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In this study, a phenomenological model is proposed based onWentzel-Kramers-Brillouin (WKB) theory and applied to investigate thetwo-proton ($2p$) radioactive half-lives of nuclei near or beyond the protondrip line. The total diproton-daughter nucleus interaction potential iscomposed of the Hulthen-type electrostatic term and the centrifugal term. Thecalculated $2p$ radioactive half-lives can accurately reproduce the existing 10experimental datasets of five true $2p$ radioactive nuclei with $\sigma$ =0.736. In addition, we extend this model to predict the half-lives of possible$2p$ radioactive nuclei whose $2p$ radioactivity is energetically allowed orobserved but not yet quantified in NUBASE2016. The predicted results are inagreement with those obtained using the Gamow-like model, generalized liquiddrop model, Sreeja formula, and Liu formula.

Systematic study of two-proton radioactivity with a screened electrostatic barrier