STUDY OF TWO-PROTON EMISSION HALF-LIVES USING RELATIVISTIC MEAN-FIELD MODEL

We have performed calculations to study the ground-state properties, i.e., the binding energy per nucleon and two-proton separation energy of Fe, Ni, Zn, Ge, Kr, and Zr isotopes by using the relativistic mean-field (RMF) approach with the force parameter NL3*. The obtained results are in excellent agreement with the available experimental data. We have also performed systematic studies of the two-proton (2p) radioactivity, the two-proton decay energy (Q2p) using the RMF (NL3*) approach, the finite-range droplet model (FRDM), and the Weizsacker-Skyrme-4 (WS4). Then, the effective liquid drop model (ELDM) is applied to find out the two-proton decay half-lives using three kinds of evaluated Q2p values. The two-proton decay half-lives calculations are also carried out by using empirical formulas, namely Liu and Sreeja, and their comparisons with ELDM results are found to be in agreement. Also, we predict the half-lives of possible nuclei of the two-proton radioactivity in the range of 30 < Z < 40 with re-leased energy Q2p > 0 obtained by the RMF (NL3*) model. The estimated results reveal a clear linear connection between the logarithmic two-proton decay half-lives log10 T1/2 and Coulomb parameters [(Z0.8 d + l0.25) Q-1/2 2p ].