Number of states with given spin I and isospin T for n fermions in a j orbit  

作　　者：X.Yin Y.M.Zhao 尹鑫;赵玉民(Shanghai Key Laboratory of Particle Physics and Cosmology,School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China;Collaborative Innovation Center of IFSA(CICIFSA),Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]Shanghai Key Laboratory of Particle Physics and Cosmology,School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China [2]Collaborative Innovation Center of IFSA(CICIFSA),Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Chinese Physics C》2022年第11期195-202,共8页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11975151,11961141003);the MOE Key Lab for Particle Physics,Astrophysics and Cosmology for financial support。

摘　　要：In this study,we investigate formulas of the number of states with a given total spin I and isospin T for n nucleons in a single-j shell denoted by DIT(j,n).Talmi's recursion formulas for the number of states with a given z-axis projection of total spin are generalized by further considering the isospin couplings and are applied to derive explicit formulas of DIT(j,n).

关 键 词：nuclear structure shell model nuclear spin and isospin 

分 类 号：O572.2[理学—粒子物理与原子核物理]