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The Type Ibn Supernova 2019kbj - Indications for Diversity in Type Ibn Supernova Progenitors

Tom Ben-Ami Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge, CB3 0HE, UK The School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel Iair Arcavi The School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel CIFAR Azrieli Global Scholars Program, CIFAR, Toronto, Canada Megan Newsome Department of Physics, University of California, Santa Barbara, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Joseph Farah Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Craig Pellegrino Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Giacomo Terreran Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Jamison Burke Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Griffin Hosseinzadeh Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USA Curtis McCully Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Daichi Hiramatsu Center for Astrophysics, Harvard & Smithsonian, 60 Garden Street, Cambridge, Ma 02138, USA The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, USA Estefania Padilla Gonzalez Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA D. Andrew Howell Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA Las Cumbres Observatory, 6740 Cortona Dr Ste 102, Goleta, CA 93117-5575, USA Iair Arcavi [email protected]
Abstract

Type Ibn supernovae (SNe) are a rare class of stellar explosions whose progenitor systems are not yet well determined. We present and analyze observations of the Type Ibn SN 2019kbj, and model its light curve in order to constrain its progenitor and explosion parameters. SN 2019kbj shows roughly constant temperature during the first month after peak, indicating a power source (likely interaction with circumstellar material) that keeps the continuum emission hot at 15,000\sim 15,000 K. Indeed, we find that the radioactive decay of 56Ni is disfavored as the sole power source of the bolometric light curve. A radioactive decay + circumstellar-material (CSM) interaction model, on the other hand, does reproduce the bolometric emission well. The fits prefer a uniform-density CSM shell rather than CSM due to a steady mass-loss wind, similar to what is seen in other Type Ibn SNe. The uniform-density CSM shell model requires 0.1M\sim 0.1M_{\odot} of 56Ni and 1M\sim 1M_{\odot} total ejecta mass to reproduce the light curve. SN 2019kbj differs in this manner from another Type Ibn SN with derived physical parameters, SN 2019uo, for which an order of magnitude lower 56Ni mass and larger ejecta mass were derived. This points toward a possible diversity in SN Ibn progenitor systems and explosions.

Supernovae (1668), Core-collapse supernovae (304), Massive Stars (732)
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1 Introduction

Type Ibn supernovae (SNe) are a rare class of stellar explosions characterized by a lack of hydrogen lines and the presence of narrow He I emission lines in their spectra (Pastorello et al., 2007). These events are thought to be SNe strongly interacting with H-poor, helium-rich circumstellar material (CSM; e.g. Smith, 2016, and references therein). Only a few dozen of such events are known (see Pastorello et al., 2016; Hosseinzadeh et al., 2017, for recent compilations), and their progenitor systems remain a mystery.

The H-rich analogs of Type Ibn events, (i.e. explosions interacting with a H-rich CSM), known as Type IIn SNe, show slowly evolving and diverse light curves (e.g. Kiewe et al., 2012). These traits are explained by the fact that CSM interaction injects extra luminosity through shocks, producing the observed prolonged emission, while diverse CSM density distributions produce the observed diversity in light-curve shapes. However, Hosseinzadeh et al. (2017) showed that many type Ibn SN light curves are strikingly similar and rapidly evolving, in contrast to the expectations from CSM-interaction-powered emission (but see also outliers to this uniformity discussed in Pastorello et al. 2016).

Even more puzzling is the discovery of a Type Ibn SN in a brightest cluster galaxy (Sanders et al., 2013), specifically in an environment with extremely low star formation, leading Hosseinzadeh et al. (2019) to conclude that some (if not all) Type Ibn SNe might not even be explosions of massive stars, as typically assumed.

Possible clues as to the progenitors of Type Ibn SNe can come from modeling their bolometric light curves. Gangopadhyay et al. (2020) fit the bolometric light curve of the Type Ibn SN 2019uo with the Chatzopoulos et al. (2012) model that includes luminosity from both 56Ni decay and CSM interaction (after disfavoring 56Ni decay as the sole power source). Their best fits require 16M\sim 16M_{\odot} of ejecta and just 0.01M0.01M_{\odot} of 56Ni, with most of the luminosity at peak coming from interaction of the ejecta with a few tenths of a solar mass of CSM. They favor a uniform-density shell, rather than a steady wind, for the distribution of the CSM. Pellegrino et al. (2022), on the other hand, find a much smaller ejecta mass (1M\sim 1M_{\odot}) for the same event, while finding a similar 56Ni mass, using the same models.

Here we present observations of SN 2019kbj, a well-observed member of the Type Ibn class, with multiband photometry and multiepoch spectroscopy. We analyze its light curve and spectra and model its bolometric light curve in a similar way to that of Gangopadhyay et al. 2020 for SN 2019uo to deduce its physical parameters. With this analysis we aim to increase the sample of Type Ibn events with deduced physical parameters. We assume the Planck18 (Planck Collaboration et al., 2020) cosmology throughout.

Table 1: Photometry of SN 2019kbj.
MJD Filter Magnitude Error Source
58663.49 cc <<19.89 ATLAS
58665.49 oo 18.38 0.080 ATLAS
58665.50 oo 18.17 0.078 ATLAS
58665.50 oo 18.27 0.067 ATLAS
58665.51 oo 18.14 0.059 ATLAS
58667.46 cc 17.60 0.033 ATLAS
58667.48 cc 17.64 0.034 ATLAS
58667.50 cc 17.61 0.033 ATLAS
58667.50 cc 17.55 0.028 ATLAS
58668.39 BB 17.44 0.018 Las Cumbres
58668.39 BB 17.36 0.009 Las Cumbres
58668.40 VV 17.55 0.013 Las Cumbres
58668.40 VV 17.55 0.013 Las Cumbres
58668.40 gg 17.30 0.006 Las Cumbres
58668.40 gg 17.30 0.006 Las Cumbres

Note. — This table is published in its entirety in machine-readable format. A portion is shown here for guidance regarding its form and content.

2 Discovery and Classification

SN 2019kbj was discovered on 2019 July 1 (UT used throughout) by the Asteroid Terrestrial-impact Last Alert System (ATLAS; Tonry et al., 2018) transient survey (Smith et al., 2020) as ATLAS19ohl (Tonry et al., 2019), at R.A. 01:00:39.619 and decl. +19:37:03.5 (J2000)111The event was independently discovered on 2019 July 27 by the Panoramic Survey Telescope And Rapid Response System (Pan-STARRS; Chambers et al., 2016) as PS19dzw.. A faint (absolute magnitude 17\sim-17) and blue host galaxy is seen in archival PS1 images (Flewelling et al., 2020) at this position.

The event was initially classified on 2019 July 3 by Hiramatsu et al. (2019) as a possible young Type II SN at a redshift of z=0.048z=0.048, based on the strong blue continuum, narrow H emission, and possible early flash-spectroscopy features (short-lived high-ionization emission lines indicative of a confined CSM; e.g. Khazov et al., 2016). However, it was later reclassified by Arcavi et al. (2022) as a Type Ibn SN based on narrow He I emission lines (and a lack of broad H features) seen in a spectrum taken one week later (the narrow H emission being attributed to the host galaxy rather than the SN). The redshift remained unrevised.

