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

• Published in: Indian journal of physics Vol. 95; no. 1; pp. 121 - 131
• Main Authors: Santhosh, K. P., Jose, Tinu Ann
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.01.2021; Springer Nature B.V
• Subjects: Astrophysics and Astroparticles; Atomic properties; Clusters; Decay; Drops (liquids); Half-life; Heavy elements; Original Paper; Physics; Physics and Astronomy; Standard deviation; 23.70.+j; Cluster radioactivity; Alpha radioactivity; Half-life; 23.60.+e; 27.90.+b
• ISSN: 0973-1458; 0974-9845
• DOI: 10.1007/s12648-020-01685-8

Cluster decay from 212–240 Pa, 219–245 Np, 228–246 Pu, 230–249 Am, and 232–252 Cm 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 22 Ne, 24 Ne, 26 Mg, 28 Mg, 32 Si and 33 Si 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.