log (T/K) > 4.7 and luminosity log (L/L) > 7.0 (see also Fig. 10), and its optical F555W/F814W brightness is surprisingly stable within photometric uncertainties between the two epochs. Hα emission is also marginally detected. Sun et al. (2022b) explored the nature of this late-time source, considering the scenarios of an unrelated object in chance alignment, a companion star, the survived progenitor, the host star cluster, a light echo, or due to the late-time emission from AT2018cow itself generated by, e.g., ejecta-CSM interaction, magnetar spin-down, or accretion on to the black hole. They found that no simple models can explain all of the observed features.

The environmental analysis in this work suggests that the late-time source is not due to a stellar object. Although the stable F555W/F814W brightness is most easily explained with a star/star cluster, the source is far brighter at UV wavelengths than any other sources in Region-0 (see Fig. 6), and its close-to-zero internal extinction is inconsistent with the higher extinctions derived for the stars. Therefore, we can rule out this source being an object from the environment, at least at the UV wavelengths. Furthermore, Sun et al. (2022b) showed that if the source were a cluster (or a single star), it must be very young (and very massive) in order to account for the observed UV brightness12. This requires it to be even younger than the observed mini-starburst in Region-0, which seems to be very unlikely. In addition, if the late-time source were a close companion star of AT2018cow, the energy injection from ejecta-companion interaction may make it much more luminous than its pre-interaction state (Hirai, Podsiadlowski & Yamada 2018; Ogata, Hirai & Hijikawa 2021); however, the inflated companion will have a very low effective temperature, which is inconsistent with the observed very hot SED.

Sun et al. (2022b) disfavoured the late-time source as arising from a dust-scattered light echo, which is difficult to explain (1) the very blue SED (which is even bluer than AT2018cow at early times), (2) the very stable F555W/F814W magnitudes, and (3) the marginally detected Hα emission (which is not seen in AT2018cow’s featureless spectrum around peak brightness; Kuin et al. 2019; Perley et al. 2019; Xiang et al. 2021). Therefore, it seems that the brightness observed at 2–3 yr after explosion is most likely to originate from AT2018cow itself, which is somewhat surprising for a very ‘fast’ transient that rises to peak within a few days and declines dramatically in months.

During the writing of this paper, AT2018cow was observed by HST at a new epoch of t = 1475 d (2022 June 29) in the F225W, F336W, F555W, and F814W filters (Program ID: 16925: PI: Chen Y.). At this epoch, the late-time source of AT2018cow was still bright, and we performed its photometry with the dolphot package. The measured magnitudes are listed in Table 3, along with those at t = 714 and 1136 d (taken directly from Sun et al. 2022b), and displayed in Fig. 9 in comparison with the early light curves. It is clear that the late-time brightness of AT2018cow has declined from t = 714 to 1475 d, in particular in the UV filters with differences of ΔmF225W = 1.02 mag and ΔmF336W = 0.57 mag, much larger than the photometric uncertainties. The SEDs of the late-time source (Fig. 10) has also changed, from log (T/K) > 4.7 and log (L/L) > 7.0 at t = 714 d (Sun et al. 2022b) to log (T/K) ∼ 4.5 and log (L/L) ∼ 6.4 at t = 1475 d. These results support our conclusion that the late-time brightness is powered by AT2018cow itself due to some time-varying mechanisms. For example, Metzger (2022) proposed that this late-time brightness could arise from the thermal emission from the accretion disc around a black hole, whose effective temperature and luminosity are expected to slowly decline with time.

Late-time brightness of AT2018cow (filled circles) with error bars smaller than the symbol size. The solid lines are AT 2018cow’s early-time light curves reported by Perley et al. (2019) (with line thickness showing the photometric uncertainties), which have been converted into the HST filters and the Vega magnitude system (see Sun et al. 2022b). The dashed lines correspond to linear extrapolations of the light curve tails or the late-time brightness at t = 714 d.
Figure 9.

