Systematic study of two-proton radioactivity half-lives using two-potential approach with different Skyrme interactions

Abstract

In this work, based on the two-potential approach, we systematically study the true two-proton([Formula: see text]) radioactivity ([Formula: see text] and [Formula: see text], where the [Formula: see text] and [Formula: see text] are the released energies corresponding to the two-proton and one-proton radioactivity) half-lives of nuclei near or beyond the proton drip line while the nuclear potential is obtained by using Skyrme energy density functional theory. The influence of 115 different versions of the Skyrme interactions on [Formula: see text] radioactivity half-lives was systematically compared. The calculated results indicate that Skz4 Skyrme interaction gives the lowest r.m.s. deviation between the experimental half-lives and calculated ones. Moreover, we extend this model with Skz4 Skyrme interaction to predict the half-lives of 42 possible [Formula: see text] radioactivity candidates whose [Formula: see text] radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. The predicted results are in agreement with those obtained by using the generalized liquid drop model, the unified fission model and Gamow-like model.