Proton radioactivity is an important and common process of the natural radioactivity of proton-rich nuclei. In our previous work (Cheng et al. in Nucl Rhys A 997: 121717, 2020), we systematically studied the proton radioactivity half-lives of \(53\le Z \le 83\) 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.

质子放射性是富质子核天然放射性的重要且普遍的过程。在我们以前的工作中（Cheng等人在Nucl Rhys A 997：121717，2020），我们系统地研究了\（53 \ le Z \ le 83 \）的质子放射性半衰期Skyrme–Hartree–Fock两势方法中的原子核。计算结果可以很好地再现球形核的实验数据。当前的工作是对先前工作的扩展。我们使用Skyrme–Hartree–Fock（TPA-SHF）的两种电位方法，在115种不同版本的Skyrme相互作用中系统地研究了32个球形核的质子放射性半衰期。计算结果表明，在所有不同版本的Skyrme相互作用中，球形质子发射体实验数据的描述中，SLy7 Skyrme相互作用给出的均方根偏差最小。此外，我们将此模型与SLy7 Skyrme相互作用一起使用，以预测同一区域中7个球形核的质子放射性半衰期，