Late-time brightness of AT2018cow (filled circles) with error bars smaller than the symbol size. The solid lines are AT 2018cow’s early-time light curves reported by Perley et al. (2019) (with line thickness showing the photometric uncertainties), which have been converted into the HST filters and the Vega magnitude system (see Sun et al. 2022b). The dashed lines correspond to linear extrapolations of the light curve tails or the late-time brightness at t = 714 d.

AT2018cow’s early-time SEDs at t = 4 d (open triangles) and 50 d (open squares) and late-time SEDs at t = 714 d (blue filled circles) and t = 1475 d (red data points), all normalized to the F555W brightness at t = 714 d. The horizontal error bars correspond to the root-mean-square widths of the HST filters, and the vertical error bars reflect the 5σ photometric uncertainties. For comparison we show blackbody spectra of log (T/K) = 5.5 (blue line) and 4.5 (red line), all reddened with AT2018cow’s Galactic reddening and normalized to the F555W band.
Figure 10.

AT2018cow’s early-time SEDs at t = 4 d (open triangles) and 50 d (open squares) and late-time SEDs at t = 714 d (blue filled circles) and t = 1475 d (red data points), all normalized to the F555W brightness at t = 714 d. The horizontal error bars correspond to the root-mean-square widths of the HST filters, and the vertical error bars reflect the 5σ photometric uncertainties. For comparison we show blackbody spectra of log (T/K) = 5.5 (blue line) and 4.5 (red line), all reddened with AT2018cow’s Galactic reddening and normalized to the F555W band.

Table 3.

Late-time brightness of AT2018cow.

EpochF225WF336WF555WF814W
71422.55 (0.06)23.32 (0.05)25.64 (0.07)25.82 (0.19)
113625.63 (0.08)25.96 (0.24)
147523.57 (0.09)23.89 (0.05)25.86 (0.07)26.37 (0.20)
EpochF225WF336WF555WF814W
71422.55 (0.06)23.32 (0.05)25.64 (0.07)25.82 (0.19)
113625.63 (0.08)25.96 (0.24)
147523.57 (0.09)23.89 (0.05)25.86 (0.07)26.37 (0.20)
Table 3.

Late-time brightness of AT2018cow.

EpochF225WF336WF555WF814W
71422.55 (0.06)23.32 (0.05)25.64 (0.07)25.82 (0.19)
113625.63 (0.08)25.96 (0.24)
147523.57 (0.09)23.89 (0.05)25.86 (0.07)26.37 (0.20)
EpochF225WF336WF555WF814W
71422.55 (0.06)23.32 (0.05)25.64 (0.07)25.82 (0.19)
113625.63 (0.08)25.96 (0.24)
147523.57 (0.09)23.89 (0.05)25.86 (0.07)26.37 (0.20)

5 SUMMARY AND CONCLUSIONS

In this paper, we carry out a comprehensive environmental analysis of the FBOT AT2018cow using data observed by ALMA, VLT/MUSE, and HST/WFC3. The combined data set allows us to probe the molecular gas, ionized gas, and young stellar populations in the environment and investigate their relationship to AT2018cow.

The CO (1–0) line observed by ALMA reveals a prominent concentration of molecular gas in the vicinity of AT2018cow. It has a very large mass of 6 (± 1) × 106 M, and provides enough material for active star formation. The molecular gas is associated with two giant star-forming complexes (Region-0 and Region-1) rich in young massive stars/star clusters that have photoionized the surrounding gas.

By analysing the nebular emission lines and stellar continuum from the VLT/MUSE data cube, and the point sources spatially resolved on the HST/WFC3 images, we find Region-0 (or Region-1) has a very young age of 4 ± 1 Myr (or ≲2.5 Myr), a total stellar mass of 3 × 106 M (same for both regions), and an Hα luminosity of 3.4 (± 0.5) × 1038 erg s−1 [or 1.64 (± 0.05) × 1039 erg s−1]. All these parameters support both regions being mini-starbursts that resemble 30 Dor in the LMC.

