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Nebular Spectroscopy of the "Blue Bump" Type Ia Supernova 2017cbv

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Published 2018 August 7 © 2018. The American Astronomical Society. All rights reserved.
, , Citation D. J. Sand et al 2018 ApJ 863 24 DOI 10.3847/1538-4357/aacde8

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0004-637X/863/1/24

Abstract

We present nebular phase optical and near-infrared spectroscopy of the Type Ia supernova (SN) 2017cbv. The early light curves of SN 2017cbv showed a prominent blue bump in the U, B, and g bands lasting for ∼5 days. One interpretation of the early light curve is that the excess blue light is due to shocking of the SN ejecta against a nondegenerate companion star—a signature of the single degenerate scenario. If this is the correct interpretation, the interaction between the SN ejecta and the companion star could result in significant Hα (or helium) emission at late times, possibly along with other species, depending on the companion star and its orbital separation. A search for Hα emission in our +302 d spectrum yields a nondetection, with a LHα < 8.0 × 1035 erg s−1 (given an assumed distance of D = 12.3 Mpc), which we verified by implanting simulated Hα emission into our data. We make a quantitative comparison to models of swept-up material stripped from a nondegenerate companion star and limit the mass of hydrogen that might remain undetected to MH < 1 × 10−4 M. A similar analysis of helium star related lines yields a MHe < 5 × 10−4 M. Taken at face value, these results argue against a nondegenerate H- or He-rich companion in Roche lobe overflow as the progenitor of SN 2017cbv. Alternatively, there could be weaknesses in the envelope-stripping and radiative transfer models necessary to interpret the strong H and He flux limits.

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1. Introduction

Type Ia supernovae (SNe Ia) result from the thermonuclear explosion of carbon–oxygen (C–O) white dwarfs (Hoyle & Fowler 1960), but despite their critical use as standardizable candles to measure the expansion history of the universe, their explosion mechanisms and progenitor systems are still unclear (see Maoz et al. 2014 for a recent review).

SN Ia progenitor systems fall under two broad categories—the single degenerate (SD) and double degenerate (DD) scenarios. In the SD scenario, the C–O white dwarf has a nondegenerate companion star (Whelan & Iben 1973), while the DD scenario has a second degenerate companion in the system (Iben & Tutukov 1984; Webbink 1984). Within these two broad categories, several explosion mechanisms (i.e., how the thermonuclear explosion is triggered) are being actively studied.

The presence of a nondegenerate companion star can be revealed through observational signatures, which we touch on here, although not exhaustively. Theoretical models predict a "blue bump" in the UV–optical light curve in the days after explosion due to the supernova (SN) ejecta impacting the nondegenerate companion (e.g., Kasen 2010). This signature has been reported in a handful of instances (Cao et al. 2015; Marion et al. 2016; Hosseinzadeh et al. 2017a), although not all works have interpreted these light curve features as companion–shock interaction (e.g., Miller et al. 2018, and see also the early, redder excess in Jiang et al. 2017). Early light curve excesses might also result from extended 56Ni distributions (possibly in combination with circumstellar material interaction; Piro & Morozova 2016), which may result in unusual early optical spectra (Jiang et al. 2017).

Another key prediction of the SD scenario is that material stripped from the companion star is swept up by the SN Ia ejecta, detectable as a relatively narrow emission line of hydrogen or helium at late times (e.g., Marietta et al. 2000; Mattila et al. 2005; Pan et al. 2010, 2012; Liu et al. 2012, 2013; Lundqvist et al. 2013; Botyánszki et al. 2018, among others). The models for the emission from stripped material have considerable diversity in the strength and shape of the emission line and depend on the details of the companion type and binary separation. Here we will rely on the latest modeling by Botyánszki et al. (2018), but provide interpretations based on previous models as well. Despite their promise, definitive late-time narrow emission lines have not been seen in standard SN Ia (Mattila et al. 2005; Leonard 2007; Shappee et al. 2013; Lundqvist et al. 2015; Maguire et al. 2016; Graham et al. 2017; Shappee et al. 2018).