Table 2: Log of spectroscopic observations.
Date MJD Phase Telescope
(daysdays)
\DTMdate2019-07-02 58666.68 2.42-2.42 FTS 2m
\DTMdate2019-07-03 58667.49 1.61-1.61 FTN 2m
\DTMdate2019-07-04 58668.43 0.68-0.68 FTN 2m
\DTMdate2019-07-10 58674.43 5.325.32 FTN 2m
\DTMdate2019-07-13 58677.57 8.478.47 FTN 2m
\DTMdate2019-07-15 58679.52 10.4210.42 FTN 2m
\DTMdate2019-07-18 58682.48 13.3813.38 FTN 2m
\DTMdate2019-07-24 58688.56 19.4519.45 FTN 2m
\DTMdate2019-07-28 58692.47 23.3623.36 FTN 2m
\DTMdate2019-08-05 58700.52 31.4131.41 FTN 2m
\DTMdate2019-08-09 58704.53 35.4335.43 FTN 2m
\DTMdate2022-05-23 59722.52 Host FTN 2m
Refer to caption
Figure 1: Extinction-corrected multiband light curve of SN 2019kbj. Vertical red lines at the top indicate days when spectra were obtained. The arrow indicates the last nondetection 5σ5\sigma limit.

3 Observations and Data Reduction

We obtained BVgriBVgri-band imaging of SN 2019kbj with the Las Cumbres Observatory (Brown et al., 2013) Sinistro cameras mounted on the network of 1-meter telescopes at the Cerro Tololo Inter-American Observatory (Chile), the South African Astronomical Observatory (South Africa), the Siding Spring Observatory (Australia), and the McDonald Observatory (United States), through the Global Supernova Project, from 2019 July 4 to 2019 September 20. Reference images were obtained on 2021 December 31, long after the SN faded. Standard image-reduction procedures were applied by the Las Cumbres Beautiful Algorithms to Normalize Zillions of Astronomical Images (BANZAI) pipeline222https://github.com/LCOGT/banzai (McCully et al., 2018). We then performed image subtraction and point-spread function (PSF) fitting using the PyRAF-based lcogtsnpipe333https://github.com/LCOGT/lcogtsnpipe pipeline (Valenti et al., 2016), which uses the High Order Transform of PSF ANd Template Subtraction (HOTPANTS; Becker, 2015) implementation of the Alard & Lupton (1998) algorithm. BVBV-band magnitudes are calibrated to the Vega system, and grigri-band magnitudes to the AB system. We also obtained cc- and oo-band host-subtracted photometry of SN 2019kbj from the ATLAS Forced Photometry Server444https://fallingstar-data.com/forcedphot/ (Tonry et al., 2018; Smith et al., 2020). We find the last pre-explosion ATLAS 5σ\sigma nondetection limit to be on 2019 June 29 at a magnitude of 19.8919.89 in the cc band, constraining the explosion time to a window of only 22 days between 2019 June 29 and 2019 July 1.

We downloaded images of SN 2019kbj taken by the Ultraviolet Optical Telescope (UVOT; Roming et al. 2005) on board the Neil Gehrels Swift Observatory (Gehrels et al., 2004), obtained under a Target of Opportunity request (PI: Hiramatsu), from the High Energy Astrophysics Science Archive Research Center (HEASARC)555https://heasarc.gsfc.nasa.gov/. We performed aperture photometry with a 5\arcsec-radius circular region using the uvotsource package in HEAsoft v6.18, with version 20200925 of the calibration database (CALDB), following the standard guidelines from Brown et al. (2009). Host flux subtraction was performed using images taken on 2022 April 12 (PI: Grupe), long after the SN faded, following the prescriptions of Brown et al. (2014).

Table 3: Post-peak luminosity decline rates of SN 2019kbj in magnitudes per day. These values are typical for Type Ibn SNe.
BB gg VV oo rr ii
Decline rate 0.099 0.078 0.092 0.083 0.12 0.091
Error 0.003 0.031 0.003 0.006 0.004 0.005
Refer to caption
Figure 2: Absolute magnitude rr-band light curve of SN 2019kbj (black circles) compared to rr and RR-band light curves of other Type Ibn SNe and the Type Ibn SN rr-band template (shaded region) from Hosseinzadeh et al. (2017). SN 2019kbj fits well within the population of Ibn SNe. The data for ASASSN-14ms are taken from Wang et al. (2021), PTF11rfh, iPTF15ul, iPTF15akq, iPTF14aki and SN 2015U from Hosseinzadeh et al. (2017), OGLE12-006 from Pastorello et al. (2015b), PS1-12sk from Sanders et al. (2013), SN 2000er and SN 2002ao from Pastorello et al. (2008a), SN 2005la from Pastorello et al. (2008b), SN 2006jc from Pastorello et al. (2007, 2008a), SN 2010al and SN 2011hw from Pastorello et al. (2015a), SN2014av and SN 2014bk from Pastorello et al. (2016), SN 2015G from Foley et al. (2015) and SN 2019uo from Gangopadhyay et al. (2020).

We correct all photometry for Milky Way extinction using the Schlafly & Finkbeiner (2011) calibrations of the Schlegel et al. (1998) maps, retrieved via the NASA/IPAC Extragalactic Database (NED)666https://ned.ipac.caltech.edu/. For the ATLAS cc and oo bands we use extinction data for the gg and rr bands, respectively. We neglect extinction in the SN host galaxy, as we find no evidence for strong Na I D absorption in a spectrum taken of the host (see below). Our photometry is presented in Table 1 and in Figures 13.

We obtained 12 spectroscopic observations with the Las Cumbres Observatory Floyds spectrographs mounted on the 2-meter Faulkes Telescope North (FTN) and South (FTS) at Haleakala (United States) and Siding Spring (Australia) observatories, respectively, through the Global Supernova Project. Spectra were obtained through a 2″ slit placed on the SN along the parallactic angle (Filippenko, 1982). One-dimensional spectra were extracted, and flux and wavelength calibrated using the floyds_pipeline777https://github.com/LCOGT/floyds_pipeline (Valenti et al., 2013). One of the spectra is of the host galaxy, obtained long after the SN faded. A log of the spectroscopic measurements is given in Table 2. All SN spectra are presented in Figure 4. The host spectrum is presented in Figure 6.

4 Photometric Analysis

The multiband light curve of SN 2019kbj is shown in Figure 1. Using a parabolic fit to the rr-band data around peak (from MJD 58668.4 to 58677.1), we determine the peak date to be MJD 58670.1±0.2658670.1\pm 0.26, with an apparent peak magnitude of 17.67±0.2417.67\pm 0.24, corresponding to an absolute peak magnitude of 18.99±0.24-18.99\mathbf{\pm 0.24} (errors are from the parabolic fit).

We calculate the post-peak decline rate using a linear fit to the magnitudes between MJD 5867058670 and 5870058700 for each band (except the cc band for which there are not enough epochs). Our results are presented in Table 3. We find a decline rate in all bands similar to the typical rr-band 0.1 mag day-1 measured for Type Ibn SNe by Hosseinzadeh et al. (2017).

Comparing the rr-band light curve of SN 2019kbj to those of other Type Ibn SNe (Fig. 2), we find that it is rather typical and fits well within the template of Hosseinzadeh et al. (2017) around peak. SN 2019kbj shows excess emission compared to the template starting at around 20 days after peak, perhaps due to a larger amount of 56Ni compared to other events (see below).