The different internal extinctions measured for the components possibly suggest their different locations relative to dust along the line of sight. In this scenario, from the background to the foreground are the molecular gas, the majority of the newly formed stars that dominate the stellar continuum, the few most luminous, and least extinct stars that are spatially resolved as point sources followed by the ionized gas that has broken out from the molecular gas, and is possibly flowing toward the observer.

AT2018cow is spatially coincident with one of the mini-starbursts, Region-0. If its progenitor was a member of it and had the same age (4 ± 1 Myr), we derived a large initial mass of Mini = 66|$^{+47}_{-22}$| M if it followed single-star evolution or if binary interaction has not affected its lifetime. However, the close-to-zero internal extinction of AT2018cow is much smaller than that of the mini-starburst, and it seems more likely that its progenitor resides in the foreground, and was born in a different star-forming event. The non-detection of the associated stellar population constrains its age to be ≳10 Myr, corresponding to an initial mass of Mini ≲ 20 M assuming single-star evolution.

Finally, our environmental analysis shows that the late-time brightness of AT2018cow reported by Sun et al. (2022b) at ≥2 yr after explosion is unlikely to be a stellar source either from its environment or directly associated with AT2018cow (e.g. companion star, host star cluster, the survived progenitor, etc.). The brightness is most likely to arise from AT2018cow itself due to some powering mechanism working at very late times. This is also supported by the new epoch of HST observations showing that the late-time brightness has slightly declined from t = 714 to 1475 d.

ACKNOWLEDGEMENTS

We are grateful to Prof. Paul A. Crowther for the helpful discussion during this work. Research of N-CS and JRM is funded by the Science and Technology Facilities Council through grant ST/V000853/1, and IAJ is funded by the Sheffield Undergraduate Research Scheme. This paper is based on observations made with the NASA/ESA Hubble Space Telescope (Programs 15600, 15974, and 16179) and the Very Large Telescope at ESO (Program 0103.D-0440). This paper also makes use of the following ALMA data: ADS/JAO.ALMA# 2017.A.00045.T. ALMA is a partnership of ESO (representing its member states), NSF (USA), and NINS (Japan), together with NRC (Canada), MOST, ASIAA (Taiwan), and KASI (Republic of Korea), in co-operation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO, and NAOJ. The National Radio Astronomy Observatory is a facility of the National Science Foundation operated under cooperative agreement by Associated Universities, Inc.

DATA AVAILABILITY

All data are publicly available from the ALMA science archive (https://almascience.nrao.edu/), the ESO data archive (http://archive.eso.org/), and the Mikulski Archive for Space Telescopes (https://archive.stsci.edu/).

Footnotes

6

Note that the CO-to-H2 conversion factor does depend on metallicity and the value of Utomo et al. (2015) is for the molecular clouds in the Milky Way. Although the environment of AT2018cow has a slightly subsolar abundance of 12 + log (O/H) = 8.44 (see Section 3.2), the CO-to-H2 conversion factor at this metallicity is not significantly different (Leroy et al. 2011). The conversion factor becomes significantly larger at 12 + log (O/H) < 8.2 in the metal-poor galaxies such as NGC 6822 and the Small Magellanic Cloud.

7

Binary interaction could be common and important for massive stars, and the product from merger or mass transfer will be more massive and luminous, thus appear to be younger than its true age (e.g. Schneider et al. 2014; Stevance et al. 2020). This effect is not included in our modelling, which could possibly lead to an underestimation of the population ages. The ages we derived (see below), however, are very consistent with those from photoionization calculation, in which the interacting binaries have been included (Section 3.2.5). It is possible that the interacting binaries with very high masses, which would appear in the upper part of the CMDs and have the most impact on the fitting, are very rare and might be absent in the analysed regions due to stochastic sampling.

8

At the distance of AT2018cow, the PSF width of HST/WFC3 corresponds to ∼20 pc, much larger than the typical sizes of compact star clusters; therefore, it can be very difficult to distinguish stars, and star clusters based on source morphologies.

