Strongly screening corrections to antineutrino energy loss by $\beta ^{-}$-decay of nuclides ⁵³Fe, ⁵⁴Fe, ⁵⁵Fe, and ⁵⁶Fe in supernova

Abstract

Based on the p-f shell-model, we discuss and calculate $\beta^{-}$-decay half-lives of neutron-rich nuclei, with a consideration of shell and pair effects, the decay energy, and the nucleon numbers. According to the linear response theory model, we study the effect of electron screening on the electron energy, beta-decay threshold energy, and the antineutrino energy loss rate by $\beta^{-}$-decay of some iron isotopes. We find that the electron screening antineutrino energy loss rates increase by about two orders of magnitude due to the shell effects and the pairing effect. Beta-decay rates with Q-value corrections due to strong electron screening are higher than those without the Q-value corrections by more than two orders of magnitude. Our conclusions may be helpful for the research on numerical simulations of the cooling of stars.