The nearby Type Ia SN 2017cbv, which exhibited the clearest early light curve "blue bump" to date and is a strong candidate to originate from an SD progenitor (see Hosseinzadeh et al. 2017a, for details), presents us with an opportunity to search for nebular emission lines associated with companion star stripping in order to cross-check the early light curve results. SN 2017cbv was discovered on 2017 March 10 (UT) with a magnitude of R ∼ 16 mag by the Distance Less Than 40 Mpc survey (DLT40; Tartaglia et al. 2018). Within hours of discovery, follow-up imaging (Valenti et al. 2017) and spectroscopy (Hosseinzadeh et al. 2017b) were obtained, confirming the source to be a young Type Ia SN. After reaching an apparent B-band maximum of 11.72 mag on MJD = 57,841.07, SN 2017cbv exhibited a normal light curve decline rate of Δm15(B) = 1.06 mag (Hosseinzadeh et al. 2017a). The SN occurred in the outskirts of the nearby galaxy NGC 5643, which has a reported distance modulus of μ = 31.14 ± 0.40 mag, or D = 16.9 ± 3.1 Mpc (Tully 1988). This distance is quite uncertain, and we revisit it using the SN 2017cbv light curve itself in the next section. High resolution spectroscopy did not detect any time variable narrow line emission associated with SN 2017cbv (Ferretti et al. 2017), which limits the radii and amount of any circumstellar material in the vicinity of the progenitor system, but does not formally rule out the model presented by Hosseinzadeh et al. (2017a).

Here we present nebular phase optical and near-infrared (NIR) spectroscopy of SN 2017cbv and search for the emission lines of hydrogen (or helium) rich material from a putative nondegenerate companion. In Section 2 we present our photometric and spectroscopic observations of SN 2017cbv, along with a distance estimate based on the light curve. In Section 3 we search for narrow emission lines from material stripped off the companion star and estimate the flux limits of our nondetections based on the S/N of our data and an implanted emission line feature. In Section 4 we use published models for stripped material to constrain the mass of hydrogen and helium in the progenitor system of SN 2017cbv and discuss the physical implications of our results. We summarize and conclude in Section 5. A flat cosmology with ΩM = 0.3, ΩΛ = 0.7, and H0 = 72 km s−1 Mpc−1 is assumed.

2. Observations

We present new photometry and late-time spectroscopy of SN 2017cbv.

2.1. Photometry

In order to flux calibrate our nebular spectra, we use the BVri light curve obtained by Las Cumbres Observatory's network of 1 m telescopes (Brown et al. 2013), which we will present in more detail in an upcoming publication (D. J. Sand et al. 2018, in preparation). The images were reduced using lcogtsnpipe, a PyRAF-based photometric reduction pipeline (Valenti et al. 2016), corrected for Milky Way (MW) extinction along the line of sight using E(B − V) = 0.1452 mag (Schlafly & Finkbeiner 2011). This light curve is presented in Figure 1. The light curve up to +20 days after the B-band maximum light is presented in Hosseinzadeh et al. (2017a). For comparison, we scale the late-time light curve of normal Type Ia SN 2011fe (taken from Graham et al. 2015) to match SN 2017cbv at phases >+80 days, represented by the semitransparent lines in Figure 1. In the lower panel of Figure 1 we show a zoom in at late times and our linear fits to the late-time decline rate in units of mag day−1. We find that SN 2017cbv declines at a similar rate as SN 2011fe, with a slightly faster decline in the redder optical bands. We will present a more thorough photometric analysis in future work.

Figure 1.

Figure 1. Top: multiband SN 2017cbv light curve relative to the B-band maximum light (MJD 57841.07; Hosseinzadeh et al. 2017a). Epochs with nebular spectroscopy in the optical (black) and NIR (blue) are marked in the lower right; the NIR and first optical spectrum blend on this scale. Also plotted is the scaled SN 2011fe light curve at epochs greater than +80 days (Graham et al. 2015). Bottom: a zoom in on the linear fits to the late-time light curve of SN 2017cbv, with the decline slope given in the legend in mag day−1.

Standard image High-resolution image

2.1.1. Distance to SN 2017cbv

SN 2017cbv occurred in the outskirts of the nearby galaxy NGC 5643, which has a Tully–Fisher based distance measurement of μ = 31.14 ± 0.40 mag, or D = 16.9 ± 3.1 Mpc (Tully 1988). This distance is quite uncertain, but if true, would imply that SN 2017cbv had an absolute magnitude of MB = −20.0 mag for D = 16.9 Mpc and was significantly overluminous.

