Effects of finite-range exchange terms and deformation on the α-decay half-lives using the B3Y NN interaction

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dc.contributor.authorYahya Akanni Wasiu
dc.contributor.authorMajekodunmi Tolulope Joshua
dc.contributor.authorvan der Vendel S I B
dc.contributor.authorMustapha Abolaji Hammad
dc.contributor.authorMukeru Bahati
dc.date.accessioned2025-12-08T13:26:28Z
dc.date.available2025-12-08T13:26:28Z
dc.date.issued2025-02-28
dc.description.abstractAn extensive study on the barrier properties and α-decay half-lives of nuclei within the mass range 89 ⩽Z ⩽102 is conducted using the effective Botswana-3-Yukawa (B3Y) NN interaction, incorporating finite- and zero-range exchange forces. A key novelty of this work is the systematic analysis of nuclear deformation and exchange effects on half-lives along the isotopic chains. Particularly, for the finite- and zero-range exchange terms, this study investigates the appropriate strength of the Weizsäcker term, Cs, which represents the surface contribution to the kinetic energy density. The penetration probability of the ground-state to ground-state α transitions is determined using the semiclassical Wentzel-Kramers-Brillouin (WKB) approximation by considering the Bohr-Sommerfeld quantization condition. The cluster formation model (CFM) is adopted to calculate the preformation probability Sα. The driving potential reveals a cold valley at the canonical magic number ND =126, affirming its shell closure property, while deformed subshell closures at N = 142 and N = 152 are also identified. These results align with predictions from Nilsson single-particle energies. A key finding of this study is that the inclusion of nuclear deformation significantly improves the accuracy of the calculated α-decay half-lives. The analysis also shows that the term Cs directly influences the nuclear surface energy, which in turn affects the potential barrier relevant to α decay. Specifically, a larger value of Cs = 1/4 increases the potential barrier, leading to longer half-lives, while a smaller value of Cs = 1/36 reduces the barrier, resulting in shorter half-lives. Importantly, for nuclei with Z ⩾ 96, calculations involving finite-range exchange terms at Cs = 1/36 yield the smallest root mean square error (RMSE), suggesting a better agreement with experimental data, and indicating its prospect for the study of superheavy nuclei.
dc.identifier.issn2469-9985
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/6403
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.ispartofseries111(2); 024322
dc.titleEffects of finite-range exchange terms and deformation on the α-decay half-lives using the B3Y NN interaction
dc.typeArticle
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