The color evolution of SN 2019kbj is shown in Figure 3. Both its BrB-r and BVB-V colors are roughly constant, as seen also in other Type Ibn SNe. SN 2019kbj is one of the bluest Ibn’s in the sample.

Refer to caption
Figure 3: The color evolution of SN 2019kbj (black circles) compared to other Type Ibn SNe. SN 2019kbj shows constant colors, as do some other Type Ibn SNe. Colors, symbols and data sources are as in Figure 2.

5 Spectroscopic Analysis

Refer to caption
Refer to caption
Figure 4: Left: The spectral evolution of SN 2019kbj. Prominent spectral lines and days relative to peak luminosity are noted. Right: The spectrum of SN 2019kbj 5.3 days after peak compared to other Type Ibn SNe at similar phases (noted in days relative to peak).
Refer to caption Refer to caption Refer to caption Refer to caption Refer to caption
Figure 5: The He I 5015Å5015\text{\AA} and 5047Å5047\text{\AA} blend (dashed black lines) in SN 2019kbj, compared to other Type Ibn SNe, at various epochs. The top axis denotes the velocity relative to 5015Å5015\text{\AA}. All spectra are continuum subtracted. For each epoch, only spectra taken ±5 days compared to the phase of the spectra of SN 2019kbj are compared. The light blue dashed line denotes the O III 5007Å line (which we attribute to the host galaxy).

The spectroscopic evolution of SN 2019kbj is shown in the left panel of Figure 4. A blue continuum is seen in the early spectra, with no prominent flash-spectroscopy features. However, our earliest spectrum was obtained 2.41 days before peak, which is later than when flash features were observed in other Type Ibn events. In SN 2019uo (Gangopadhyay et al., 2020) prominent flash features were seen only up to 3.7 days before peak, while in SN 2010al (Pastorello et al., 2015a) flash features were seen 8 days before peak and disappeared four days later. Since our earliest spectrum is later than these times, we cannot rule out the existence of flash features for SN 2019kbj.

Prominent narrow He I emission lines can be seen throughout the evolution, together with Si II, Mg I and Ca II lines, which are seen in other Type Ibn SNe as well (right panel of Figure 4). A very prominent He I blend at 50155015 and 5047Å5047\text{\AA} develops shortly after peak. This blend is also seen in some other Type Ibn SNe (Fig. 5). It appears after peak, and at later times the 5047Å5047\text{\AA} component disappears. The 5015Å5015\text{\AA} component is further blended with O III 5007Å5007\text{\AA} which we attribute to the underlying host galaxy (Fig. 6).

Refer to caption
Figure 6: A spectrum of the SN host galaxy taken after the SN faded. Narrow Hα\alpha and O III, seen in also in the spectra taken while the SN was active, are present here and thus attributed to the host galaxy. No strong Na I D absorption is detected, indicating little or no host-galaxy extinction.

Narrow Hα\alpha emission is also seen in all epochs. This feature may be from the host galaxy or from H in the CSM surrounding the SN progenitor. Here, we attribute the narrow Hα\alpha emission to the host galaxy for a few reasons. First, it becomes stronger relative to other features as the SN fades. Additionally, it is seen in our host-galaxy spectrum (Fig. 6) and as an extended feature in the two-dimensional spectra of our SNe (an example two-dimensional spectrum is shown in Figure 7). Since the host and SN spectra were each taken under different seeing conditions and with different slit orientations, it is not possible to accurately isolate the amount of Hα\alpha or O III emission contributed by the host galaxy to each SN spectrum. Therefore, we can neither robustly associate nor rule out an association of a small amount of Hα\alpha or O III with the SN.

Refer to caption
Figure 7: The Hα\alpha region of the two-dimensional calibrated spectrum of SN 2019kbj taken on 2019 August 09, with the wavelength axis along the horizontal direction and the spatial axis along the vertical direction. The Hα\alpha line, marked with yellow arrows, is adjacent to a sky line but can be clearly seen as an extended emission feature. We thus attribute it to the host galaxy.

We measure expansion velocites from the He I 58765876, 66786678, and 7065Å7065\textrm{\AA} lines as was done for SN 2019uo by Gangopadhyay et al. (2020). We first normalize the spectra with a parabolic fit to the continuum and then model each He P Cygni absorption line with a Gaussian. The offset between the best-fit Gaussian center and the line rest-frame wavelength is then translated to an expansion velocity. Our results are shown in Figure 8. All lines show expansion velocities of a few 10310^{3} km s-1 which increase with time during the first \sim30 days after peak. This is the same behavior seen in the sample of Ibn SNe analyzed by Gangopadhyay et al. (2020) and references therein.

Refer to caption
Figure 8: He I expansion velocities measured from the P-cygni minima of each line. These velocities and their time evolution are similar to those seen in other Type Ibn SNe (Gangopadhyay et al., 2020, and references therein).

6 Light-curve Modeling

6.1 Blackbody Fits and Bolometric Light Curve

We fit the spectral energy distribution of each epoch to a blackbody using a Markov Chain Monte Carlo (MCMC) routine implemented via the lightcurve_fitting888https://github.com/griffin-h/lightcurve_fitting Python library (Hosseinzadeh & Gomez, 2020). We include only epochs with at least three distinct bands observed within one day and bin data taken within less than one day of each other. The best-fit blackbody temperature and radius for each epoch, together with the resulting bolometric luminosity, are presented in Figure 9 and Table 4. As expected from the roughly constant colors, the temperature is seen to be roughly constant at \sim15,000 K out to about a month after peak luminosity. These temperatures are low enough that we do not have to limit ourselves to epochs with ultraviolet coverage to ensure we are correctly sampling the blackbody spectrum (Arcavi, 2022).

We add a bolometric epoch prior to peak where we only have the single oo-band discovery detection, assuming the measured constant temperature can be extrapolated backward to that epoch. We assume a temperature of 14,984±65014,984\pm 650 K (the average temperature and its standard deviation from all subsequent epochs) to calculate a bolometric correction for the oo-band data point using the synphot999https://github.com/spacetelescope/synphot_refactor.git package (STScI Development Team, 2018). This epoch is presented with an empty symbol in Figures 911.

