Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing

Abstract

Self-consistent proton-neutron quasiparticle random phase approximation based on the spherical nonlinear point-coupling relativistic Hartree-Bogoliubov theory is established and used to investigate the ${\beta }^{+}$/EC-decay half-lives of neutron-deficient Ar, Ca, Ti, Fe, Ni, Zn, Cd, and Sn isotopes. The isoscalar proton-neutron pairing is found to play an important role in reducing the decay half-lives, which is consistent with the same mechanism in the $\beta$ decays of neutron-rich nuclei. The experimental ${\beta }^{+}$/EC-decay half-lives can be well reproduced by a universal isoscalar proton-neutron pairing strength.

12 pages, 4 figures

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