Nuclear $\beta$-decay half-lives in the relativistic point-coupling model

Abstract

The self-consistent proton-neutron quasiparticle random phase approximation approach is employed to calculate $\beta$-decay half-lives of neutron-rich even-even nuclei with $8⩽Z⩽30$. A newly proposed nonlinear point-coupling effective interaction PC-PK1 is used in the calculations. It is found that the isoscalar proton-neutron pairing interaction can significantly reduce $\beta$-decay half-lives. With an isospin-dependent isoscalar proton-neutron pairing strength, our results well reproduce the experimental $\beta$-decay half-lives, although the pairing strength is not adjusted using the half-lives calculated in this study.

5 pages, 4 figures

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• Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
• Calculation of $\beta$-decay half-lives with Skyrme Hartree-Fock-Bogoliubov+$pn$-QRPA and isoscalar pairing strengths optimized by a Bayesian method
• Finite-temperature electron-capture rates for neutron-rich nuclei around N=50 and effects on core-collapse supernovae simulations
• Investigation of effects of pairing correlations on calculated $\beta$-decay half-lives of fp-shell nuclei
• On the role of pairing correlations in calculation of \b{eta}-decay half-lives within QRPA formalism
• Investigation of pairing correlations on computed Gamow-Teller strength distributions and associated $\beta$-decay half-lives
• Investigation of $\beta$-decay properties of neutron-rich Cerium isotopes
• Impact of the nuclear mass uncertainties on the r process