Table 4: Results of blackbody fits to the photometry of SN 2019kbj.
Phase Temperature Radius Luminosity
(daysdays) (KK) (1014cm10^{14}cm) (1043ergs110^{43}erg\,s^{-1})
-3.61 14984650+65014984_{-650}^{+650} 5.980.24+0.265.98_{-0.24}^{+0.26} 1.2850.245+0.2501.285_{-0.245}^{+0.250}
-0.7 1382480+8913824_{-80}^{+89} 11.890.09+0.0911.89_{-0.09}^{+0.09} 3.6810.103+0.1103.681_{-0.103}^{+0.110}
0.26 12626355+41112626_{-355}^{+411} 13.040.98+0.9313.04_{-0.98}^{+0.93} 3.0800.579+0.5943.080_{-0.579}^{+0.594}
1.26 16047274+28216047_{-274}^{+282} 9.760.19+0.199.76_{-0.19}^{+0.19} 4.4990.353+0.3614.499_{-0.353}^{+0.361}
2.0 13630178+17913630_{-178}^{+179} 10.890.26+0.2510.89_{-0.26}^{+0.25} 2.9150.205+0.2052.915_{-0.205}^{+0.205}
3.21 13248135+13813248_{-135}^{+138} 11.430.17+0.1811.43_{-0.17}^{+0.18} 2.8670.145+0.1482.867_{-0.145}^{+0.148}
4.98 15823384+36915823_{-384}^{+369} 8.910.22+0.258.91_{-0.22}^{+0.25} 3.5420.386+0.3853.542_{-0.386}^{+0.385}
6.68 14771353+40814771_{-353}^{+408} 9.110.29+0.289.11_{-0.29}^{+0.28} 2.8130.322+0.3542.813_{-0.322}^{+0.354}
8.0 13478271+31013478_{-271}^{+310} 9.010.26+0.249.01_{-0.26}^{+0.24} 1.9070.188+0.2031.907_{-0.188}^{+0.203}
9.13 17336737+80317336_{-737}^{+803} 6.350.30+0.316.35_{-0.30}^{+0.31} 2.5910.505+0.5422.591_{-0.505}^{+0.542}
10.21 17143634+68917143_{-634}^{+689} 6.130.25+0.266.13_{-0.25}^{+0.26} 2.3130.391+0.4202.313_{-0.391}^{+0.420}
13.22 187281388+182818728_{-1388}^{+1828} 4.850.42+0.404.85_{-0.42}^{+0.40} 2.0630.710+0.8752.063_{-0.710}^{+0.875}
17.6 195871451+208319587_{-1451}^{+2083} 3.850.36+0.323.85_{-0.36}^{+0.32} 1.5570.544+0.7101.557_{-0.544}^{+0.710}
19.26 184111496+187618411_{-1496}^{+1876} 3.460.32+0.333.46_{-0.32}^{+0.33} 0.9830.367+0.4410.983_{-0.367}^{+0.441}
20.32 190271822+211919027_{-1822}^{+2119} 3.520.35+0.393.52_{-0.35}^{+0.39} 1.1540.499+0.5741.154_{-0.499}^{+0.574}
24.11 9946304+2879946_{-304}^{+287} 6.920.37+0.386.92_{-0.37}^{+0.38} 0.3340.054+0.0530.334_{-0.054}^{+0.053}
28.31 11602996+133011602_{-996}^{+1330} 4.670.68+0.704.67_{-0.68}^{+0.70} 0.2820.127+0.1540.282_{-0.127}^{+0.154}
32.33 107191083+151710719_{-1083}^{+1517} 4.490.79+0.824.49_{-0.79}^{+0.82} 0.1890.102+0.1280.189_{-0.102}^{+0.128}
36.28 137753247+532613775_{-3247}^{+5326} 2.881.00+1.322.88_{-1.00}^{+1.32} 0.2130.250+0.3830.213_{-0.250}^{+0.383}

Note. — For the first epoch, where only one band is available, we assume the temperature to be equal to the average temperature during the rest of the evolution, and use our single-band data at that epoch to constrain the radius and hence bolometric luminosity there.

Refer to caption
Figure 9: The blackbody temperature, radius, and inferred bolometric luminosity of SN 2019kbj. For the first epoch (empty symbol), where only one band is available, we assume the temperature to be equal to the average temperature during the rest of the evolution, and use our single-band data at that epoch to constrain the radius and hence bolometric luminosity there. The unbinned data are shown in black semitransparent points.

6.2 Modeling the Bolometric Light Curve

We fit the bolometric light curve of SN 2019kbj to two models: the radioactive decay model from Arnett (1982), Valenti et al. (2007), and Chatzopoulos et al. (2012), and the radioactive decay model with additional CSM-interaction power from Chevalier (1982) and Chatzopoulos et al. (2012). Each model is fit to the data using the Bolometric_Modelling101010https://github.com/Tomariebenami/Bolometric_Modelling module (Ben-Ami, 2022).

6.2.1 Radioactive Decay Model

The radioactive decay model assumes that the bolometric luminosity is powered solely by the radioactive decay of 56Ni to 56Co to 56Fe with γ\gamma-ray leakage taken into consideration (Valenti et al., 2007; Chatzopoulos et al., 2012). The luminosity is given by

L(t)\displaystyle L(t) =\displaystyle= MNitmettm\displaystyle\frac{M_{Ni}}{t_{m}}e^{\frac{t}{t_{m}}} (1)
×\displaystyle\times [(ϵCoϵNi)0xB(z)𝑑z+ϵCo0xC(z)𝑑z]\displaystyle\left[\left(\epsilon_{Co}-\epsilon_{Ni}\right)\int_{0}^{x}B(z)\,dz+\epsilon_{Co}\int_{0}^{x}C(z)\,dz\right]
×\displaystyle\times (1eAt2)\displaystyle\left(1-e^{At^{-2}}\right)

where the free parameters are the ejecta mass MejM_{ej}, the 56Ni mass MNiM_{Ni}, the characteristic ejecta velocity vejv_{ej}, and the optical opacity κopt\kappa_{opt} (we also fit for the explosion time relative to the peak, t0t_{0}). ϵNi=3.90×109\epsilon_{Ni}=3.90\times 10^{9} erg s-1 g-1 and ϵCo=6.78×109\epsilon_{Co}=6.78\times 10^{9} erg s-1 g-1 are the energy-generation rates of the decays of 56Ni and 56Co respectively (Sutherland & Wheeler, 1984; Cappellaro et al., 1997). The integrands B(z)=2ze2zy+z2B(z)=2ze^{-2zy+z^{2}} and C(z)=2ze2zy+2zs+z2C(z)=2ze^{-2zy+2zs+z^{2}} are the luminosity outputs of the decays of 56Ni and 56Co, with y=tm/2τNiy=t_{m}/2\tau_{Ni} and s=tm(τCoτNi)/(2τCoτNi)s=t_{m}(\tau_{Co}-\tau_{Ni})/(2\tau_{Co}\tau_{Ni}). Both integrals are evaluated up to x=t/tmx=t/t_{m} with

tm=(κoptβc)1/2(20Mej23vej2)1/4t_{m}=\left(\frac{\kappa_{opt}}{\beta c}\right)^{1/2}\left(\frac{20M_{ej}^{2}}{3v_{ej}^{2}}\right)^{1/4} (2)

defined as the light curve timescale, and τNi=8.8\tau_{Ni}=8.8 days and τCo=111.3\tau_{Co}=111.3 days the respective decay lifetimes (e.g. Nadyozhin, 1994). Finally,

A=3κγMej4πvej2A=\frac{3\kappa_{\gamma}M_{ej}}{4\pi v_{ej}^{2}} (3)

is the γ\gamma-ray leakage factor. We set the γ\gamma-ray opacity, κγ\kappa_{\gamma}, to 0.0270.027 cm2g-1 following Swartz et al. (1995) and Cappellaro et al. (1997).

We use the MCMC fitting method, implemented through the emcee package (Foreman-Mackey et al., 2013), with 500 burn-in steps, followed by 8,000 fitting steps with 150 walkers. We limit the 56Ni mass to be less than the total ejecta mass and use a very broad ejecta velocity (vejv_{ej}) prior, since otherwise the fit prefers an unphysical solution with more 56Ni than total ejecta mass (see Table 9 in Appendix B.1; a similar result was obtained for the extremely luminous Ibn SN ASASSN-14ms by Vallely et al. 2018 and Wang et al. 2021).

