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

In the present work, we have studied the alpha-like clusters (Be-8, C-12, O-16, Ne-20, and Mg-24) decay half-lives in the trans-tin region for (Xe106-116, Ba108-120, Ce114-126, and Nd118-128) and in transition metal region for (Hf156-166, W158-172, Os160-174, Pt166-180, and Hg170-182) 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 Sn-100 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.