https://doi.org/10.1140/epja/s10050-023-01102-8
Regular Article –Theoretical Physics
Cluster radioactivity from trans-tin to superheavy region using an improved empirical formula
1
Department of Physics (H &S), Govt. Women Engineering College, 305002, Ajmer, India
2
Department of Physics, Faculty of Science, University of Zagreb, Bijenic̆ka c. 32, 10000, Zagreb, Croatia
3
Department of Physics, School of Basic Sciences, Manipal University Jaipur, 303007, Jaipur, India
4
Department of Physics, S. S. Jain Subodh P. G. (Autonomous) College, 302004, Jaipur, India
Received:
19
May
2023
Accepted:
2
August
2023
Published online:
23
August
2023
A simple relation 
of estimation of the half-life of cluster emission is further improved for cluster and 
-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 -decay. Considering daughter nuclei around the doubly magic 
Sn and 
Pb 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, -decay, spontaneous fission, and 
-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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
