Thermal QRPA with Skyrme interactions and supernova neutral-current neutrino-nucleus reactions

Abstract

The Thermal Quasiparticle Random-Phase Approximation is combined with the Skyrme energy density functional method (Skyrme-TQRPA) to study the response of a hot nucleus to an external perturbation. For the sample nuclei, ${}^{56}$Fe and ${}^{82}$Ge, the Skyrme-TQRPA is applied to analyze thermal effects on the strength function of charge-neutral Gamow-Teller transitions which dominate neutrino-nucleus reactions at $E_{\nu }\lesssim 20$~MeV. For the relevant supernova temperatures we calculate the cross sections for inelastic neutrino scattering. We also apply the method to examine the rate of neutrino-antineutrino pair emission by hot nuclei. The cross sections and rates are compared with those obtained earlier from the TQRPA calculations based on the phenomenological Quasiparticle-Phonon Model Hamiltonian. For inelastic neutrino scattering on ${}^{56}$Fe we also compare the Skyrme-TQRPA results to those obtained earlier from a hybrid approach that combines shell-model and RPA calculations.

Minor revisions according to referee's recomendations

References in corpus (4)

• Theory of Core-Collapse Supernovae
• Neutrino-nucleus reactions and their role for supernova dynamics and nucleosynthesis
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Modification of the Brink-Axel Hypothesis for High Temperature Nuclear Weak Interactions

Cited by in corpus (6)

• Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects
• Thermal quasiparticle random-phase approximation calculations of stellar electron capture rates with the Skyrme effective interaction
• Neutrinos from pre-supernova in the framework of TQRPA method
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Neutrino spectrum and energy loss rates due to weak processes on hot ${}^{56}$Fe in pre-supernova environment
• Thermal and atomic effects on coupled-channels heavy-ion fusion