铀同位素链α衰变的研究  

Alpha Decay for Uranium Isotopes

作　　者：叶小云 王子淳 张双双 王宇婷 王永佳[1] 李庆峰[1,2] YE Xiaoyun;WANG Zichun;ZHANG Shuangshuang;WANG Yuting;WANG Yongjia;LI Qingfeng(School of Science,Huzhou University,Huzhou 313000,Zhejiang,China;Institute of Modern Physics,Chinese Academy of Science,Lanzhou 730000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000 [2]中国科学院近代物理研究所,兰州730000

出　　处：《原子核物理评论》2022年第2期154-159,共6页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(12147219);湖州师范学院大学生创新创业训练计划项目。

摘　　要：利用传输矩阵方法计算了铀同位素链α衰变的穿透几率,并且与常用于计算势垒穿透几率的Wenzel Kramers Brillouin(WKB)近似方法进行了比较,发现由WKB近似方法得到的穿透几率比精确值小40%左右,而且WKB方法带来的误差与α衰变的衰变能有很好的抛物线关系。基于结团模型,利用传输矩阵方法得到α粒子穿透势垒的精确几率,计算了铀同位素链α衰变的半衰期。还研究了势阱深度V_(0)、弥散宽度a和主量子数G对半衰期的影响。结果表明,考虑一组同位旋依赖的势阱深度和弥散宽度参数,结团模型能够较好地再现铀同位素链α衰变的半衰期。Both the transfer matrix approach and the Wentzel Kramers Brillouin(WKB) approximation are used to calculate the penetrability of α decay for uranium isotopes.It is found that the penetrability obtained with WKB approximation is about 40% smaller than the accurate result obtained with the transfer matrix approach,and a parabolic relationship between this underestimation and the decay energy can be observed.Based on the cluster model,the half-lives of α decay for uranium isotopes are calculated in which the transfer matrix approach is used to obtain the penetrability.In addition,the influences of potential depth V_(0),the diffuseness parameter a,and the global quantum number G on the calculated half-life are also investigated.Furthermore,with considering an isospin-dependent potential depth parameter,the α decay half-lives of uranium isotopes can be fairly well reproduced by the cluster model.

关 键 词：Α衰变 势垒穿透几率 半衰期 

分 类 号：O571.53[理学—粒子物理与原子核物理]