2023/08/06 by Saxena, G., Jain, A.
#FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2308.03180
A simple relation (aZc + b)(Zd/Q)1/2 + (cZc + d) of estimation of the half-life of cluster emission is further improved for cluster and α-decays, separately, by incorporating isospin of parent nucleus as well as angular momentum taken away by the emitted particle. This improved version is not only found robust in producing experimental half-lives belonging to the trans-tin and trans-lead regions but also elucidates cluster emission in superheavy nuclei over the usual α-decay. Considering daughter nuclei around the doubly magic 100Sn and 208Pb nuclei for trans-tin and trans-lead (including superheavy) parents, respectively, a systematic and extensive study of 56≤Z≤120 isotopes is performed for the light and heavy cluster emissions. A fair competition among cluster emission, α-decay, spontaneous fission, and β-decay is observed in this broad range resulting in a substantial probability of C to Sr clusters from several nuclei, which demonstrates the adequacy of shell effects. The present article proposes a single, improved, latest-fitted, and effective formula of cluster radioactivity that can be used to estimate precise half-lives for a wide range of the periodic chart from trans-tin to superheavy nuclei.