https://doi.org/10.1140/epja/s10050-023-01162-w
Regular Article - Theoretical Physics
Cluster radioactivity half-lives of trans-lead nuclei with a statistical physical preformation factor
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 Science and Technology Collaboration of Nuclear Energy and Nuclear Safety, University of South China, 421001, Hengyang, China
4
College of Physics and Electronics, Central South University, 410083, Changsha, China
5
The Research Center for Theoretical Physics, Science School, Qingdao University of Technology, 266033, Qingdao, China
Received:
6
July
2023
Accepted:
9
October
2023
Published online:
4
November
2023
In the present work, based on Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (
) in statistical physical way (Eur Phys J A 41:197, 2009), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from 
Fr to 
Cm. For comparison, a universal decay law (UDL) proposed by Qi et al. (Phys Rev C 80:044326, 2009), a model-independent formula for cluster radioactivity half-lives proposed by Balasubramaniam et al. (Phys Rev C 70:017301, 2004) and a general law for the emission of charged particles and exotic cluter radioactivity proposed by Sahu et al. (Nucl Phys A 908:17, 2013) are also used. The calculated results in our work, UDL, Balasubramaniam’s formula as well as Sahu’ s formula are basically consistent and can well reproduce the experimental data. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but yet not quantified in NUBASE2020.
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