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Systematic study on \(\alpha \)-decay half-lives: a new dependency of effective sharp radius on \(\alpha \)-decay energy

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Abstract

Within the framework of the proximity formalism, we present a systematic study to analyze the effects of the \(\alpha \)-decay energy through the effective sharp radius parameter on the \(\alpha \)-decay half-lives of 227 nuclei in the range \(61 \le Z \le 99\). Wentzel-Kramers-Brillouin (WKB) calculations with the proximity potential Zhang 2013 are carried out to obtain the theoretical values of the \(\alpha \)-decay half-lives. In this work, we introduce a new \(Q_{\alpha }\)-dependent (QD) form of the effective sharp radius which significantly reduces the standard deviation of estimated half-lives using the Zhang 2013 model in comparison with the corresponding experimental data in our selected mass range. We evaluate the validity of this simple formula using the Geiger-Nuttall (G-N) plots and semi-empirical formulas. The modified form of the Zhang 2013 model is also found to work well in \(\alpha \)-decay studies of superheavy nuclei (SHN) with \(Z=117-120\). Our results reveal that the calculated half-lives for the use of new proposed form of the effective sharp radius in the proximity potential can reproduce the closed-shell effects at neutron magic number \(N=126\) and \(N=184\).

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All calculations provided during the current study are available from the corresponding author on reasonable request.]

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Acknowledgements

The authors would like to thank Prof. Chong Qi for the valuable comments and discussions to improve the manuscript.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Iran

    R. Gharaei

  2. Department of Physics, Faculty of Science, University of Mazandaran, P.O. Box 47415-416, Babolsar, Iran

    F. Kamelan Najjar

  3. Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, P.O. Box 91775-1436, Mashhad, Iran

    N. Ghal-Eh

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  1. R. Gharaei
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Correspondence to R. Gharaei.

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Communicated by Pierre Capel

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Gharaei, R., Najjar, F.K. & Ghal-Eh, N. Systematic study on \(\alpha \)-decay half-lives: a new dependency of effective sharp radius on \(\alpha \)-decay energy. Eur. Phys. J. A 57, 104 (2021). https://doi.org/10.1140/epja/s10050-021-00419-6

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