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  1. Home
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Browsing by Author "Mustapha Abolaji Hammad"

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    Effect of Deformation on Alpha Decay of Super-Heavy Nuclei within a Woods-Saxon model
    (Nigerian Society of Physical Sciences, 2025-03-23) Surajudeen Shittu; Mustapha Abolaji Hammad
    In this research, alpha decay study of super-heavy nuclei has been carried out by employing the Woods-Saxon model potential. The spherical and deformed Woods-Saxon model have been employed to investigate the effect of deformation on the super-heavy nuclei via alpha decay. When compared with experimental data, the two models are found to perform very well in describing the experimental half-life data. Moreover, results obtained by considering deformation is found to give better agreement with the experimental data than the results using spherical configuration. This is mainly because the super-heavy nuclei have non-zero deformation parameters. The study concludes that deformation should be considered when studying super-heavy nuclei, and that the deformed Woods-Saxon model is more complete in describing the interaction between the alpha decay and the daughter nuclei as it has a low standard deviation value of 0.5012 compared to 0.6260 when only sphericity is considered.
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    Effects of finite-range exchange terms and deformation on the α-decay half-lives using the B3Y NN interaction
    (American Physical Society, 2025-02-28) Yahya Akanni Wasiu; Majekodunmi Tolulope Joshua; van der Vendel S I B; Mustapha Abolaji Hammad; Mukeru Bahati
    An 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.

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