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A global study of \(\alpha \)-clusters decay in heavy and superheavy nuclei with half-life and preformation factor

  • Regular Article - Theoretical Physics
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Abstract

A detailed study of \(\alpha \)-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) \(\alpha \)-decay half-life and (2) \(\alpha \)-particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on \(\alpha \)-decay energy (\(Q_{\alpha }\)) and angular momentum of \(\alpha \)-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 \(Q_{\alpha }\), \(\alpha \)-decay half-life, and \(\alpha \)-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 \(\alpha \)-decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus \(^{112}\)Ba terminated on \(^{100}\)Sn, decay chain of \(^{208}\)Pa through new isotope \(^{204}\)Ac as well as decay chains of awaiting superheavy nuclei \(^{298}\)Og and \(^{299}\)120. This article is expected to provide a systematic approach to selecting the formula by which reliable predictions can be made.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data may be provided on the request to the corresponding author.]

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Acknowledgements

GS acknowledges the support provided by SERB (DST), Govt. of India under SIR/2022/000566, and would like to thank Prof. Nils Paar for his kind hospitality at the University of Zagreb, Croatia. Authors are indebted to Riya Sailani, UOR, Jaipur, India for the discussions.

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Authors and Affiliations

  1. Department of Physics (H & S), Government Women Engineering College, Ajmer, 305002, India

    G. Saxena

  2. Department of Physics, Faculty of Science, University of Zagreb, HR-10000, Zagreb, Croatia

    G. Saxena

  3. Government Polytechnic College, Rajsamand, 313324, India

    P. K. Sharma

  4. Department of Computer Science and Engineering, Malviya National Institute of Technology, Jaipur, 302016, India

    Prafulla Saxena

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Saxena, G., Sharma, P.K. & Saxena, P. A global study of \(\alpha \)-clusters decay in heavy and superheavy nuclei with half-life and preformation factor. Eur. Phys. J. A 60, 50 (2024). https://doi.org/10.1140/epja/s10050-024-01259-w

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