Improved semi-empirical formula for cluster radioactivity half-lives

• Published in: International journal of modern physics. E, Nuclear physics Vol. 33; no. 8
• Main Authors: Liu, Xiao, Jiang, Jie-Dong, Li, Ming, Chen, Xun, Wu, Xi-Jun, Li, Xiao-Hua
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 01.08.2024; World Scientific Publishing Co. Pte., Ltd
• Subjects: Clusters; Deformation effects; Deviation; Half-life; Lead isotopes; Nuclei; Radioactivity; Research Article; Geiger–Nuttall law; half-life; Cluster radioactivity
• ISSN: 0218-3013; 1793-6608
• DOI: 10.1142/S0218301324500289

An improved semi-empirical formula for cluster radioactivity half-lives is proposed by incorporating the influences of reduced mass, the blocking effect of unpaired nucleons and mass asymmetry on the basis of the original Tavares formula [Eur. Phys. J. A 49 (2013) 6]. Using this improved semi-empirical formula, the calculated results of the cluster radioactivity half-lives for the daughter nuclei around 2 0 8 Pb or its neighbors can reproduce the experimental data well with a corresponding root-mean-square deviation σ = 0.570, which proves the feasibility of this formula to calculate cluster radioactivity half-lives in trans-lead nuclei. The accuracy of the improved semi-empirical formula is improved by approximately 37% compared to its predecessor whose the root-mean-square deviation is 0.902. Meanwhile, the influence of deformation effect for cluster radioactivity is also briefly discussed. In addition, we extend this improved semi-empirical formula to predict the half-lives of 51 possible cluster radioactive candidates whose cluster radioactivity are energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, some empirical and/or semi-empirical formulae are also used.