Eur. Phys. J. A (2022) 58: 16
https://doi.org/10.1140/epja/s10050-022-00666-1

Regular Article- Theoretical Physics

An improved formula for the favored decay half-lives

¹ School of Nuclear Science and Technology, University of South China, 421001, Hengyang, China
² Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, 421001, Hengyang, China
³ National Exemplary Base for International Sci and Technology Collaboration of Nuclear Energy and Nuclear Safety, University of South China, 421001, Hengyang, China
⁴ The Research Center for Theoretical Physics Science School, Qingdao University of Technology, 266033, Qingdao, China

^f lixiaohuaphysics@126.com

Received: 23 November 2021
Accepted: 9 January 2022
Published online: 3 February 2022

Abstract

In the present work, based on the Hatsukawa formula (Phys Rev C 42:674, 1990), modifying the coefficient F(Z) of decay half-lives which depends on the proton number of parent nucleus Z and considering the blocking effect of unpaired nucleons, we propose an improved semi-empirical formula for evaluating the favored decay half-lives of even–even, odd-A and odd–odd nuclei. This formula can reproduce the experimental data of favored decay half-lives taken from NUBASE2020 well. The corresponding root-mean-square (rms) deviations are reduced from 0.316, 0.366 and 0.398 to 0.237, 0.318 and 0.273 for even–even, odd-A and odd–odd nuclei, respectively. Moreover, we extend this formula to predict the decay half-lives of 64 even–even nuclei with 104 128 whose decay are energetically allowed or observed but not yet quantified. For comparison, the Viola–Seaborg–Sobiczewski formula (VSS) proposed by Sobiczewski et al. and the universal decay law (UDL) proposed by Qi et al. are also used. The results indicate that our predictions are basically consistent with the ones of VSS and UDL.