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Density-Dependent Parametrizations in B3Y-Fetal NN Interaction: Application to Alpha Decay

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Abstract

The importance of alpha decay to understanding nuclear structure has been well established. To calculate alpha decay half-lives, the choice of the nuclear potential is important. The Michigan-3-Yukawa (M3Y) nucleon-nucleon (\(\textrm{NN}\)) effective interactions and \(\textrm{NN}\) effective interactions derived from relativistic mean field theory Lagrangian (R3Y) have been successfully used in alpha decay study within the double-folding model. In this study, we investigate the use of the microscopically deduced B3Y-Fetal effective interactions that stem from the lowest order constrained variational approach (LOCV) in studying alpha decay half-lives. Secondly, we study the effect of using various density-dependent parametrizations on alpha decay half-lives. We found that the density-dependent parametrization BDB3Y0-Fetal gives the best description of the alpha decay half-lives. Moreover, in order to predict the alpha decay half-lives of unmeasured superheavy nuclei with \(Z = 120\), an empirical preformation probability formula was obtained using the BDB3Y0-Fetal results and experimental data. The preformation formula obtained together with the \(Q_{\alpha }\) values derived from the Weizsäcker-Skyrme-type nuclear mass model with radial basis corrections (WS-type+RBF) and the BDB3Y0-Fetal \(\textrm{NN}\) interaction was used to predict the alpha decay half-lives of unmeasured superheavy nuclei with \(Z = 120\).

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Authors and Affiliations

  1. Department of Physics and Materials Science, Kwara State University, Malete, Ilorin, P.M.B. 1530, Kwara State, Nigeria

    W. A. Yahya, O. K. Azeez & G. D. Olawale

  2. Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau, 02600, Perlis, Malaysia

    J. T. Majekodunmi

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  1. W. A. Yahya
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Contributions

Conceptualization: W. A. Yahya. Methodology: W. A. Yahya and G. D. Olawale. Calculations: W. A. Yahya, G. D. Olawale, and O. K. Azeez. Writing—original draft preparation: W. A. Yahya, G. D. Olawale, and J. T. Majekodunmi.

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Yahya, W.A., Azeez, O.K., Majekodunmi, J.T. et al. Density-Dependent Parametrizations in B3Y-Fetal NN Interaction: Application to Alpha Decay. Braz J Phys 54, 74 (2024). https://doi.org/10.1007/s13538-024-01453-7

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