β-decay half-lives at finite temperatures forN=82isotones

Abstract

Using the finite-temperature quasiparticle random phase approximation (FTQRPA) on the basis of the finite-temperature Skyrme-Hartree-Fock$ + $Bardeen-Cooper-Schrieffer (BCS) method, we study ${\ensuremath{\beta}}^{\ensuremath{-}}$-decay half-lives for even-even neutron magic nuclei with $N=82$ in a finite-temperature environment. We find that the ${\ensuremath{\beta}}^{\ensuremath{-}}$-decay half-life first decreases as the temperature increases for all the nuclei we study, although the thermal effect is found to be small at temperatures relevant to $r$-process nucleosynthesis. Our calculations indicate that the half-life begins to increase at high temperatures for open-shell nuclei. We discuss this behavior in connection to the pairing phase transition.