To obtain an improved distance estimate, we used the light curve of SN 2017cbv directly along with the MLCS2k2 light curve fitter (Jha et al. 2007). We adopt a color excess associated with MW extinction of $E(B-V)=0.1452$ mag (Schlafly & Finkbeiner 2011) as discussed above. The resulting MLCS2k2 light curve fit is excellent with a host extinction of AV = 0.168 ± 0.052, Δ = −0.259 ± 0.017 (this parameter is the light curve stretch parameter in the MLCS2k2 methodology; Jha et al. 2007), and μ = 30.45 ± 0.09 mag (for H0 = 72 km s−1 Mpc−1). Although MLCS2k2 infers some host galaxy extinction, it is small and within the normal color dispersion of SN Ia. Other observations infer negligible host extinction based on the narrow line equivalent widths of SN 2017cbv (Ferretti et al. 2017), its color curve (D. J. Sand et al. 2018, in preparation) and its remote position in the host galaxy—for this reason, we will assume no host extinction throughout the rest of this work.

Given the MLCS2k2 distance modulus of μ = 30.45 ± 0.09 mag (D = 12.3 ± 0.5 Mpc), and MW host extinction, this implies an absolute magnitude of MB ≈ −19.25 mag for SN 2017cbv, which is within expectations for an SN with its decline rate (e.g., Parrent et al. 2014). We will use the revised distance modulus of μ = 30.45 ± 0.09 mag (D = 12.3 ± 0.5 Mpc) throughout this work, but will also present results for the Tully–Fisher distance (μ = 31.14 ± 0.40 mag) for completeness.

2.2. Spectroscopy

We obtained two optical nebular spectra of SN Ia 2017cbv with the Gemini Multi-Object Spectrograph (GMOS; Hook et al. 2004) on the Gemini South telescope in Cerro Pachon, Chile, as listed in Table 1 and shown in Figure 2. An initial spectrum was taken on 2018 January 09 (UT), using the R400 and B600 grating in succession to get wavelength coverage from ∼4000–9500 Å. However, the sky conditions were variable, and one of the R400 exposures failed a quality assessment, leaving small gaps in the wavelength coverage on the red side. A second spectrum was obtained on 2018 January 25 (UT), with a much longer exposure time of 4 × 1200 s and utilizing only the R400 grating, with the goal of obtaining a very high S/N spectrum in the region surrounding Hα. We will focus on this second spectrum in Section 3 when we place limits on the mass of H-rich stripped material associated with SN 2017cbv.

Figure 2.

Figure 2. Nebular phase spectra of SN 2017cbv in the optical (top) and NIR (bottom), flux calibrated and corrected for MW extinction. Phases refer to the number of days since B-band maximum. We label those wavelength regions where we search for narrow emission line features plausibly associated with companion star stripping. In the optical spectrum, we mark the locations of the A- and B-band telluric features. The gray vertical band in the NIR spectrum marks a region with strong telluric contamination. The data used to create this figure are available.

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Table 1.  Nebular Spectroscopy Log of SN 2017cbv

Observation Phase Instrument Grating/Grism and Central Slit Filter Exposure Air Mass
Date (UT) (days)   Wavelength (nm) Width ('')   Time (s)  
2018 Jan 09 +286.3 GMOS B600/450.0 1farcs0 × 450 1.33
      R400/750.0 1farcs0 OG515 × 450 1.33
2018 Jan 10 +287.2 Flamingos-2 JH_G5801/1400   0farcs72 JH × 240 1.38
2018 Jan 25 +302.3 GMOS R400/750.0 1farcs5 OG515 × 1200 1.23

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The optical spectra were processed with the Gemini IRAF package: the raw two-dimensional spectra were flat-fielded, bias-subtracted, and trimmed; cosmic-ray rejection was performed; wavelength calibration was determined using a Cu–Ar arc lamp; and sky-subtracted one-dimensional apertures were extracted from the processed frames. The sensitivity function was determined from standard-star observations and applied to flux calibrate our data. We also used the standard-star spectra to remove telluric features, although some residuals remained.

