Regular Article - Theoretical Physics
A unified formula for decay half-lives
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
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.
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