Cluster decay half-lives in trans-tin and transition metal region using RMF theory

Abstract

In the present work, we have studied the alpha-like clusters (8Be, 12C, 16O, 20Ne, and 24Mg) decay half-lives in the trans-tin region for (106–116Xe, 108–120Ba, 114–126Ce, and 118–128Nd) and in transition metal region for (156–166Hf, 158–172W, 160–174Os, 166–180Pt, and 170–182Hg) nuclei. These half-lives have been calculated using the shape parametrization model of cluster decay in conjunction with the axially deformed relativistic mean-field model with the NL3* parameter set. They are also compared with the half-lives computed using the latest empirical relations, namely universal decay law and the scaling law was given by Horoi et al. It has been observed that in the trans-tin region the minimum cluster decay half-lives are found at nearly doubly magic or doubly magic daughter 100Sn nucleus (N d = 50, N d is the neutron number of the daughter nucleus) and in transition metal region at N d = 82, which is a magic number. The Geiger–Nuttal plots of half-lives showing Q dependence for different alpha-like clusters from various cluster radioactive emitters are found to vary linearly.