We correct the spectra for MW extinction along the line of sight using the extinction model of Fitzpatrick (1999). The host galaxy extinction is negligible based on the narrow line equivalent widths of SN 2017cbv (Ferretti et al. 2017), along with its color curve (D. J. Sand et al. 2018, in preparation). To place the optical spectra on an absolute scale, we rescale each spectrum to match the MW extinction-corrected r-band magnitude at the nearest epoch—this was r = 19.05 mag for the 2018 January 9 (UT) epoch, and r = 19.47 mag for the 2018 January 25 (UT) epoch. We can see from the bottom panel of Figure 1 that there is some scatter in the late-time r-band photometry, although the trend is clear and individual points do not affect the overall fit. If we instead use our linear fit to estimate the r-band magnitudes on the dates of our spectroscopic observations, we find r =  19.10 and r = 19.43 mag, respectively. This indicates that our overall uncertainty in the flux calibration of our spectra is at the ∼0.05 mag level; this is surely subdominant in comparison to the current uncertainties in the models predicting narrow emission line flux (see Section 5). Finally, we correct for the redshift of the host, z = 0.00399. These final spectra are shown in Figure 2.

A spectrum of SN 2017cbv was also obtained with the Flamingos-2 NIR spectrograph (Eikenberry et al. 2008) on the Gemini South Telescope, on 2018 January 10 (UT). The NIR data were acquired and reduced using methods presented in earlier studies (e.g., Sand et al. 2016), using a standard ABBA technique, with the slit position near the parallactic angle. An A0V star was observed near in time and position to the scientific data in order to make a telluric absorption correction, and to flux calibrate the spectra, following the methodology of Vacca et al. (2003). We again corrected this spectrum for MW extinction, and an absolute flux calibration was obtained directly by matching the blue portion of the NIR spectrum with the optical GMOS spectrum taken the day prior.

All of the spectra presented in this work are available on WISeREP16 (Yaron & Gal-Yam 2012).

3. Stripped Material Search

If the early blue bump in the light curve of SN 2017cbv was caused by the SN ejecta impacting a nondegenerate companion star, then the models predict that the stripped hydrogen (or helium) rich material would be swept up and cause narrow emission lines of FWHM ≈ 1000 km s−1 at late times. SN 2017cbv is well separated from its host galaxy, and no features of host-galaxy hydrogen emission are seen in the optical spectra (see also the spectra presented in Ferretti et al. 2017; Hosseinzadeh et al. 2017a). It is clear from Figure 2 that no strong narrow emission is obvious in the late-time spectra (the broad underlying emission line at ∼6500 Å is [Co iii]). We focus our analysis on a search for trace amounts of Hα in the deep optical spectrum obtained on 2018 January 25 (at +302 days). We also search for evidence of other emission lines such as He i, [O i], [Ca ii], [Fe ii], and Paβ; we mark the position of these lines in Figure 2, and remind the reader that we are searching for narrow features, in contrast to the standard broad features seen in SN spectra.

3.1.  $H\alpha $ Search

Our statistical constraints on the presence of a narrow Hα emission feature uses the higher S/N ratio GMOS spectrum obtained on 2018 January 25 UT (+302 days). Using past observations and modeling work as a guide (e.g., Mattila et al. 2005; Leonard 2007; Shappee et al. 2013; Lundqvist et al. 2015; Botyánszki et al. 2018), we assume the FWHM = 1000 km s−1 for the line width of Hα emission and a potential offset from the rest wavelength of up to 1000 km s−1 as well.

Our methodology borrows from previous work (in particular, Leonard 2007; Shappee et al. 2013), but differs in several respects. First we take the flux-calibrated, extinction, and redshift-corrected spectra and bin to the spectral resolution of the data, σ ≈ 3.5 Å. This resolution is a combination of the spectrograph configuration and the seeing, as the seeing was significantly smaller than the slit width. We used the 1farcs5 slit but the seeing was an FWHM of ≈ 0farcs88 (from the Gemini DIMM report and the acquisition images). The GMOS platescale is 0farcs16 pixel−1, and using the R400 grating with a CCD binning of 2 × 2 gives a dispersion of 1.5 Å pixel−1. Combined, the spectral resolution of our data is σ = 1.5 Å pixel−1 × 0farcs88/0farcs16 pixel−1/2.35 = 3.5 Å.

