A simple model for two-proton radioactivity

• Published in: Chinese physics C 2024-10, Vol.48 (10), p.104108
• Main Authors: Jiang 蒋, Jie-Dong 杰栋, Liu 刘, Xiao 潇, Zhang 张, Dong-Meng 冬萌, Li 李, Ming 明, Wu 吴, Xi-Jun 喜军, Li 李, Xiao-Hua 小华
• Format: Article
• Language: English
• ISSN: 1674-1137; 2058-6132
• DOI: 10.1088/1674-1137/ad6417

In this work, considering the preformation factor of the emitted two protons in parent nucleus and the effect of the parent nucleus deformation, based on the Wentzel-Kramers-Brillouin approximation and Bohr-Sommerfeld quantization condition, we improve a simple phenomenological model proposed by Bayrak [J. Phys. G: 47 , 025102 (2020)] to systematically study radioactivity half-lives. This model contains two adjustable parameters and , which are related to the depth of nuclear potential and effect of deformation. The calculated results show that this model can effectively reproduce the experimental data with a corresponding root-mean-square (RMS) standard deviation of σ = 0.683. For comparison, we include the Gamow-like model (GLM) proposed by Liu et al . [Chin. Phys. C 45 , 044110 (2021)], generalized liquid drop model (GLDM) proposed by Cui et al . [Phys. Rev. C 101 , 014301 (2020)], effective liquid drop model (ELDM) proposed by M. Gonalves et al . [Phys. Lett. B 774 , 14 (2017)], two-potential approach with Skyrme-Hartree-Fock (TPASHF) proposed by Pan et al . [Chin. Phys. C 45 , 124104 (2021)], phenomenological model with a screened electrostatic barrier (SEB) propoesed by Zou et al . [Chin. Phys. C 45 , 104101 (2021)], unified fission model (UFM) proposed by Xing et al . [Chin. Phys. C 45 , 124105 (2021)], Coulomb and proximity potential model for deformed nuclei (CPPMDN) proposed by Santhosh [Phys. Rev. C 104 , 064613 (2021)], two-parameter empirical formula proposed by Liu et al . [Chin. Phys. C 45 , 024108 (2021)], and four-parameter empirical formula proposed by Sreeja et al . [Eur. Phys. J. A 55 , 33 (2019)]. In addition, we use this model to predict the radioactive half-lives of some possible potential nuclei whose radioactivity are energetically allowed or observed but not yet quantified in NUBASE2020.