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

Cluster decay from Pa212-240, Np219-245, Pu228-246, Am230-249, and Cm232-252 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 Ne-22, Ne-24, Mg-26, Mg-28, Si-32 and Si-33 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 10(30)s and are within the experimentally measurable range, we hope that our present predictions would be helpful for future studies in this field.