Systematic study of two-proton radioactivity half-lives within the two-potential approach with Skyrme-Hartree-Fock

In this work, we systematically study the two-proton( \begin{document}$2p$\end{document} ) radioactivity half-lives using the two-potential approach while the nuclear potential is obtained by using Skyrme-Hartree-Fock approach with the Skyrme effective interaction of SLy8. For true \begin{document}$2p$\end{document} radioactivity( \begin{document}$Q_{2p}$\end{document} \begin{document}$>$\end{document} 0 and \begin{document}$Q_p$\end{document} \begin{document}$ 0, where the \begin{document}$Q_p$\end{document} and \begin{document}$Q_{2p}$\end{document} are the released energy of the one-proton and two-proton radioactivity), the standard deviation between the experimental half-lives and our theoretical calculations is 0.701. In addition, we extend this model to predict the half-lives of 15 possible \begin{document}$2p$\end{document} radioactivity candidates with \begin{document}$Q_{2p}$\end{document} \begin{document}$>$\end{document} 0 taken from the evaluated atomic mass table AME2016. The calculated results indicate that a clear linear relationship between the logarithmic \begin{document}$2p$\end{document} radioactivity half-lives \begin{document}$\rm{log}_{10}T_{1/2}$\end{document} and coulomb parameters [ ( \begin{document}$Z_{d}^{0.8}$\end{document} + \begin{document}${l}^{\,0.25}$\end{document} ) \begin{document}$Q_{2p}^{-1/2}$\end{document} ] considered the effect of orbital angular momentum proposed by Liu \begin{document}$et$\end{document} \begin{document}$al$\end{document} [Chin. Phys. C 45, 024108 (2021)] is also existed. For comparison, the generalized liquid drop model(GLDM), the effective liquid drop model(ELDM) and Gamow-like model are also used. Our predicted results are consistent with the ones obtained by the other models.