Cluster formation probability in the trans-tin and trans-lead nuclei

TL;DR

This study calculates cluster formation probabilities in trans-tin and trans-lead nuclei using the Coulomb and proximity potential model, revealing specific clusters with maximum probabilities and highlighting differences in alpha and non-alpha cluster emissions.

Contribution

It introduces a detailed calculation of cluster formation probabilities in specific nuclear regions, emphasizing the role of neutron-proton symmetry and asymmetry in cluster emission.

Findings

12C, 16O, 20Ne, 24Mg clusters have highest probability in trans-tin region.

14C, 18O, 20O, 23F, 24,26Ne, 28,30Mg, 34Si clusters are most probable in trans-lead region.

Alpha-like clusters dominate in trans-tin, non-alpha clusters in trans-lead.

Abstract

Within our fission model, the Coulomb and proximity potential model (CPPM) cluster formation probabilities are calculated for different clusters ranging from carbon to silicon for the parents in the trans-tin and trans- lead regions. It is found that in trans-tin region the 12^C, 16^O, 20^Ne and 24^Mg clusters have maximum cluster formation probability and lowest half lives as compared to other clusters. In trans-lead region the 14^C, 18, 20^O, 23^F, 24,26^Ne, 28,30^Mg and 34^Si clusters have the maximum cluster formation probability and minimum half life, which show that alpha like clusters are most probable for emission from trans-tin region while non-alpha clusters are probable from trans-lead region. These results stress the role of neutron proton symmetry and asymmetry of daughter nuclei in these two cases.