Our fit is shown in Figure 10 and the best-fit parameters are given in Table 5. The corner plot of the fit is shown in Figure 13 in Appendix B. Although we find a reasonable fit to the data, it requires a very high ejecta velocity (of order 60,000 km s-1), which is not typically seen in any type of SN. In addition, it requires a large 56Ni mass of \sim0.8 MM_{\odot}, which is also not typical of core-collapse SNe. The ejecta mass remains unconstrained within the prior bounds. We conclude that radioactive decay is disfavored as the sole power source of the light curve of SN 2019kbj.

Given the long-lived blue continuum and narrow He lines in Type Ibn SNe, CSM interaction is a most likely additional source of power.

Refer to caption
Figure 10: Radioactive decay model (100 lines, chosen at random from the MCMC walker distribution) compared to the bolometric light curve of SN 2019kbj (binned data in opaque points, unbinned data in semitransparent points).
Table 5: Best-fit parameters for the radioactive decay model.
MNiM_{Ni} MejM_{ej} vejv_{ej} κopt\kappa_{opt} t0t_{0}
(MM_{\odot}) (MM_{\odot}) (103kms110^{3}km\,s^{-1}) (cm2g1cm^{2}g^{-1}) (daysdays)
0.7760.0150.0160.776_{-0.015}^{0.016} 10.086.606.7510.08_{-6.60}^{6.75} 59.0524.3417.2059.05_{-24.34}^{17.20} 0.00400.00100.00280.0040_{-0.0010}^{0.0028} 5.320.170.16-5.32_{-0.17}^{0.16}

6.2.2 Radioactive Decay + Circumstellar Material Interaction Model

We next fit a radioactive decay model with additional CSM-interaction power as formulated by Chevalier (1982) and Chatzopoulos et al. (2012). In this model the CSM density, ρcsm\rho_{csm}, is described by a power law, ρcsm=qrs\rho_{csm}=qr^{-s}. The ejecta distribution is described by two power laws, ρejrδ\rho_{ej}\propto r^{-\delta} for rr smaller than a critical normalized radius x0x_{0}, and ρejrn\rho_{ej}\propto r^{-n} for rr larger than x0x_{0}. The total SN luminosity in this model is given by (Chatzopoulos et al., 2012)

L(t)=1t0ett00tett0[2π(ns)3)gn5snsqn5ns(n3)2(n5)×βF(5s)A5sns(tti)2n+6sns15nsθ(tFS,BOt)+2π(Agnq)5nnsβR5ngn(3sns)×(t+ti)2n+6sns15nsθ(tRS,t)]+1t0ett0×0tett0MNi[(ϵNiϵCo)ettNi+ϵCoettCo]dt\begin{split}L(t)&=\frac{1}{t_{0}}e^{-\frac{t}{t_{0}}}\int_{0}^{t}e^{\frac{t^{\prime}}{t_{0}}}[\frac{2\pi}{(n-s)^{3})}g^{n\frac{5-s}{n-s}}q^{\frac{n-5}{n-s}}(n-3)^{2}(n-5)\\ &\times\beta_{F}^{(5-s)}A^{\frac{5-s}{n-s}}(t^{\prime}-t_{i})^{\frac{2n+6s-ns-15}{n-s}}\theta(t_{FS,BO}-t^{\prime})\\ &+2\pi\left(\frac{Ag^{n}}{q}\right)^{\frac{5-n}{n-s}}\beta_{R}^{5-n}g^{n}\left(\frac{3-s}{n-s}\right)\\ &\times(t^{\prime}+t_{i})^{\frac{2n+6s-ns-15}{n-s}}\theta(t_{RS,*}-t^{\prime})]\\ &+\frac{1}{t^{\prime}_{0}}e^{-\frac{t}{t^{\prime}_{0}}}\\ &\times\int_{0}^{t}e^{\frac{t^{\prime}}{t^{\prime}_{0}}}M_{Ni}\left[(\epsilon_{Ni}-\epsilon_{Co})e^{-\frac{t^{\prime}}{t_{Ni}}}+\epsilon_{Co}e^{-\frac{t^{\prime}}{t_{Co}}}\right]dt^{\prime}\end{split} (4)

The model has 10 free parameters (in addition to the density power-law indices ss, δ\delta and nn, which we fix): the ejecta mass MejM_{ej}, the 56Ni mass MNiM_{Ni}, the CSM mass MCSMM_{CSM}, the characteristic ejecta velocity vejv_{ej}, the density of the CSM shell, ρCSM,in\rho_{CSM,in}, at its innermost radius rinr_{in} (q=ρCSM,inrinsq=\rho_{CSM,in}r_{in}^{s}), the efficiency of converting shock energy to luminosity ϵ\epsilon, the normalized radius at which the ejecta power law switches indices x0x_{0}, the optical opacity κopt\kappa_{opt}, and the explosion time t0t_{0}, relative to peak time.

In addition to the free parameters, θ(tFSt)\theta(t_{FS}-t) and θ(tRSt)\theta(t_{RS}-t) are Heaviside step functions corresponding to the termination of the forward and reverse shock waves at times tFSt_{FS} and tRSt_{RS}, respectively, which are dictated by the free parameters (see Chatzopoulos et al. 2012 and Chevalier 1982 for the full details), g(n,δ,Mej,vej)g(n,\delta,M_{ej},v_{ej}) is a scaling parameter for the ejecta density, and βR\beta_{R}, βF\beta_{F} and AA are all constants found in Chevalier (1982). All parameters related to the radioactive decay component (the second integral in Equation 4) are identical to those of the radioactive decay model described in Section 6.2.1.

Here, we study two cases: s=0s=0 (a uniform-density CSM shell) and s=2s=2 (CSM due to a steady mass-loss wind). For each case, we test both δ=0\delta=0 and δ=2\delta=2, which are values typically assumed for the inner density profile in SNe (Chatzopoulos et al., 2012). As for the outer density profile, nn, previous works used n=10n=10 and n=12n=12 (Gangopadhyay et al., 2020; Pellegrino et al., 2022). However, Chatzopoulos et al. (2012) mention that n=11.7n=11.7 corresponds to red supergiant progenitors (Matzner & McKee, 1999), while more compact stars (such as the stripped-envelope progenitors expected for Type Ibn SNe) are characterized by lower values of nn. Therefore, n=12n=12 is probably not appropriate for Type Ibn SN progenitors, and even n=10n=10 might be too high. Chevalier (1981, 1982) find that n=7n=7 is able to reproduce light curves of Type Ia supernovae from white dwarf progenitors. Therefore the true value of nn for Type Ibn progenitors is possibly somewhere between 7 and 10. Here we test both edge values. In summary we test all combinations of n=7,10n=7,10, s=0,2s=0,2, and δ=0,2\delta=0,2.

Given the large number of parameters, we fit each case using the dynamic nested sampling method as implemented by the DYNESTY Python package (Speagle, 2020). We use uniform and log-uniform priors, as detailed in Appendix A. We require the 56Ni mass to be less than the total ejecta mass in all fits.

