An improved α-decay energy formula for heavy and superheavy nuclei  

作　　者：骆松 潘霄 董建军 吴喜军 何彪 李小华 Song Luo;Xiao Pan;Jian-Jun Dong;Xi-Jun Wu;Biao He;Xiao-Hua Li(School of Nuclear Science and Technology,University of South China,Hengyang 421001,China;School of Primary Education,HengYang Preschool Education College,Hengyang 421001,China;School of Math and Physics,University of South China,Hengyang 421001,China;School of Physics and Electronics,Central South University,Changsha 410083,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)

机构地区：[1]School of Nuclear Science and Technology,University of South China,Hengyang 421001,China [2]School of Primary Education,HengYang Preschool Education College,Hengyang 421001,China [3]School of Math and Physics,University of South China,Hengyang 421001,China [4]School of Physics and Electronics,Central South University,Changsha 410083,China [5]Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment,University of South China,Hengyang 421001,China [6]Key Laboratory of Low Dimensional Quantum Structures and Quantum Control,Hunan Normal University,Changsha 410081,China

出　　处：《Communications in Theoretical Physics》2023年第2期116-124,共9页理论物理通讯（英文版）

基　　金：National Natural Science Foundation of China(Grant No.12175100);the construct program of the key discipline in Hunan province,the Research Foundation of Education Bureau of Hunan Province,China(Grant No.18A237);the Innovation Group of Nuclear and Particle Physics in USC,the Shandong Province Natural Science Foundation,China(Grant No.ZR2022JQ04);the Hunan Provincial Innovation Foundation For Postgraduate(Grant No.CX20210942 and No.CX20220993)

摘　　要：Based on the liquid-drop model and using the first derivative of the normalized Gaussian function to consider the shell correction,a simpleα-decay energy formula is proposed for heavy and superheavy nuclei.The values of corresponding adjustable parameters are obtained by fittingα-decay energies of 209 nuclei ranging from Z=90 to Z=118 with N≥140.The calculated results are in good agreement with the experimental data.The average and standard deviations between the experimental data and theoretical results are 0.141 and 0.190 Me V,respectively.For comparison,the reliable formulae proposed by Dong T K et al(2010,Phys.Rev.C 82,034320),Dong J M et al(2010,Phys.Rev.C 81,064309)and the WS3+nuclear mass model proposed by Wang N et al(2011,Phys.Rev.C 84,051303)are also used.The results indicate that our improved 7-parameter formula is superior to these empirical formulae and is largely consistent with the WS3+nuclear mass model.In addition,we extend this formula to predict theα-decay energies for nuclei with Z=117,118,119 and 120.The predicted results of these formulae are basically consistent.

关 键 词：α-decay energy heavy and superheavy nuclei shell correction 

分 类 号：O571.321[理学—粒子物理与原子核物理]