Two-proton radioactivity within a generalized liquid drop model

Abstract

The generalized liquid drop model (GLDM) is first extended to study the two-proton $(2p)$ radioactivity half-lives of the ground state of nuclei. According to the comparison between the calculated half-lives and the experimental data, it is shown that the GLDM describes the $2p$ radioactivity half-lives well. In addition, by comparing its accuracy with other models, it is found that the GLDM has a comparable accuracy with them. Finally, the $2p$ radioactivity half-lives of some of the most probable candidates are predicted with the GLDM by inputting the ${Q}_{2p}$ values (the released energy of the $2p$ radioactivity) from the updated 2016 Atomic Mass Evaluation mass table, which may be useful for future experiments.