9

Note that the spectra of young populations are very close to the Rayleigh–Jeans law over the observed wavelengths, and hence are very insensitive to the assumed age.

10

Note that this statement is only statistically meaningful. The interstellar medium is usually very patchy, and the stars and dust are often intermingled with each other. For an individual star, a lower/higher extinction does not mean it must reside in the foreground/background. For a population of stars, however, those in the foreground/background will statistically have a lower/larger mean extinction.

11

The large size of this star-forming area also corresponds to a large age spread of star formation, as expected for hierarchical star formation regulated by turbulence (Efremov & Elmegreen 1998; Grasha et al. 2015, 2017a,b; Sun et al. 2017a,b, 2018; Miller et al. 2022).

12

However, even the hottest stars and youngest star clusters are still very difficult to match the very blue SED of the late-time source; see Fig. 3 of Sun et al. (2022b).

REFERENCES

ALMA Partnership
2017
, in
Asayama
S.
,
Biggs
A.
,
de Gregorio
I.
,
Dent
B.
,
Di Francesco
J.
,
Fomalont
E.
,
Hales
A.
,
Hibbard
J.
,
Marconi
G.
,
Kameno
S.
,
Vila Vilaro
B.
,
Villard
E.
,
Stoehr
F.
, eds,
ALMA Cycle 5 Technical Handbook
.

Anderson
J. P.
,
Habergham
S. M.
,
James
P. A.
,
Hamuy
M.
,
2012
,
MNRAS
,
424
,
1372

Arnett
W. D.
,
1982
,
ApJ
,
253
,
785

Asplund
M.
,
Grevesse
N.
,
Sauval
A. J.
,
Scot t
P.
,
2009
,
ARA&A
,
47
,
481

Bosch
G.
,
Terlevich
E.
,
Terlevich
R.
,
2009
,
AJ
,
137
,
3437

Bressan
A.
,
Marigo
P.
,
Girardi
L.
,
Salasnich
B.
,
Dal Cero
C.
,
Rubele
S.
,
Nanni
A.
,
2012
,
MNRAS
,
427
,
127

Bright
J. S.
et al. ,
2022
,
ApJ
,
926
,
112

Bruzual
G.
,
Charlot
S.
,
2003
,
MNRAS
,
344
,
1000

Cid Fernandes
R.
,
Mateus
A.
,
Sodré
L.
,
Stasińska
G.
,
Gomes
J. M.
,
2005
,
MNRAS
,
358
,
363

Cignoni
M.
et al. ,
2015
,
ApJ
,
811
,
76

Coppejans
D. L.
et al. ,
2020
,
ApJL
,
895
,
L23

da Silva
R. L.
,
Fumagalli
M.
,
Krumholz
M.
,
2012
,
ApJ
,
745
,
145

Dessart
L
,
Hillier
D. J.
,
Kuncarayakti
H.
,
2022
,
A&A
,
658
,
A130

Dolphin
A. E.
,
2000
,
PASP
,
112
,
1383

Dopita
M. A.
,
Kewley
L. J.
,
Sutherland
R. S.
,
Nicholls
D. C.
,
2016
,
Ap&SS
,
361
,
61

Drout
M. R.
et al. ,
2014
,
ApJ
,
794
,
23

Efremov
Y. N.
,
Elmegreen
B. G.
,
1998
,
MNRAS
,
299
,
588

Eldridge
J. J.
,
Stanway
E. R.
,
Xiao
L.
,
McClelland L
. A. S.
,
Taylor
G.
,
Ng
M.
,
Greis
S. M. L.
,
Bray
J. C.
,
2017
,
PASA
,
34
,
e058

Fang
K.
,
Metzger
B. D.
,
Murase
K.
,
Bartos
I.
,
Kotera
K.
,
2019
,
ApJ
,
878
,
34

Ferland
G. J.
,
Korista
K. T.
,
Verner
D. A.
,
Ferguson
J. W.
,
Kingdon
J. B.
,
Verner
E. M.
,
1998
,
PASP
,
110
,
761

