Electron-capture Rates in ${}^{20}$Ne for a Forbidden Transition to the Ground State of ${}^{20}$F Relevant to Final Evolution of High-density O-Ne-Mg Cores

Abstract

Electron capture on ${}^{20}$Ne is critically important for the final stage of evolution of stars with the initial masses of 8 - 10 $M_{\odot }$. In the present paper, we evaluate electron capture rates for a forbidden transition ${}^{20}$Ne (0${}_{g.s.}^{+}$) $\to$ ${}^{20}$F (2${}_{g.s.}^{+}$) in stellar environments by the multipole expansion method with the use of shell-model Hamiltonians. These rates have not been accurately determined in theory as well as in experiments. Our newly evaluated rates are compared with those obtained by a prescription that treats the transition as an allowed Gamow-Teller (GT) transition with the strength determined from a recent $\beta$-decay experiment for ${}^{20}$F (2${}_{g.s.}^{+}$) $\to$ ${}^{20}$Ne (0${}_{g.s.}^{+}$) \citep{Kirsebom}. We find that different electron energy dependence of the transition strengths between the two methods leads to sizable differences in the weak rates of the two methods. We also find that the Coulomb effects, that is, the effects of screening on ions and electrons are non-negligible. We apply our e-capture rates on ${}^{20}$Ne to the calculation of the evolution of high-density O-Ne-Mg cores of 8 - 10 $M_{\odot }$ stars. We find that our new rates affect the abundance distribution and the central density at the final stage of evolution.

arXiv commentSubmitted to The Astrophysical Journal on May 7, 2019; Accepted on June 19, 2019

References in corpus (14)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Advanced burning stages and fate of 8-10 Mo stars
• Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction
• Improved estimate of electron capture rates on nuclei during stellar core collapse
• Do electron-capture supernovae make neutron stars? First multidimensional hydrodynamic simulations of the oxygen deflagration
• Calculation of stellar electron-capture cross sections on nuclei based on microscopic Skyrme functionals
• Electron capture and beta-decay rates for sd-shell nuclei in stellar environments relevant to high density O-Ne-Mg cores
• Astrophysical weak-interaction rates for selected $A=20$ and $A=24$ nuclei
• Screening Corrections to the Electron Capture Rates in Dense Stars by the Relativistically Degenerate Electron Liquid
• The Importance of Urca-process Cooling in Accreting ONe White Dwarfs
• The Evolution towards Electron-capture Supernovae: the Flame Propagation and the Pre-bounce Electron-neutrino Radiation
• Residual Carbon in Oxygen-Neon White Dwarfs and its Implications for Accretion-Induced Collapse

Cited by in corpus (15)

• Three-dimensional Models of Core-collapse Supernovae From Low-mass Progenitors With Implications for Crab
• Astronuclear Physics: a Tale of the Atomic Nuclei in the Skies
• Evolution of ONeMg Core in Super-AGB Stars towards Electron-Capture Supernovae: Effects of Updated Electron-Capture Rate
• Explosive Nucleosynthesis in Near-Chandrasekhar-mass White Dwarf Models for Type Iax Supernovae: Dependence on Model Parameters
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{24}$Na and ${}^{36}$Cl assessed by the nuclear shell model
• J0453+1559: a neutron star-white dwarf binary from a thermonuclear electron-capture supernova?
• Measurement of the $2^{+}\to 0^{+}$ ground-state transition in the $\beta$ decay of ${}^{20}$F
• Hydrodynamic Simulations of Electron-capture Supernovae: Progenitor and Dimension Dependence
• Origin of metals in old Milky Way halo stars based on GALAH and Gaia
• Nuclear Weak Rates and Nuclear Weak Processes in Stars
• The jittering jets explosion mechanism (JJEM) in electron capture supernovae
• Pulsational Pair-instability Supernovae. II. Neutrino Signals from Pulsations and their Detection by Terrestrial Neutrino Detectors
• Synthesis of radioactive elements in novae and supernovae and their use as a diagnostic tool
• Weak interaction rates of $sd$-shell Urca pairs in stellar environment using a shell-model approach
• Comprehensive neutrino light curves and spectra: from pre-supernova evolution to early supernova phase