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Self-consistent proton-neutron quasiparticle random phase approximation basedon the spherical nonlinear point-coupling relativistic Hartree-Bogoliubovtheory is established and used to investigate the $\beta^+$/EC-decay half-livesof neutron-deficient Ar, Ca, Ti, Fe, Ni, Zn, Cd, and Sn isotopes. The isoscalarproton-neutron pairing is found to play an important role in reducing the decayhalf-lives, which is consistent with the same mechanism in the $\beta$ decaysof neutron-rich nuclei. The experimental $\beta^+$/EC-decay half-lives can bewell reproduced by a universal isoscalar proton-neutron pairing strength.

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