Examination of proton radioactivity in exotic nuclei with a deformed Gamow-like model

Abstract We have modified the Deformed Gamow-like Model (DGLM) by incorporating the impact of daughter nucleus deformation on the Coulomb interaction between the daughter nucleus and the emitted proton. Using this modified DGLM, we have systematically calculated the half-lives of both single-proton and two-proton radioactivity within a unified framework. The computational results demonstrate remarkable consistency with experimental radioactivity half-lives. Additionally, our study explores how deformation influences penetration probabilities and establishes a universal curve that relates penetration probability to experimental half-lives, thereby validating the efficacy of the DGLM. We also made unified predictions for the half-lives of potential single-proton and two-proton radioactive nuclei, which align well with other models, underscoring the reliability of the DGLM in predicting proton radioactivity.