We then determine the continuum of the underlying broad [Co iii] emission by smoothing the spectrum on scales significantly larger than the expected narrower Hα emission line signature, using a second-order Savitsky–Golay filter with a width of 180 Å (∼8200 km s−1). This smoothing scale is slightly larger than that adopted by other work, but we found that smaller widths degraded our ability to detect and measure faint Hα features implanted into our data, which we discuss below. The binned restframe spectrum and the smoothed spectrum in the region of Hα are shown as black and blue lines, respectively, in the top panel of the top plot of Figure 3. In the bottom panel of the top plot, we show the difference between the binned and smoothed spectra. Any features of the same scale as the expected Hα signature (∼1000 km s−1) would manifest in the difference between these spectra, but no such feature is apparent.

Figure 3.

Figure 3. Top—the +302 days of optical spectrum of SN 2017cbv in the region of Hα, illustrating our search technique for narrow emission line features. The black line is the data binned to the resolution of the spectrum, while the blue shows the data smoothed by a second-order Savitsky–Golay filter with a width of 180 Å. The bottom panel of the top figure shows the difference between the original spectrum and the smoothed version, with no discernible emission line-like residuals. Bottom—similar to the top panel, but here we have implanted an Hα feature at our estimated detection limit, with a peak value three times the rms in the residual. A faint emission line feature is marginally recovered, with a flux within ∼30% of that implanted feature. The gray vertical band marks the region within 1000 km s−1 of restframe Hα in both plots.

Standard image High-resolution image

To estimate the maximum Hα emission line that could remain undetected in our GMOS spectrum, we use a Gaussian profile with a width of FWHM of ≈ 1000 km s−1 and a peak flux equal to three times the noise in our spectrum, where the noise is the rms of our residual spectrum (e.g., as in Graham et al. 2017). This results in a flux limit of 4.4 × 10−17 erg s−1 cm−2 and a luminosity limit of 8.0 × 1035 (1.5 × 1036) erg s−1 at a distance of D = 12.3 (16.9) Mpc (Table 2).

Table 2.  Emission Line Flux and Luminosity Limits

Emission Flux Limit Luminosity Limit (D = 12.3 Mpc) Luminosity Limit (D = 16.9 Mpc)
Line (10−17 erg s−1 cm−2) (1036 erg s−1) (1036 erg s−1)
Hα λ6563 4.4 0.8 1.5
He i λ5875 18.6 3.4 6.4
He i λ6678 8.3 1.5 2.8
[O i] λ6300 8.6 1.5 2.9
[Ca ii] λλ7291,7324 26.0 4.7 8.9
He i λ10830 5.0 0.9 1.7
[Fe ii] λ12570 3.9 0.7 1.3
Paβ λ12820 3.2 0.6 1.1
[Fe ii] λ16440 2.3 0.4 0.8

Note. All implanted lines have peak fluxes corresponding to three times the local rms with an FWHM = 1000 km s−1 (see Section 3.1 for details), except for the Paβ, He i λ10830, and He i λ5875 lines, where we used a peak flux of four times the local rms. We convert the flux limits to luminosity for the two estimates for host galaxy distance (see Section 1).

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To test that a line with this estimated maximum Hα emission is truly detectable, we implanted a Gaussian emission line (FWHM ≈ 1000 km s−1) with an integrated flux equal to our limit (4.4 × 10−17 erg s−1 cm−2) into our binned restframe spectrum at a velocity of −500 km s−1 (a value typically seen in simulations; Botyánszki et al. 2018). We then re-ran our analysis by smoothing with the 180 Å Savitsky–Golay filter and differencing with the binned spectrum. This is illustrated in the bottom plot of Figure 3, where the implanted emission line is just discernible as an excess, given the spectrum's noise, at the left edge of the gray box. A Gaussian fit to the data recovers the peak flux to within ≈5% and the total integrated flux to within ≈30%. Although this is not a perfect recovery of the implanted feature, perfection would not be expected for an emission line at the detection limit. If such a feature was detected in a given data set, more detailed modeling would be needed in order to recover the maximum amount of information from the feature. Here we are simply demonstrating that an Hα feature with a peak flux of three times the local rms would be detectable in our data, and that fainter emission lines would be undetectable.

