摘要
In this study,based on the framework of the Coulomb and proximity potential model(CPPM),we systematically investigate the cluster radioactivity half-lives of 26 trans-lead nuclei by considering the cluster preformation probability,which possesses a simple mass dependence on the emitted cluster according to R.Blendowske and H.Walliser[Phys.Rev.Lett.61,1930(1988)].Moreover,we investigate 28 different versions of the proximity potential formalisms,which are the most complete known proximity potential formalisms proposed to describe proton radioactivity,two-proton radioactivity,αdecay,heavy-ion radioactivity,quasi-elastic scattering,fusion reactions,and other applications.The calculated results show that the modified forms of proximity potential 1977,denoted as Prox.77-12,and proximity potential 1981,denoted as Prox.81,are the most appropriate proximity potential formalisms for the study of cluster radioactivity,as the root-mean-square deviation between experimental data and relevant theoretical results obtained is the least;both values are 0.681.For comparison,the universal decay law(UDL)proposed by Qi et al.[Phys.Rev.C 80,044326(2009)],unified formula of half-lives forαdecay and cluster radioactivity proposed by Ni et al.[Phys.Rev.C 78,044310(2008)],and scaling law(SL)in cluster radioactivity proposed by Horoi et al.[J.Phys.G 30,945(2004)]are also used.In addition,utilizing CPPM with Prox.77-12,Prox.77-1,Prox.77-2,and Prox.81,we predict the half-lives of 51 potential cluster radioactive candidates whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020.The predicted results are in the same order of magnitude as those obtained using the compared semi-empirical and/or empirical formulae.At the same time,the competition betweenαdecay and cluster radioactivity of these predicted nuclei is discussed.By comparing the half-lives,this study reveals thatαdecay predominates.
作者
刘潇
蒋杰栋
吴喜军
李小华
Xiao Liu;Jie-Dong Jiang;Xi-Jun Wu;Xiao-Hua Li(School of Nuclear Science and Technology,University of South China,Hengyang 421001,China;School of Math and Physics,University of South China,Hengyang 421001,China;National Exemplary Base for International Sci&Tech.Collaboration of Nuclear Energy and Nuclear Safety,University of South China,Hengyang 421001,China;Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment,University of South China,Hengyang 421001,China;Key Laboratory of Low Dimensional Quantum Structures and Quantum Control,Hunan Normal University,Changsha 410081,China)
基金
Supported in part by the National Natural Science Foundation of China(12175100,11975132)
the construct program of the key discipline in Hunan province,the Research Foundation of Education Bureau of Hunan Province,China(18A237,22A0305)
Hunan Provincial Department of Education Scientific Research Project(19A440)
the Shandong Province Natural Science Foundation,China(ZR2022JQ04)
the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment,University of South China(2019KFZ10)
the Innovation Group of Nuclear and Particle Physics in USC,Hunan Provincial Innovation Foundation for Postgraduate(CX20230962)
Science and technology plan project of Hengyang City(202150063428).