Deformation dependence of 2p-radioactivity half-lives: probe with a new formula across the mass region with Z < 82

Abstract Effect of deformation on half-life two-proton (2p) radioactivity is investigated across the periodic chart for nuclei with Z < 82. 2p-decay half-lives are estimated by employing our newly proposed semi-empirical formula wherein nuclear has been incorporated in a phenomenological way. Robustness demonstrated as it estimates measured values quite accurately and, hence, reliably applied to predict other possible 2p-emitters. For many proton rich which experimental data decay energies not available, we have used theoretical obtained from calculations using relativistic mean-field approach. The uncertainties energy minimised machine learning technique. Correlation 2p-radioactivity 2p-halo and probed. Our show phenomenon shape coexistence several 2p-emitters, prolate found be more predominant ground state.