Our fits are shown in Figure 11, best-fit parameters given in Table 6, and corner plots are shown in Figures 1421 in Appendix B.

Table 6: Best-fit parameters for the radioactive decay + CSM interaction model.
nn ss δ\delta MejM_{ej} MNiM_{Ni} McsmM_{csm} vejv_{ej} ρcsm,in\rho_{csm,in} rinr_{in} ϵ\epsilon x0x_{0} κopt\kappa_{opt} t0t_{0}
(MM_{\odot}) (MM_{\odot}) (MM_{\odot}) (103kms110^{3}km\,s^{-1}) (1012gcm310^{-12}g\,cm^{-3}) (1014cm10^{14}\,cm) (cm2g1cm^{2}g^{-1}) (daysdays)
7 0 0 0.760.38+0.420.76_{-0.38}^{+0.42} 0.080.03+0.030.08_{-0.03}^{+0.03} 0.130.06+0.070.13_{-0.06}^{+0.07} 9.342.22+5.339.34_{-2.22}^{+5.33} 0.930.65+1.990.93_{-0.65}^{+1.99} 9.205.23+8.999.20_{-5.23}^{+8.99} 0.560.24+0.230.56_{-0.24}^{+0.23} 0.600.17+0.270.60_{-0.17}^{+0.27} 0.790.23+0.150.79_{-0.23}^{+0.15} 4.620.17+0.19-4.62_{-0.17}^{+0.19}
2 0.780.28+0.390.78_{-0.28}^{+0.39} 0.080.03+0.020.08_{-0.03}^{+0.02} 0.130.04+0.060.13_{-0.04}^{+0.06} 14.584.33+3.0114.58_{-4.33}^{+3.01} 0.730.55+1.810.73_{-0.55}^{+1.81} 10.596.10+5.9110.59_{-6.10}^{+5.91} 0.460.28+0.360.46_{-0.28}^{+0.36} 0.570.17+0.240.57_{-0.17}^{+0.24} 0.780.26+0.150.78_{-0.26}^{+0.15} 4.630.16+0.15-4.63_{-0.16}^{+0.15}
2 0 0.420.10+0.090.42_{-0.10}^{+0.09} 0.230.03+0.030.23_{-0.03}^{+0.03} 0.290.13+0.120.29_{-0.13}^{+0.12} 14.022.15+1.8014.02_{-2.15}^{+1.80} 0.110.08+0.100.11_{-0.08}^{+0.10} 5.171.41+3.625.17_{-1.41}^{+3.62} 0.190.06+0.100.19_{-0.06}^{+0.10} 0.220.05+0.060.22_{-0.05}^{+0.06} 0.210.07+0.150.21_{-0.07}^{+0.15} 3.970.07+0.12-3.97_{-0.07}^{+0.12}
2 0.280.05+0.110.28_{-0.05}^{+0.11} 0.220.04+0.040.22_{-0.04}^{+0.04} 0.120.02+0.050.12_{-0.02}^{+0.05} 13.004.08+4.9513.00_{-4.08}^{+4.95} 0.130.11+0.190.13_{-0.11}^{+0.19} 3.171.35+5.213.17_{-1.35}^{+5.21} 0.410.14+0.160.41_{-0.14}^{+0.16} 0.250.07+0.190.25_{-0.07}^{+0.19} 0.660.29+0.210.66_{-0.29}^{+0.21} 3.970.10+0.14-3.97_{-0.10}^{+0.14}
10 0 0 1.190.31+0.571.19_{-0.31}^{+0.57} 0.100.04+0.050.10_{-0.04}^{+0.05} 0.060.02+0.030.06_{-0.02}^{+0.03} 11.253.18+4.3211.25_{-3.18}^{+4.32} 0.760.49+1.450.76_{-0.49}^{+1.45} 3.922.53+3.203.92_{-2.53}^{+3.20} 0.610.25+0.260.61_{-0.25}^{+0.26} 0.540.22+0.210.54_{-0.22}^{+0.21} 0.760.19+0.170.76_{-0.19}^{+0.17} 4.950.35+0.22-4.95_{-0.35}^{+0.22}
2 1.420.52+0.941.42_{-0.52}^{+0.94} 0.100.03+0.040.10_{-0.03}^{+0.04} 0.070.02+0.040.07_{-0.02}^{+0.04} 11.873.84+4.1811.87_{-3.84}^{+4.18} 0.650.39+1.750.65_{-0.39}^{+1.75} 4.522.60+4.564.52_{-2.60}^{+4.56} 0.460.22+0.300.46_{-0.22}^{+0.30} 0.610.20+0.210.61_{-0.20}^{+0.21} 0.780.23+0.150.78_{-0.23}^{+0.15} 4.950.27+0.22-4.95_{-0.27}^{+0.22}
2 0 0.260.02+0.030.26_{-0.02}^{+0.03} 0.230.02+0.010.23_{-0.02}^{+0.01} 0.210.03+0.030.21_{-0.03}^{+0.03} 13.530.94+2.8013.53_{-0.94}^{+2.80} 1.200.98+0.531.20_{-0.98}^{+0.53} 1.720.21+1.271.72_{-0.21}^{+1.27} 0.610.15+0.080.61_{-0.15}^{+0.08} 0.450.04+0.120.45_{-0.04}^{+0.12} 0.140.03+0.130.14_{-0.03}^{+0.13} 3.950.05+0.05-3.95_{-0.05}^{+0.05}
2 0.230.02+0.040.23_{-0.02}^{+0.04} 0.210.02+0.020.21_{-0.02}^{+0.02} 0.080.01+0.020.08_{-0.01}^{+0.02} 16.053.32+0.9516.05_{-3.32}^{+0.95} 0.600.36+0.290.60_{-0.36}^{+0.29} 1.320.15+0.651.32_{-0.15}^{+0.65} 0.960.08+0.030.96_{-0.08}^{+0.03} 0.480.04+0.190.48_{-0.04}^{+0.19} 0.540.13+0.130.54_{-0.13}^{+0.13} 3.920.06+0.06-3.92_{-0.06}^{+0.06}
Refer to caption
Figure 11: Radioactive-decay + CSM interaction model (50 lines, chosen at random from the sampler’s distribution) compared to the bolometric light curve of SN 2019kbj (binned data in opaque points, un-binned data in semi-transparent points) for different values of the fixed parameters. For the n=7,s=2n=7,\,s=2 cases, the reverse shock contribution is 1040erg/s1\lesssim 10^{40}erg/\,s^{-1}, and is not shown. Small bumps seen in some models at \sim30 days are numerical artifacts from the integration.

7 Discussion

SN 2019kbj is photometrically and spectroscopically similar to other Type Ibn SNe, with a post-peak luminosity decline rate that is similar to that of the average Type Ibn light curve (Fig. 2).

The blackbody temperature of SN 2019kbj is relatively constant around 15,00015,000 K, in contrast to the cooling seen in H-rich Type II SNe, for example (e.g. Valenti et al., 2014). This indicates that an ongoing power source, likely CSM interaction, continues to heat the ejecta as it expands. A constant color, indicative of constant temperature, is seen also in other Type Ibn’s (but not all; Fig. 3). The constant color and temperature might be an indication of a common CSM-interaction power source for this class of events. Determining why some events do not show constant color requires additional modeling of those data, which we leave to future work.

