https://doi.org/10.1140/epja/s10050-024-01259-w
Regular Article - Theoretical Physics
A global study of 
-clusters decay in heavy and superheavy nuclei with half-life and preformation factor
1
Department of Physics (H & S), Government Women Engineering College, 305002, Ajmer, India
2
Department of Physics, Faculty of Science, University of Zagreb, HR-10000, Zagreb, Croatia
3
Government Polytechnic College, 313324, Rajsamand, India
4
Department of Computer Science and Engineering, Malviya National Institute of Technology, 302016, Jaipur, India
Received:
9
November
2023
Accepted:
1
February
2024
Published online:
5
March
2024
A detailed study of -clusters decay is exhibited by incorporating crucial microscopic nuclear structure information into the estimations of half-life and preformation factor. For the first time, using the k-cross validation approach, two semi-empirical formulas for (1) -decay half-life and (2) -particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on -decay energy (
) and angular momentum of -particle. Both the formulas are fitted for the two different regions separated by neutron number N 
126, as from the experimental systematics the role of N 126 shell closure is found decisive in determining the trends of , -decay half-life, and -particle preformation factor. It is found that the inclusion of the above-mentioned degrees of freedom significantly reduces the errors in the estimations when compared with several other similar modified/refitted semi-empirical relations indicating the robustness of the proposed formulas. The predictions of -decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus 
Ba terminated on 
Sn, decay chain of 
Pa through new isotope 
Ac as well as decay chains of awaiting superheavy nuclei 
Og and 
120. This article is expected to provide a systematic approach to selecting the formula by which reliable predictions can be made.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epja/s10050-024-01259-w.
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