Dirac-Brueckner-Hartree-Fock approach for proton radioactivity of spherical proton emitters

In this study, based on the two-potential approach (TPA), we systematically investigate the proton radioactivity half-lives of 32 spherical nuclei with $69\ensuremath{\le}Z\ensuremath{\le}81$ from the ground and/or isomeric state. While the nuclear potential of the emitted proton-daughter nucleus is obtained by using the Dirac-Brueckner-Hartree-Fock (DBHF) through the local density approximation (LDA), it is found that the calculated half-lives can reproduce the experimental data well. In addition, we extend this model to predict the half-lives of 8 spherical proton-emitting candidates whose proton radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, systematics of proton emission proposed by Delion et al. [Phys. Rev. Lett. 96, 072501 (2006)], the universal decay rule for reduced widths proposed by Delion et al. [Phys. Rev. C 80, 024310 (2009)], the universal decay law of proton radioactivity proposed by Qi et al. [Phys. Rev. C 85, 011303 (2012)], and the new Geiger-Nuttall law of proton radioactivity proposed by Chen et al. [Eur. Phys. J. A 55, 214 (2019)] are also used. All the predicted results are basically consistent with each other.