Analytical Derivations of Single-Particle Matrix Elements in Nuclear Shell Model  

作　　者：Aziz H.Fatah R.A.Radhi Nzar R.Abdullah 

机构地区：[1]Physics Department, Faculty of Science and Science Education, School of Science, University of Sulaimani [2]Physics Department, College of Science, University of Baghdad [3]Science Institute, University of Iceland

出　　处：《Communications in Theoretical Physics》2016年第7期104-114,共11页理论物理通讯（英文版）

摘　　要：We present analytical method to calculate single particle matrix elements used in atomic and nuclear physics. We show seven different formulas of matrix elements of the operator f(r)d_r^m where f(r) = r~μ, r~μjJ(qr), V(r)corresponding to the Gaussian and the Yukawa potentials used in nuclear shell models and nuclear structure. In addition,we take into account a general integral formula of the matrix element 〈 n′ l′|f(r) d_r^(m) |n l〉 that covers all seven matrix elements obtained analytically.

关 键 词：nuclear structure shell model nuclear matrix elements and nuclear structure 

分 类 号：O571[理学—粒子物理与原子核物理]