The bolometric light curve of SN 2019kbj yields extreme parameter values when fit by radioactive decay alone, but can be fit with much more reasonable values with the addition of CSM-interaction luminosity.

The steady-wind CSM (s=2s=2) models require higher Ni masses and lower ejecta masses compared to a uniform-density CSM shell (s=0s=0; Table 6). In fact, the steady-wind CSM models require most (\sim50–90%) of the ejecta to be Ni, while in the uniform-density CSM model less than 10% of the ejecta mass is Ni, as seen in most core-collapse SNe. This is the case regardless of the value of nn chosen. Therefore, we conclude that our models show a slight preference for a uniform-density CSM shell over a steady-wind CSM. This is consistent with the results of Karamehmetoglu et al. (2017) and Gangopadhyay et al. (2020) who also prefer a uniform-density CSM shell over a steady-wind CSM to explain the light curves of the Type Ibn SNe OGLE-2014-SN-131 and 2019uo.

In the uniform-density CSM case, the bolometric light curve of SN 2019kbj requires a 56Ni mass of 0.080.080.1M0.1M_{\odot}, which is an order of magnitude higher than the 0.01M0.01\,M_{\odot} derived by Gangopadhyay et al. (2020) and Pellegrino et al. (2022) for SN 2019uo (for both CSM cases). In the steady-wind CSM case, we derive an even higher value of 0.22M0.22\,M_{\odot} for the 56Ni mass. The ejecta masses of 0.2\sim 0.21.4M1.4\,M_{\odot} that we find are substantially lower than the 16M\sim 16\,M_{\odot} derived for SN 2019uo by Gangopadhyay et al. (2020), but overlap with the 1M\sim 1\,M_{\odot} found by Pellegrino et al. (2022) for that event.

The ejecta masses deduced are not highly sensitive to the value of nn, and change only within a factor of two for n=7n=7 vs. n=10n=10. The 56Ni and CSM masses are even less sensitive to nn, and are in fact consistent within the errors for the different nn values tested.

The mass-loss rate, M˙\dot{M}, that produced the CSM can be obtained from the continuity equation:

M˙(r)=4πr2ρCSM(r)vw(r)=4πr2qrsvw(r)\begin{split}\dot{M}\left(r\right)&=4{\pi}r^{2}\rho_{CSM}\left(r\right)v_{w}\left(r\right)\\ &=4{\pi}r^{2}qr^{-s}v_{w}\left(r\right)\\ \end{split} (5)

where vwv_{w} is the CSM wind velocity, and we recall that q=ρCSM,inrinsq=\rho_{CSM,in}r_{in}^{s}. If we assume a constant wind velocity, then the mass-loss rate is

M˙(r)=4πr2sρCSM,inrinsvw\dot{M}\left(r\right)=4{\pi}r^{2-s}\rho_{CSM,in}r_{in}^{s}v_{w} (6)

For the s=2s=2 case, this results in a constant M˙\dot{M}. Typical Wolf-Rayet wind velocities are of order 1000 km s-1 (Crowther, 2007), which is consistent with the order of magnitude of the earliest He velocity we measure in Section 5 (before the CSM might have accelerated significantly due to impact from the SN ejecta). With our s=2s=2 best-fit parameters we thus find a mass-loss rate on the order of \sim0.5(vw1000km s1)\left(\frac{v_{w}}{1000\,\textrm{km\,s}^{-1}}\right)MM_{\odot} yr-1 (for both n=7n=7 and n=10n=10). At this mass-loss rate, to reach the total CSM mass from each fit, the mass-loss episode that shaped the light curve of SN 2019kbj would have lasted only \sim0.2–1.1 years.

The mass-loss rate found here is similar to the mass-loss rate derived for the Type IIn SN iPTF13z (0.1–2 M{M}_{\odot} yr-1; Nyholm et al. 2017). Gangopadhyay et al. (2020) found a much higher value for SN 2019uo (\sim200(vw1000km s1)\left(\frac{v_{w}}{1000\,\textrm{km\,s}^{-1}}\right)MM_{\odot} yr-1) which motivated them to rule out the s=2s=2 model for that event.

For s=0s=0, the mass loss rate is not constant for a constant vwv_{w}. Using the best fit parameters for this case, the mass loss rate at the inner CSM radius, M˙(rin)\dot{M}\left(r_{in}\right), is \sim16(vw1000km s1)\left(\frac{v_{w}}{1000\,\textrm{km\,s}^{-1}}\right)MM_{\odot} yr-1 for n=7n=7 and \sim2.5(vw1000km s1)\left(\frac{v_{w}}{1000\,\textrm{km\,s}^{-1}}\right)MM_{\odot} yr-1 for n=10n=10. We can not derive a timescale for the ejection of this shell, without knowing the difference between rinr_{in} and the progenitor radius (which we can not constrain here). In addition to these uncertainties, vwv_{w} might also not be constant in this type of CSM.

Although the light curve of SN 2019kbj is \sim1–2 magnitudes brighter than that of SN 2019uo, both are within the observed spread of Type Ibn SN luminosities (Fig. 2). Therefore, our results indicate a possible diversity in Type Ibn SN progenitor systems and explosions. However, this apparent diversity may be due, at least in part, to the different model implementation and fitting methods used for each event. As noted previously, Pellegrino et al. (2022) also fit a Ni decay + uniform-density CSM model to SN 2019uo, but find a very different ejecta mass than that found by Gangopadhyay et al. (2020), 1M\sim 1M_{\odot} vs. 16M\sim 16M_{\odot}, using the same data. Comparing physical parameters between events requires fitting their light curves with the same models and methods. We plan to perform such systematic comparisons in future work (T. Ben-Ami et al. 2023, in preparation).

8 Summary and Conclusions

SN 2019kbj is similar both photometrically and spectroscopically to other Type Ibn SNe.

We show that the radioactive decay of 56Ni is likely not enough to explain the light curve, but that an additional power source is needed. This is also evidenced by the roughly constant blackbody temperature of SN 2019kbj.

We fit the bolometric light curve of SN 2019kbj with a radioactive decay + CSM interaction model, and find that a uniform-density CSM shell produces more reasonable fits compared to a steady-wind CSM.

Other Type Ibn SNe show lower 56Ni masses and higher ejecta masses compared to SN 2019kbj. This diversity might be intrinsic to Type Ibn SN progenitor systems and explosions, but it might also arise from differences in the way physical parameters have been inferred for different events. A systematic study of Type Ibn light curves could elucidate this issue and provide additional clues as to the puzzling nature of these events.

