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

In this study, a phenomenological model is proposed based on Wentzel-Kramers-Brillouin (WKB) theory and applied to investigate the two-proton (2p) radioactive half-lives of nuclei near or beyond the proton drip line. The total diproton-daughter nucleus interaction potential is composed of the Hulthen-type electrostatic term and the centrifugal term. The calculated 2p radioactive half-lives can accurately reproduce the existing 10 experimental 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 or observed but not yet quantified in NUBASE2016. The predicted results are in agreement with those obtained using the Gamow-like model, generalized liquid drop model, Sreeja formula, and Liu formula.

Automated summary

A phenomenological model based on WKB theory is proposed in this study to investigate the 2p radioactive half-lives of nuclei near or beyond the proton drip line. The model accurately reproduces experimental data and is extended to predict the half-lives of possible 2p radioactive nuclei. The predicted results are in agreement with those obtained using other models such as the Gamow-like model, generalized liquid drop model, Sreeja formula, and Liu formula.