Previous works have used different statistical methods to derive upper limits on emission line flux, such as a formalism for calculating the 3σ upper bound on the equivalent width (see details in Leonard & Filippenko 2001; Leonard 2007). Flux limits using these statistical methods are a factor of ∼4 more stringent than those described here. As a test, we implanted simulated Hα lines that represent the formal statistical flux limit based on equivalent width, but we were unable to recover them. We therefore adopt our verified statistical limit of a peak flux density equal to three times the local rms.

3.2. Other Emission Lines Search

Although nebular Hα emission is the most discussed in the context of the SD scenario, other hydrogen lines may be prominent (e.g., Paβ; Maeda et al. 2014; Botyánszki et al. 2018). If the companion is a helium star then He i (at 5875, 6678 Å, and 1.082 μm), [O i]λ6300, and Ca iiλλ7291,7324 are also plausible candidate lines for detecting the presence of a nondegenerate companion (Liu et al. 2013; Lundqvist et al. 2013, 2015; Pan et al. 2013; Botyánszki et al. 2018). Narrow emission lines associated with [Fe ii] at 1.257 and 1.644 μm (not to be confused with the standard, very broad 1.644 μm feature seen in all SN Ia NIR nebular spectra; Diamond et al. 2015, 2018) are also seen in some simulations (Botyánszki et al. 2018). We searched our optical and NIR spectra for these narrow lines using the same statistical methodology described in Section 3.1, but did not detect any. For two NIR lines—Paβ and He i λ1.082 μm—we used a flux limit with a peak four times that of the rms of the local spectral region (rather than three), because we could not confidently recover features of less significance. We also used a peak flux limit with four times that of the rms for the He i λ5875 Å line, as this wavelength nearly coincides with a bright sky line at 5889 Å in the rest wavelength spectrum, and there is a noticeable residual in our spectrum. We present our flux and luminosity limits in Table 2.

Previous work on both SN 2011fe and SN 2014J has noted the presence of an emission feature at ∼7210 Å, with a width approximately that expected from stripped gas (Lundqvist et al. 2015), and we see the same feature in SN 2017cbv. As this feature appears to be at approximately the same observed wavelength for all three SNe, we conclude (as did Lundqvist et al. 2015) that this feature is an artifact, likely associated with a telluric line.

4. Stripped Mass Limits

We have measured luminosity limits for the presence of narrow, low-velocity emission lines, which are expected if a nondegenerate companion star is present in the progenitor system of SN 2017cbv. No such emission was detected, and our limits are summarized in Table 2. Here we convert the line luminosity limits to limits on the mass of hydrogen, focusing on the Hα line. We also discuss helium mass constraints.

Most previous searches have used the results of 1D radiative transport models to relate nebular emission to the amount of stripped hydrogen mass (Mattila et al. 2005; Lundqvist et al. 2013). Here we use the recent 3D radiation transport results of Botyánszki et al. (2018), who present simulated SN Ia spectra at 200 days after peak brightness that incorporate stripped material from a companion star (of solar abundance) mixed into the core of the ejecta. These models were derived from the SN Ia ejecta–companion interaction simulations of Boehner et al. (2017). Botyánszki et al. (2018) find that narrow hydrogen (and helium) nebular emission should be even stronger than previously suggested, differing with the 1D results by roughly an order of magnitude. Models included main sequence, subgiant, and red giant companion stars, with stripped masses between ∼0.2 and 0.4 M, and luminosities between LHα ≈  4.5 and 15.7 × 1039 erg s−1 (see Table 1 in Botyánszki et al. 2018). The Hα line center is seen to vary with viewing angle (∼10 Å), but it is within the 1000 km s−1 region examined in the previous section.

A comparison of our luminosity limits with the expected results from Botyánszki et al. (2018) rule out any of their companion interaction models, as our conservative LHα < 8.0 × 1035 erg s−1 is over three orders of magnitude less than expected. More specifically, taking the best-fit companion interaction model of SN 2017cbv based on the early blue bump in the light curve, Hosseinzadeh et al. (2017a) inferred the companion to be a subgiant star at a binary separation of ∼60 R from the white dwarf (although this is highly model dependent and should be treated with caution). This would place SN 2017cbv's companion between the subgiant and red giant interaction models of Botyánszki et al. (2018), corresponding to LHα ≈ 5 × 1039 erg s−1, which is clearly ruled out by our nebular spectra.