We thank the anonymous referee for useful comments that helped make the results of this paper more robust and insightful. T.B.-A acknowledges support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant No. 852097). IA is a CIFAR Azrieli Global Scholar in the Gravity and the Extreme Universe program and acknowledges support from that program, from the ERC under the European Union’s Horizon 2020 research and innovation program (grant No. 852097), from the Israel Science Foundation (grant No. 2752/19), from the United States - Israel Binational Science Foundation (BSF), and from the Israeli Council for Higher Education Alon Fellowship. The Las Cumbres group is supported by AST-1911151, AST-1911225, and NASA Swift grant No. 80NSSC19K1639. This work made use of data from the Las Cumbres Observatory global network of robotic telescopes, and of data from the Asteroid Terrestrial-impact Last Alert System (ATLAS) project. ATLAS is primarily funded to search for near earth asteroids through NASA grant Nos. NN12AR55G, 80NSSC18K0284, and 80NSSC18K1575; by-products of the NEO search include images and catalogs from the survey area. This work was partially funded by Kepler/K2 grant No. J1944/80NSSC19K0112 and HST GO-15889, and STFC grant Nos. ST/T000198/1 and ST/S006109/1. The ATLAS science products have been made possible through the contributions of the University of Hawaii Institute for Astronomy, the Queen’s University Belfast, the Space Telescope Science Institute, the South African Astronomical Observatory, and The Millennium Institute of Astrophysics (MAS), Chile. This work also made use of the NASA/IPAC Extragalactic Database (NED), which is funded by the National Aeronautics and Space Administration and operated by the California Institute of Technology, and of data, software, and web tools obtained from the High Energy Astrophysics Science Archive Research Center (HEASARC), a service of the Astrophysics Science Division at NASA/GSFC and of the Smithsonian Astrophysical Observatory’s High Energy Astrophysics Division.

Appendix A Model Priors

The priors chosen for the radioactive decay model are shown in Table 7 and those for the radioactive decay + CSM interaction model in Table 8. In addition, a limit on MNiM_{Ni} was given such that samples with MNi>MejM_{Ni}>M_{ej} were rejected by the algorithm. The prior on the explosion time t0t_{0} is based on the explosion window discussed in Section 3.

Table 7: Bounds for the priors used when fitting the radioactive decay model.
MejM_{ej} MNiM_{Ni} vejv_{ej} κopt\kappa_{opt} t0t_{0}
(M)(M_{\odot}) (M)(M_{\odot}) (103kms1)(10^{3}km\,s^{-1}) (cm2g1)(cm^{2}g^{-1}) (daysdays)
Lower bound 10310^{-3} 10410^{-4} 1.0 10310^{-3} -5.5
Upper bound 20.0 10.0 100.0 1.0 -4.1
Type Log-uniform Log-uniform Uniform Uniform Uniform
Table 8: Bounds for the priors used when fitting the radioactive decay + CSM interaction model.
MejM_{ej} MNiM_{Ni} McsmM_{csm} vejv_{ej} ρcsm,in\rho_{csm,in} rinr_{in} ϵ\epsilon x0x_{0} κopt\kappa_{opt} t0t_{0}
(M)(M_{\odot}) (M)(M_{\odot}) (M)(M_{\odot}) (103kms1)(10^{3}km\,s^{-1}) (1012gcm3)(10^{-12}g\,cm^{-3}) (1014cm)(10^{14}\,cm) (cm2g1)(cm^{2}g^{-1}) (daysdays)
Lower bound 10310^{-3} 10410^{-4} 10410^{-4} 1.0 0.01 0.01 0.1 0.1 10310^{-3} -5.5
Upper bound 20.0 10.0 12.0 20.0 1.0 20.0 1.0 1.0 1.0 -4.1
Type Log-uniform Log-uniform Log-uniform Uniform Uniform Uniform Uniform Uniform Uniform Uniform

Appendix B Model Convergence

For the radioactive decay + CSM interaction model fits, we use the original stopping function offered by Dynesty, which is robust for most applications (Speagle, 2020). The algorithm performs a “baseline” run, which is stopped when 99% of the evidence has been explored, followed by a stopping function for the additional batch runs, based on whether the posterior has been estimated well enough (see Speagle 2020 for more details).

Taking the s=0s=0, δ=0\delta=0 case (Fig. 14) as an example, we can see two types of posterior distributions. Some (e.g. those for MNiM_{Ni} and t0t_{0}) are Gaussian-like, while others (e.g. for x0x_{0}) have broader, more complicated distributions. While this might be interpreted as not ‘converged’ in an MCMC fit, the entire relevant phase space of the priors has been explored (Fig. 12). This is the case for all model variations fit here. Therefore we conclude that the fits are converged but that there exist inherently complex degeneracies between some of the parameters.

Refer to caption
Figure 12: Corner plot of the samples constructed for the radioactive decay + CSM model with s=0s=0 and δ=0\delta=0. Colors represent each sampling’s weight in calculating the posterior. The relevant parameter space was covered well by the sampling, leading us to conclude that the fits are converged. The same is true for all other radioactive decay + CSM models fit here.

B.1 Corner Plots and Fit Parameters

Figure 13 shows the corner plot for the radioactive decay only fit, and Table 9 lists the best-fit parameters from the unconstrained model. Corner plots for the radioactive decay + CSM fits are shown in Figures 1421.

Refer to caption Refer to caption
Figure 13: Corner plots of the radioactive decay fit to the bolometric light curve of SN 2019kbj. The units for the parameters are given in Table 5. Left: fit in which the 56Ni mass is constrained to be lower than the total ejecta mass and the velocity prior is extended up to 100×103100\times 10^{3} km s-1. Right: fit in which the 56Ni mass is not constrained by the ejecta mass and the velocity priors are limited to 20×103\leq 20\times 10^{3} km s-1. In this case the preferred 56Ni mass is larger than the total ejecta mass, making the solution unphysical.
Table 9: Best-fit parameters for the unconstrained radioactive decay model. The larger Ni than total mass makes this model unphysical.
MNiM_{Ni} MejM_{ej} vejv_{ej} κopt\kappa_{opt} t0t_{0}
(MM_{\odot}) (MM_{\odot}) (103kms110^{3}km\,s^{-1}) (cm2g1cm^{2}g^{-1}) (daysdays)
0.7870.017+0.0180.787_{-0.017}^{+0.018} 0.480.41+0.440.48_{-0.41}^{+0.44} 13.027.79+5.0013.02_{-7.79}^{+5.00} 0.0200.006+0.0290.020_{-0.006}^{+0.029} 5.380.19+0.18-5.38_{-0.19}^{+0.18}
Refer to caption
Figure 14: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=7,s=0,δ=0n=7,s=0,\delta=0. The units for the parameters are given in Table 6.
Refer to caption
Figure 15: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=7,s=0,δ=2n=7,s=0,\delta=2. The units for the parameters are given in Table 6.
Refer to caption
Figure 16: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=7,s=2,δ=0n=7,s=2,\delta=0. The units for the parameters are given in Table 6.
Refer to caption
Figure 17: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=7,s=2,δ=2n=7,s=2,\delta=2. The units for the parameters are given in Table 6.
Refer to caption
Figure 18: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=10,s=0,δ=0n=10,s=0,\delta=0. The units for the parameters are given in Table 6.
Refer to caption
Figure 19: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=10,s=0,δ=2n=10,s=0,\delta=2. The units for the parameters are given in Table 6.
Refer to caption
Figure 20: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=10,s=2,δ=0n=10,s=2,\delta=0. The units for the parameters are given in Table 6.
Refer to caption
Figure 21: Corner plot for the radioactive decay + CSM interaction fit to the bolometric light curve of SN 2019kbj, with fixed parameters n=10,s=2,δ=2n=10,s=2,\delta=2. The units for the parameters are given in Table 6.

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