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Proton radioactivity is an important and common process of the naturalradioactivity of proton-rich nuclei. In our previous work [J. H. Cheng et al.,Nucl. Rhys. A 997, 121717 (2020)], we systematically studied the protonradioactivity half-lives of 53< Z <83 nuclei within the two-potential approachwith Skyrme-Hartree-Fock. The calculations can well reproduce the experimentaldata of spherical nuclei. The present work is an extension of the previouswork. We systematically study 32 proton radioactivity half-lives of sphericalnuclei with the two-potential approach with Skyrme-Hartree-Fock (TPA-SHF)within 115 different versions of the Skyrme interactions. The calculatedresults indicate that the SLy7 Skyrme interaction gives the lowest r.m.s.deviation in the description of the experimental data of the spherical protonemitters among all the different versions of the Skyrme interactions. Inaddition, we use this model with the SLy7 Skyrme interaction to predict theproton radioactivity half-lives of 7 spherical nuclei in the same region, whoseproton radioactivity is energetically allowed or has been observed but is notyet quantified.

Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions