Systematic study of cluster radioactivity within the generalized liquid drop model  

作　　者：邓军刚 程俊皓 包小军 张鸿飞 Jun-Gang Den;Jun-Hao Cheng;Xiao-Jun Bao;Hong-Fei Zhang(College of Science,China Three Gorges University,Yichang 443002,China;Center for Astronomy and Space Sciences,China Three Gorges University,Yichang 443002,China;Department of Physics,National University of Defense Technology,Changsha 410073,China;Department of Physics,Collaborative Innovation Center for Quantum Effects,and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,Hunan Normal University,Changsha 410081,China;School of Physics,Xi'an Jiaotong University,Xi'an 710049,China)

机构地区：[1]College of Science,China Three Gorges University,Yichang 443002,China [2]Center for Astronomy and Space Sciences,China Three Gorges University,Yichang 443002,China [3]Department of Physics,National University of Defense Technology,Changsha 410073,China [4]Department of Physics,Collaborative Innovation Center for Quantum Effects,and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,Hunan Normal University,Changsha 410081,China [5]School of Physics,Xi'an Jiaotong University,Xi'an 710049,China

出　　处：《Chinese Physics C》2024年第6期118-129,共12页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(12175170);Hubei Provincial Natural Science Foundation of China(2023AFB035);Hunan Outstanding Youth Science Foundation(2022JJ10031);Natural Science Research Project of Yichang City(A23-2-028)。

摘　　要：Cluster radioactivity is studied within the generalized liquid drop model(GLDM),in which the shell correction energy,pairing energy,and cluster preformation factor are considered.The calculations show significant improvements and can reproduce the experimental data within a factor of 8.04 after considering these physical effects.In addition,the systematic trend of the cluster preformation factors is discussed in terms of the N_(p)N_(n)scheme to study the influence of the valence proton-neutron interaction and shell effect on cluster radioactivity.It is found that log10Pcis linearly related to N_(p)N_(n).This is in agreement with a recent study[L.Qi et al.,Phys.Rev.C 108,014325(2023)],in which log10Pc,obtained using different theoretical models and treatment methods than those used in this study,also had a linear relationship with N_(p)N_(n).Combined with the work by Qi et al.,this study suggests that the linear relationship between log10Pcand N_(p)N_(n)is model-independent and both the shell effect and valence proton-neutron interaction play essential roles in cluster radioactivity.An analytical formula is proposed to calculate the cluster preformation factor based on the N_(p)N_(n)scheme.In addition,the cluster preformation factors and the cluster radioactivity half-lives of some heavy nuclei are predicted,which can provide a reference for future experiments.

关 键 词：cluster radioactivity cluster preformation factor shell effect generalized liquid drop model 

分 类 号：O571[理学—粒子物理与原子核物理]