Calculation of stellar electron-capture cross sections on nuclei based on microscopic Skyrme functionals

Abstract

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of the initial nuclear state are determined in the finite-temperature Skyrme Hartree-Fock model, and charge-exchange transitions to excited states are computed using the finite-temperature RPA. Effective interactions are implemented self-consistently: both the finite-temperature single-nucleon Hartree-Fock equations and the matrix equations of RPA are based on the same Skyrme energy density functional. Using a representative set of Skyrme functionals, the model is applied in the calculation of stellar electron-capture cross sections for selected nuclei in the iron mass group and for neutron-rich Ge isotopes.

31 pages, 13 figures, submitted to Physical Review C

References in corpus (3)

• Theory of Core-Collapse Supernovae
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Pairing interactions and the vanishing pairing correlations in hot nuclei

Cited by in corpus (38)

• Improved estimate of electron capture rates on nuclei during stellar core collapse
• GT strengths and electron-capture rates for pf-shell nuclei of relevance for late stellar evolution
• The Sensitivity of Core-Collapse Supernovae to Nuclear Electron Capture
• Astrophysical weak-interaction rates for selected $A=20$ and $A=24$ nuclei
• Gamow-Teller strength distributions at finite temperatures and electron capture in stellar environments
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Electron capture in stars
• Evolution of ONeMg Core in Super-AGB Stars towards Electron-Capture Supernovae: Effects of Updated Electron-Capture Rate
• Stability of super-Chandrasekhar magnetic white dwarfs
• Gamow-Teller response and its spreading mechanism in doubly magic nuclei
• Stellar electron-capture rates in pf-shell nuclei from quasiparticle random-phase approximation calculations
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Stellar weak decay rates in neutron-deficient medium-mass nuclei
• Unblocking of stellar electron capture for neutron-rich $N=50$ nuclei at finite temperature
• Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects
• Stellar electron capture rates on neutron-rich nuclei and their impact on core-collapse
• 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
• Stellar electron capture rates based on finite temperature relativistic quasiparticle random-phase approximation
• The quest for novel modes of excitation in exotic nuclei
• Impact of electron capture rates on nuclei far from stability on core-collapse supernovae
• Contribution of excited states to stellar weak-interaction rates in odd-A nuclei
• Nuclear Weak Rates and Nuclear Weak Processes in Stars
• Neutral-current neutrino-nucleus cross sections based on relativistic nuclear energy density functional
• Thermal quasiparticle random-phase approximation calculations of stellar electron capture rates with the Skyrme effective interaction
• Finite-temperature electron-capture rates for neutron-rich nuclei around N=50 and effects on core-collapse supernovae simulations
• Electron capture cross sections and nuclear partition functions for fp-shell nuclei
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Description of ${}^{93}$Nb stellar electron-capture rates by the Projected Shell Model
• $\beta$-decay half-lives at finite temperatures for N=82 isotones
• Sensitivity of $\beta$-decay rates to the radial dependence of the nucleon effective mass
• Nuclear Structure Properties of even-even Chromium Isotopes and the E ect of Deformation on Calculated Electron Capture Cross Sections
• The Skyrme-TQRPA calculations of electron capture on hot nuclei in pre-supernova environment
• Nuclear Structure Properties and Stellar Weak Rates for 76Se: Unblocking of the Gamow Teller Strength
• Study of Gamow-Teller strength and associated weak-rates on odd-A nuclei in stellar matter
• Validity of Brink Axel Hypothesis for calculations of allowed stellar weak rates of heavy nuclei
• Effect of Nuclear Deformation on Electron Capture Cross-section on Chromium Isotopes
• Fine-Grid Calculations for Stellar Electron and Positron Capture Rates on Fe-Isotopes