The Low Detection Rate of Pair Instability Supernovae and the Effect of the Core Carbon Fraction

Abstract

The pair instability supernova (PISN) is a common fate of very massive stars (VMSs). Current theory predicts the initial and the CO core mass ranges for PISNe of $\sim$140-260 $M_{\odot }$ and $\sim$65-120 $M_{\odot }$ respectively for stars that are not much affected by the wind mass loss. The corresponding relative event rate between PISNe and core collapse supernovae is estimated to be $\sim$1% for the present-day initial mass function. However, no confident PISN candidate has been detected so far, despite more than 1,000 supernovae are discovered every recent years. We investigate the evolution of VMSs with various core carbon-to-oxygen ratios for the first time, by introducing a multiplication factor $f_{\mathrm{cag}}\in [0.1,1.2]$ to the ${}^{12}$C($\alpha ,\gamma$)${}^{16}$O reaction rate. We find that a less massive VMS with a high $X$(C)/$X$(O) develops shell convection during the core carbon-burning phase, with which the star avoids the pair-creation instability. The second result is the high explodability for a massive VMS, i.e., a star with high $X$(C)/$X$(O) explodes with a smaller explosion energy. Consequently, the initial and the CO core mass ranges for PISNe are significantly increased. Finally, a PISN with high $X$(C)/$X$(O) yields smaller amount of ${}^{56}$Ni. Therefore, PISNe with high $X$(C)/$X$(O) are much rarer and fainter to be detected. This result advances the first theory to decrease the PISN event rate by directly shifting the CO core mass range.

14 pages, 11 figures. Accepted for publication in ApJ

References in corpus (18)

• Pulsational Pair-Instability Supernovae
• Nucleosynthesis and Remnants in Massive Stars of Solar Metallicity
• Pulsational pair instability as an explanation for the most luminous supernovae
• Primordial Nucleosynthesis in the Precision Cosmology Era
• The R136 star cluster hosts several stars whose individual masses greatly exceed the accepted 150 Msun stellar mass limit
• The Mass Spectrum of the First Stars
• An excess of massive stars in the local 30 Doradus starburst
• The 12C(a,g)16O reaction and its implications for stellar helium burning
• Effects of rotation on the evolution of primordial stars
• Pair creation supernovae at low and high redshift
• Stellar Yields of Rotating First Stars. II. Pair Instability Supernovae and Comparison with Observations
• Fast evolving pair-instability supernova models: evolution, explosion, light curves
• Observational properties of low redshift pair instability supernovae
• Stellar Yields of Rotating First Stars. I. Yields of Weak Supernovae and Abundances of Carbon-enhanced Hyper Metal Poor Stars
• Possible pair-instability supernovae at solar metallicity from magnetic stellar progenitors
• Explosion and nucleosynthesis of low redshift pair instability supernovae
• Reducing Uncertainties in the Production of the Gamma Emitting Nuclei 26Al, 44Ti, and 60Fe in Core Collapse Supernovae by Using Effective Helium Burning Rates
• Pair-Instability Supernovae of Fast Rotating Stars

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