Cluster Radioactivity Study of Transition Metal Region Using RMF theory

Abstract

We have studied the clusters (C, O, and Ne) decay half-lives in the transition metal region (158−170W, 160−174Os, and 166−178Pt, respectively). These half-lives have been calculated using the effective liquid drop model (ELDM) of cluster decay in conjunction with the relativistic mean-field (RMF) model with the NL3* parameter set. Thus calculated cluster decay half-lives are also compared with the half-lives computed using the latest empirical relations, namely Universal decay law (UDL) and the Scaling Law was given by Horoi et al. From the calculated results, it has been observed that in the transition metal region, half-lives are minimum at Nd = 82 (Nd is the neutron number of the daughter nuclei), which is a magic number and shell effect at Nd = 82. Further, the Geiger-Nuttal plots of half-lives showing Q-value dependence for different alpha-like clusters from various CR emitters that have been plotted are found to vary linearly.