Cluster decay half-lives using modified generalized liquid drop model (MGLDM) with different pre-formation factors

Abstract

Cluster decay from 212–240Pa, 219–245Np, 228–246Pu, 230–249Am, and 232–252Cm has been studied by including three different pre-formation factors that depend on cluster size, atomic number of cluster and daughter nuclei, and Q value in MGLDM, an approach developed by modifying GLDM with proximity 77 potential. In MGLDM, where Q value-dependent pre-formation factor is added, the standard deviation of logarithmic half-lives was found to be 0.83, and the experimental half-lives were successfully reproduced using MGLDM with cluster size-dependent, and atomic number of cluster and daughter nuclei-dependent pre-formation factor with a standard deviation of 0.58 and 0.63, respectively. The half-lives of heavy elements in trans-lead region emitting 22Ne, 24Ne, 26Mg, 28Mg, 32Si and 33Si clusters, which have not been experimentally determined so far, have been predicted by incorporating three types of pre-formation factors to MGLDM. As all the predicted half-lives are below 1030s and are within the experimentally measurable range, we hope that our present predictions would be helpful for future studies in this field.