For a quantitative comparison to the models' Hα emission line luminosities, we must first apply a correction factor to account for the fact that the models are derived for +200 days after peak brightness, but our deep GMOS spectrum was obtained at +302 days after peak. Botyánszki et al. (2018) find that the Hα luminosity is a relatively constant fraction of both the Fe iii λ4658 nebular feature and the bolometric luminosity, both of which decline approximately linearly with time during the nebular phase of SNe Ia—by about a factor of four between 200 and 300 days (Mazzali et al. 2015). To convert the models' expected Hα luminosity at +200 to +302 days we simply divide by four, as do Botyánszki et al. (2018) in their re-analysis of the Hα limit for SN 2011fe based on a spectrum at 296 days after peak brightness (Shappee et al. 2013). After this correction, we would still expect an Hα luminosity of LHα ≳ 1 × 1039 erg s−1.

If the mass of stripped hydrogen is lower, for instance if the companion separation is larger than that considered in the Botyánszki et al. (2018) models or if an asymmetric explosion caused a smaller portion of the ejecta to interact with the companion, then the expected LHα would be concomitantly lower. To approximate this effect, Botyánszki et al. (2018) varied the hydrogen density in their fiducial main sequence companion model, finding a quadratic fitting formula that related the stripped hydrogen mass and the Hα luminosity (see their Equation (1), but note that the coefficients had been published backwards and the proper form is ${\mathrm{log}}_{10}({L}_{{\rm{H}}\alpha })\,=-0.2\,{M}_{1}^{2}+0.17{M}_{1}+40.0$, where ${M}_{1}={\mathrm{log}}_{10}({M}_{\mathrm{st}}/{M}_{\odot })$, and Mst is the stripped mass). Applying this function to our own Hα luminosity limit, after we converted it from +302 to +200 days after peak brightness (${\mathrm{log}}_{10}({L}_{{\rm{H}}\alpha })=36.33$), it implies that the maximum amount of undetected stripped hydrogen has a mass of ∼1 × 10−4 M. However, we caution that this hydrogen mass limit is based on the extrapolation of the Botyánszki et al. (2018) simulations, and refer the reader to that work for important caveats.

For comparison with past work, we also use the models of Mattila et al. (2005) to estimate the maximum hydrogen mass that might remain undetected. Mattila et al. (2005) show that 0.5 M of hydrogen produced an emission line with peak intensity of 3.36 × 1035 erg s−1 Å at 380 days after peak brightness. By scaling this intensity to the epoch of our GMOS spectrum at ∼300 days after peak (again using the factor of four decline in flux every 100 days described above), and to the distance of SN 2017cbv, this would correspond to an emission line with a peak flux density of 6.0 × 10−17 erg s−1 cm−2 Å (on top of the underlying SN nebular emission) or an equivalent width of Wλ(0.5 M) ≈ 23.1 Å. Our statistical maximum from Table 2, however, has an equivalent width of W ≈ 0.73 Å. The models of Mattila et al. (2005) show a linear scaling between the mass of hydrogen and the equivalent width of the emission line, and so our limit on the mass of hydrogen, MH, is:

Equation (1)

This is an order of magnitude less constraining than our limit based on the new models of Botyánszki et al. (2018). For comparison, Shappee et al. (2013) used this same method to derive a similar lower limit of MH ≲ 0.001 M for SN 2011fe.

4.1. Helium Mass Limits

In addition to the hydrogen-rich companion scenario discussed thus far, helium stars have long been considered viable white dwarf companions in the progenitor SN Ia system (e.g., Iben & Tutukov 1984), with recent hydrodynamic interaction models predicting ≈0.0024–0.06 M of unbound helium (Pan et al. 2012; Liu et al. 2013). Connecting helium line luminosities to stripped mass is less straightforward than for the case of hydrogen, as fewer radiative transport simulations have been done. Nonetheless, Botyánszki et al. (2018) attempted to model the effect by simply replacing hydrogen with helium in their simulation. If we assume the relation between stripped helium mass and helium luminosity falls off with the same quadratic form as hydrogen, we infer a limit on the amount of undetected stripped helium to be ∼5 × 10−4 M (using the He i λ10830 line). Other works have suggested that helium would be difficult to detect in nebular phase optical spectra, and instead used the [O i]λ6300 and Ca iiλλ7291,7324 lines as potential helium tracers (Lundqvist et al. 2015). Using the methodology of Lundqvist et al. (2015), and their published helium mass limits for SN 2011fe and SN 2014J based on nebular spectra, we infer a scaled helium mass limit of ≲1 × 10−3 M from our SN 2017cbv spectra. In either scenario, our helium mass limits are more restrictive than current helium companion models predict (e.g., Pan et al. 2012; Liu et al. 2013), although we caution that more observational and modeling work needs to be done. We note in passing that helium stars are also candidate companions to SNe Iax systems (for a recent review see Jha 2017), with direct observational evidence in some circumstances (e.g., Foley et al. 2013; McCully et al. 2014), and future high S/N late-time spectra may be another route to constraining their progenitor systems.