Fitzpatrick
E. L.
,
2004
, in
Witt
A. N.
,
Clayton
G. C.
,
Dra ine
B. T.
, eds,
ASP Conf. Ser. Vol. 309
.
Astron. Soc. Pac
,
San Francisco
, p.
33

Fox
O. D.
,
Smith
N.
,
2019
,
MNRAS
,
488
,
3772

Gottlieb
O.
,
Tchekhovskoy
A.
,
Margutti
R.
,
2022
,
MNRAS
,
513
,
3810

Grasha
K.
et al. ,
2015
,
ApJ
,
815
,
93

Grasha
K.
et al. ,
2017
,
ApJ
,
840
,
113

Grasha
K.
et al. ,
2017
,
ApJ
,
842
,
25

Guérou
A.
et al. ,
2017
,
A&A
,
608
,
A5

Hirai
R.
,
Podsiadlowski
P.
,
Yamada
S.
,
2018
,
ApJ
,
864
,
119

Hosseinzadeh
G.
et al. ,
2017
,
ApJ
,
836
,
158

Ho
A. Y. Q.
et al. ,
2019
,
ApJ
,
871
,
73

Ho
A. Y. Q.
et al. ,
2020
,
ApJ
,
895
,
49

Ho
A. Y. Q.
et al. ,
2021
,
preprint (arXiv:2105.08811)

Huang
K.
et al. ,
2019
,
ApJL
,
878
,
L25

Kennicutt
R. C.
,
Hodge
P. W.
,
1986
,
ApJ
,
306
,
130

Kroupa
P.
,
2001
,
MNRAS
,
322
,
231

Krumholz
M. R.
,
Fumagalli
M.
,
da Silva
R. L.
,
Rendahl
T.
,
Parra
J.
,
2015
,
MNRAS
,
452
,
1447

Kuin
N. P. M.
et al. ,
2019
,
MNRAS
,
487
,
2505

Kuncarayakti
H.
et al. ,
2013
,
AJ
,
146
,
30

Kuncarayakti
H.
et al. ,
2013
,
AJ
,
146
,
31

Kuncarayakti
H.
et al. ,
2018
,
A&A
,
613
,
A35

Leroy
A. K.
et al. ,
2011
,
ApJ
,
737
,
12

Leung
S.-C.
,
Blinnikov
S.
,
Nomoto
K.
,
Baklanov
P.
,
Sorokina
E.
,
Tolstov
A.
,
2020
,
ApJ
,
903
,
66

Liu
L.-D.
,
Zhang
B.
,
Wang
L.-J.
,
Dai
Z.-G.
,
2018
,
ApJL
,
868
,
L24

Liu
J.-F.
,
Zhu
J.-P.
,
Liu
L.-D.
,
Yu
Y.-W.
,
Zhang
B.
,
2022
,
ApJL
,
935
,
L34

Lyman
J. D.
et al. ,
2018
,
MNRAS
,
473
,
1359

Lyman
J. D.
,
Galbany
L.
,
Sánchez
S. F.
,
Anderson
J. P.
,
Kuncarayakti
H.
,
Prieto
J. L.
,
2020
,
MNRAS
,
495
,
992

Margutti
R.
et al. ,
2019
,
ApJ
,
872
,
18

Marino
R. A.
et al. ,
2013
,
A&A
,
559
,
A114

Maund
J. R.
,
2017
,
MNRAS
,
469
,
2202

Maund
J. R.
,
2018
,
MNRAS
,
476
,
2629

Maund
J. R.
,
Ramirez-Ruiz
E.
,
2016
,
MNRAS
,
456
,
3175

Metzger
B. D.
,
2022
,
ApJ
,
932
,
84

Miller
A. E.
et al. ,
2022
,
MNRAS
,
512
,
1196

Mohan
P.
,
An
T.
,
Yang
J.
,
2020
,
ApJL
,
888
,
L24

Morokuma-Matsui
K.
2019
,
ApJL
,
879
,
L13

Nguyen-Luong
Q.
et al. ,
2016
,
ApJ
,
833
,
23

Ogata
M.
,
Hirai
R.
,
Hijikawa
K.
,
2021
,
MNRAS
,
505
,
2485

Osterbrock
D. E.
,
Ferland
G. J.
,
2006
,
Astrophysics of Gaseous Nebulae and Active Galactic Nuclei
, 2nd edn.
University Science Books
,
Sausalito, CA

