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

TL;DR

This study extends previous work on proton radioactivity half-lives of spherical nuclei by systematically analyzing 32 cases using various Skyrme interactions, identifying SLy7 as the most accurate, and predicting half-lives for unmeasured nuclei.

Contribution

It provides a comprehensive comparison of Skyrme interactions for modeling proton radioactivity and offers new predictions for unmeasured spherical nuclei.

Findings

SLy7 Skyrme interaction yields the lowest deviation from experimental data.

The model successfully reproduces known half-lives of spherical proton emitters.

Predictions for half-lives of 7 unmeasured spherical nuclei are provided.

Abstract

Proton radioactivity is an important and common process of the natural radioactivity of proton-rich nuclei. In our previous work [J. H. Cheng et al., Nucl. Rhys. A 997, 121717 (2020)], we systematically studied the proton radioactivity half-lives of 53< Z <83 nuclei within the two-potential approach with Skyrme-Hartree-Fock. The calculations can well reproduce the experimental data of spherical nuclei. The present work is an extension of the previous work. We systematically study 32 proton radioactivity half-lives of spherical nuclei with the two-potential approach with Skyrme-Hartree-Fock (TPA-SHF) within 115 different versions of the Skyrme interactions. The calculated results indicate that the SLy7 Skyrme interaction gives the lowest r.m.s. deviation in the description of the experimental data of the spherical proton emitters among all the different versions of the Skyrme interactions. In addition, we use this model with the SLy7 Skyrme interaction to predict the proton radioactivity half-lives of 7 spherical nuclei in the same region, whose proton radioactivity is energetically allowed or has been observed but is not yet quantified.