5. Conclusions and Summary

In this work we have analyzed the late-time spectra of SN 2017cbv, an SN Ia that exhibited a distinctive "blue bump" in its early-time light curve. A plausible interpretation is that this bump was a signature of the SN's ejecta interacting with a nondegenerate binary companion star. We find none of the predicted late-time narrow line emission that should be generated by the stripped material from the nondegenerate companion and place an upper limit on the mass of hydrogen (MH ≲ 0.0001 M) and helium (MHe ≲ 0.0005 M) that might remain undetected in the progenitor system. These results are contingent on the necessary 3D radiative transport modeling that connects our luminosity limits to inferred mass limits of hydrogen and helium, and ultimately our mass limits are tied to the implantation of lower density material directly into the Botyánszki et al. (2018) models. Models with 1D radiative transport yield mass limits roughly an order of magnitude higher than that quoted above. The presented mass limits are strong, and at face value argue against a nondegenerate companion in Roche lobe overflow as the progenitor of SN 2017cbv. Nonetheless, given the caveats above and the need for further simulations with varying companion types, separations, explosion energies, and envelope masses, we cannot draw definitive conclusions on the SN 2017cbv progenitor system.

There are alternative mechanisms that may have yielded SN 2017cbv's early light curve. One option is that the early-time blue bump of SN 2017cbv is a phenomenon related directly to some property of the white dwarf star and/or its explosion. For example, Piro & Morozova (2016) showed that mixing of radioactive 56Ni into the outer layers of the exploding white dwarf might also be the root cause of an early blue bump, especially if there is some circumstellar material in the system. Similarly, the early SN Ia light curve models of Noebauer et al. (2017) suggest that an early blue bump may be visible in sub-Chandrasekhar DD explosions. For Chandrasekhar-mass models a blue bump might occur naturally at early times if the photosphere is in the carbon layer, which has a lower opacity in the UV (Gall et al. 2017, although we note that SN 2017cbv did not have a UV bump). One advantage of the original Kasen (2010) SD companion interaction light curves is that they were truly predictive—no such early light curve features had been observed at the time of those simulations, but they motivated the current generation of fast cadence SN searches, such as DLT40, which are now revealing light curves with remarkably similar morphologies to that predicted. We will further explore and test the scenarios mentioned above in our future analysis of the full SN 2017cbv data set.

Research by D.J.S. and S.W. is supported by NSF grants AST-1821987 and 1821967. The work of C.M., G.H., and D.A.H. is supported by US National Science Foundation (NSF) grant AST 1313484. E.Y.H. and S.K. acknowledge the support provided by the National Science Foundation under Grant No. AST-1613472 and by the Florida Space Grant Consortium.

This research makes use of observations from the Las Cumbres Observatory. Based on observations obtained at the Gemini Observatory under programs GS-2017B-Q-14 (PI: Howell) and GS-2017B-Q-58 (PI: Sand). Gemini is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the NSF (United States), the National Research Council (Canada), CONICYT (Chile), Ministerio de Ciencia, Tecnología e Innovación Productiva (Argentina), and Ministério da Ciência, Tecnologia e Inovação (Brazil). The data were processed using the Gemini IRAF package. We thank the queue service observers and technical support staff at Gemini Observatory for their assistance.

This research has made use of the NASA/IPAC Extragalactic Database (NED), which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with NASA.

Facilities: LCOGT - Las Cumbres Observatory Global Telescope, Gemini: South (GMOS - , Flamingos-2) - .

Software: Astropy (Astropy Collaboration et al. 2013; Astropy Collaboration et al. 2018).

Footnotes

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10.3847/1538-4357/aacde8