Author:
Zhu 朱 Xiao-Yan 小彦,Luo 骆 Song 松,Qi 亓 Lin-Jing 林静,Zhang 张 Dong-Meng 冬萌,Li 李 Xiao-Hua 小华,Lin 林 Wen-Bin 文斌
Abstract
Abstract
In this study, considering the modified preformation probability
to be
, where
and
are the α-particle preformation probability and an adjustable parameter proposed by Wang et al. [Chin. Phys. C 45, 044111 (2021)], respectively, we extend a new simple model put forward by Bayrak [J. Phys. G 47, 025102 (2020)] to systematically study the cluster radioactivity half-lives of 28 trans-lead nuclei ranging from
to
, which is based on the Wentzel-Kramers-Brillouin approximation and Bohr–Sommerfeld quantization condition. For comparison, a universal decay law proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a three-parameter model-independent formula put forward by Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)], and the semi-empirical model proposed by Tavares et al. [Eur. Phys. J. A 49, 1 (2013)] are used. Our calculated results reproduce the experimental data well, with a standard deviation of 0.818. Furthermore, we use this model to predict the cluster radioactivity half-lives of 51 possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in NUBASE2020.
Subject
Astronomy and Astrophysics,Instrumentation,Nuclear and High Energy Physics