https://doi.org/10.1140/epja/s10050-022-00812-9
Regular Article - Theoretical Physics
A unified formula for 
decay half-lives
1
School of Nuclear Science and Technology, University of South China, 421001, Hengyang, People’s Republic of China
2
School of Math and Physics, University of South China, 421001, Hengyang, People’s Republic of China
3
College of Physics and Electronics, Central South University, 410083, Changsha, People’s Republic of China
4
National Exemplary Base for International Sci and Tech. Collaboration of Nuclear Energy and Nuclear Safety, University of South China, 421001, Hengyang, People’s Republic of China
5
Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, 421001, Hengyang, People’s Republic of China
6
Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, 410081, Changsha, People’s Republic of China
Received:
16
May
2022
Accepted:
6
August
2022
Published online:
1
September
2022
Based on the Hatsukawa formula (Hatsukawa et al. in Phys Rev C 42:674, 1990), modifying the coefficient F(Z) and considering the blocking effect of unpaired nucleons, in our previous work (Xu and Liu in Eur Phys J A 58:16, 2022) we proposed an improved semi-empirical formula for evaluating the favored decay half-lives. In this work, considering the contribution of centrifugal potential, we generalize this formula to unfavored decay and propose a unified formula for decay half-lives. Using this formula, we systematically calculate the unfavored decay half-lives of 130 odd-A and 78 odd–odd nuclei with the corresponding root-mean-square (rms) deviations being 0.503 and 0.603, respectively. Meanwhile the rms deviation of decay half-lives for all the 700 nuclei taken from NUBASE2020 is only 0.380. Moreover, we extend this formula to predict the decay half-lives of 144 even–even, odd-A and odd–odd nuclei with Z = 117, 118, 119 and 120. For comparison, the unitary Royer formula (DZR) (Deng et al. in Phys Rev C 101:034307, 2020) proposed by Deng et al. and the modified universal decay law (MUDL) (Soylu and Qi in Nucl Phys A 1013:122221, 2021) proposed by Soylu et al. are also used. The predictions of these formulas are basically consistent with each other.
Copyright comment Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
