Exact and approximate expressions of energy generation rates and their impact on the explosion properties of Pair Instability Supernovae

Abstract

Energetics of nuclear reaction is fundamentally important to understand the mechanism of pair instability supernovae (PISNe). Based on the hydrodynamic equations and thermodynamic relations, we derive exact expressions for energy conservation suitable to be solved in simulation. We also show that some formulae commonly used in the literature are obtained as approximations of the exact expressions. We simulate the evolution of very massive stars of ~100-320 Msun with zero- and 1/10 Zsun, and calculate further explosions as PISNe, applying each of the exact and approximate formulae. The calculations demonstrate that the explosion properties of PISN, such as the mass range, the 56Ni yield, and the explosion energy, are significantly affected by applying the different energy generation rates. We discuss how these results affect the estimate of the PISN detection rate, which depends on the theoretical predictions of such explosion properties.

13 pages, 8 figures, 4 tables. Accepted for publication in MNRAS

References in corpus (9)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Pulsational pair instability as an explanation for the most luminous supernovae
• Pair creation supernovae at low and high redshift
• A Core-Collapse Supernova Model for the Extremely Luminous Type Ic Supernova 2007bi: An Alternative to the Pair-Instability Supernova Model
• 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
• Explosion and nucleosynthesis of low redshift pair instability supernovae
• Pulsations of red supergiant pair-instability supernova progenitors leading to extreme mass loss
• Finding the First Cosmic Explosions. IV. 90 - 140 M${}_{\odot }$ Pair-Instability Supernovae

Cited by in corpus (51)

• Superluminous supernovae
• Astronuclear Physics: a Tale of the Atomic Nuclei in the Skies
• Stellar Yields of Rotating First Stars. II. Pair Instability Supernovae and Comparison with Observations
• Limits on Pop III star formation with the most iron-poor stars
• Merger rate density of Population III binary black holes below, above, and in the pair-instability mass gap
• Related progenitor models for long-duration gamma ray bursts and Type Ic superluminous supernovae
• Mass ejection by pulsational pair instability in very massive stars and implications for luminous supernovae
• One-, Two-, and Three-dimensional Simulations of Oxygen Shell Burning Just Before the Core-Collapse of Massive Stars
• Population III Binary Black Holes: Effects of Convective Overshooting on Formation of GW190521
• Preparing the next gravitational million-body simulations: Evolution of single and binary stars in Nbody6++GPU, MOCCA and McLuster
• Modeling of Magneto-Rotational Stellar Evolution I. Method and first applications
• Merger rate density of binary black holes through isolated Population I, II, III and extremely metal-poor binary star evolution
• A low-mass binary neutron star: long-term ejecta evolution and kilonovae with weak blue emission
• Fitting formulae for evolution tracks of massive stars under extreme metal poor environments for population synthesis calculations and star cluster simulations
• The Low Detection Rate of Pair Instability Supernovae and the Effect of the Core Carbon Fraction
• Gravitational Collapse of Rotating Supermassive Stars including Nuclear Burning Effects
• The sustainable growth of the first black holes
• Multiple channels for nitrogen pollution by metal enriched supermassive stars and implications for GN-z11
• Neutrino emissions in all flavors up to the pre-bounce of massive stars and the possibility of their detections
• Presupernova neutrino events relating to the final evolution of massive stars
• The Evolution towards Electron-capture Supernovae: the Flame Propagation and the Pre-bounce Electron-neutrino Radiation
• Gravitational wave of intermediate-mass black holes in Population III star clusters
• Hydrodynamical simulations and similarity relations for eruptive mass loss from massive stars
• High-entropy ejecta plumes in Cassiopeia A from neutrino-driven convection
• Stability analysis of supermassive primordial stars: a new mass range for general relativistic instability supernovae
• Theoretical prediction of presupernova neutrinos and their detection
• Synthetic observables for electron-capture supernovae and low-mass core collapse supernovae
• Alternative possibility of GW190521: Gravitational waves from high-mass black hole-disk systems
• Three-dimensional Hydrodynamics Simulations of Precollapse Shell Burning in the Si- and O-rich Layers
• Probing the initial mass function of the first stars with transients
• Electromagnetic counterparts of binary neutron star mergers leading to a strongly magnetized long-lived remnant neutron star
• The Final Fate of Supermassive $M\sim 5\times 10^4{M}_{\odot }$ Pop III Stars: Explosion or Collapse?
• A Sub-Solar Metallicity Progenitor for Cassiopeia A, the remnant of a Type IIb Supernova
• The Type II Superluminous SN 2008es at Late Times: Near-Infrared Excess and Circumstellar Interaction
• iPTF14hls as a variable hyper-wind from a very massive star
• Euclid detectability of pair instability supernovae in binary population synthesis models consistent with merging binary black holes
• Evolution and explosions of metal enriched supermassive stars: proton rich general relativistic instability supernovae
• Black Hole Formation and Explosion from Rapidly Rotating Very Massive Stars
• Hydrodynamics and Nucleosynthesis of Jet-Driven Supernovae I: Parameter Study of the Dependence on Jet Energetics
• First Detection of X-Ray Line Emission from Type IIn Supernova 1978K with XMM-Newton's RGS
• Metal-enriched Pair-instability supernovae: Effects of rotation
• Neutrino emission from the collapse of $\sim 10^4$ $M_{\odot }$ population III supermassive stars
• Progenitor constraint with circumstellar material for the magnetar-hosting supernova remnant RCW 103
• Light Curves and Event Rates of Axion Instability Supernovae
• Impacts of the ${}^{12}\mathrm{C}{\left(\alpha ,\gamma \right)}^{16}\mathrm{O}$ reaction rate on ${}^{56}\mathrm{Ni}$ nucleosynthesis in pair-instability supernovae
• Aeos: The Impact of Population III Initial Mass Function and Star-by-Star Models in Galaxy Simulations
• Nitrogen enhancement of GN-z11 by metal pollution from supermassive stars
• Primary and secondary source of energy in the superluminous supernova 2018ibb
• Mass and Spin Growth of Very Massive Stars in Star Clusters Potentially Associated with Little Red Dots
• Comprehensive neutrino light curves and spectra: from pre-supernova evolution to early supernova phase
• Direct N-body simulations of rotating and extremely massive Population III star clusters