Ott
J.
et al. ,
2008
,
PASA
,
25
,
129

Pasham
D. R.
et al. ,
2021
,
NatAs
,
6
,
249

Pastorello
A.
2007
,
Natur
,
447
,
829

Pastorello
A.
et al. ,
2008
,
MNRAS
,
389
,
113

Perley
D. A.
et al. ,
2019
,
MNRAS
,
484
,
1031

Prentice
S. J.
et al. ,
2018
,
ApJL
,
865
,
L3

Rest
A.
et al. ,
2018
,
NatAs
,
2
,
307

Schlafly
E. F.
,
Finkbeiner
D. P.
,
2011
,
ApJ
,
737
,
103

Schneider
F. R. N.
et al. ,
2014
,
ApJ
,
780
,
117

Selman
F.
,
Melnick
J.
,
Bosch
G.
,
Terlevich
R.
,
1999
,
A&A
,
347
,
532

Soker
N.
,
2022
,
RAA
,
22
,
055010

Speagle
J. S.
,
2020
,
MNRAS
,
493
,
3132

Stevance
H. F.
,
Eldridge
J. J.
,
McLeod
A.
,
Stanway
E. R.
,
Chrimes
A. A.
,
2020
,
MNRAS
,
498
,
1347

Sun
N.-C.
et al. ,
2017
,
ApJ
,
835
,
171

Sun
N.-C.
et al. ,
2017
,
ApJ
,
849
,
149

Sun
N.-C.
et al. ,
2018
,
ApJ
,
858
,
31

Sun
N.-C.
,
Maund
J. R.
,
Hirai
R.
,
Crowther
P. A.
,
Podsiadlowski
P.
,
2020
,
MNRAS
,
491
,
6000

Sun
N.-C.
,
Maund
J. R.
,
Crowther
P. A.
,
2020
,
MNRAS
,
497
,
5118

Sun
N.-C.
,
Maund
J. R.
,
Crowther
P. A.
,
Fang
X.
,
Zapartas
E.
,
2021
,
MNRAS
,
504
,
2253

Sun
N.-C.
,
Maund
J. R.
,
Crowther
P. A.
,
2022
,
preprint (arXiv:2209.05283)

Sun
N.-C.
,
Maund
J. R.
,
Crowther
P. A.
,
Hirai
R.
,
Kashapov
A.
,
Liu
J.-F.
,
Liu
L.-D.
,
Zapartas
E.
,
2022a
,
MNRAS
,
510
,
3701

Sun
N.-C.
,
Maund
J. R.
,
Crowther
P. A.
,
Liu
L.-D.
,
2022b
,
MNRAS
,
512
,
L66

Tenorio-Tagle
G.
,
1979
,
A&A
,
71
,
59

Utomo
D.
,
Blitz
L.
,
Davis
T.
,
Rosolowsky
E.
,
Bureau
M.
,
Cappellari
M.
,
Sarzi
M.
,
2015
,
ApJ
,
803
,
16

Wang
B.
,
Liu
D.
,
2020
,
RAA
,
20
,
135

Xiang
D.
et al. ,
2021
,
ApJ
,
910
,
42

Xiao
L.
,
Galbany
L.
,
Eldridge
J. J.
,
Stanway
E. R.
,
2019
,
MNRAS
,
482
,
384

Yao
Y.
et al. ,
2022
,
ApJ
,
934
,
104

This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://dbpia.nl.go.kr/journals/pages/open_access/funder_policies/chorus/standard_publication_model)