https://doi.org/10.1140/epja/s10050-025-01629-y
Regular Article - Theoretical Physics
Comparative study of α-decay half-lives for Au, Hg, and Tl isotopes using the MGLDM, empirical formulae, and NpNn-based preformation probabilities
1
Department of Physics, University of Calicut, 673635, Thenhipalam, Kerala, India
2
School of Pure and Applied Physics, Kannur University, Swami Anandatheertha Campus, 670327, Payyanur, Kerala, India
Received:
6
February
2025
Accepted:
27
June
2025
Published online:
18
July
2025
The alpha decay half-lives of Au, Hg, and Tl isotopes in the mass number range 168–198 have been investigated using the Modified Generalized Liquid Drop Model (MGLDM). In addition, we calculated the half-lives using ten different empirical formulae. The dependability of various methods is analyzed by comparing the predicted half-lives with experimental values. The MGLDM with preformation factor gives the standard deviation of 0.5923, and Modified Empirical Royer Formula (MERF) gives a value of 0.5734, which are the lowest values among model predictions and empirical formulae calculations, respectively. The New Geiger-Nuttal plot, which accommodates both favoured and unfavoured alpha transitions on a single linear curve, enhances the valuability of our model. The linear trends of the logarithmic preformation factors with the combinations of valence nucleons, shell closures, and isospin asymmetry are analysed, and this study reflects the shell effects of nuclear structure. The calculated half-lives using 
scheme in the framework of MGLDM are comparable with the experimental results with a small value of standard deviation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
