全同粒子维数与角动量耦合求和规则

Dimension of Identical Particles and Sum Rules for Angular Momentum Couplings

摘要: 结合工作，讨论了3个和4个全同粒子的状态数解析表达式与角动量耦合中的6j和9j系数的求和规则、单轨道中J级对力、核子系统的自旋和同位旋都确定的空间维数等核结构基本理论方面的新进展。 In this paper I would like to discuss the strategy in obtaining analytical formulas of number of spin I states of identical particles, and the relationship between dimension and sum rules for angular momentum couplings such as six-j and nine-j symbols. I shall also discuss the J-pairing interaction, number of states with spin I and isospin T, i. e. , number of states for nucleons in a single-j shell.

Abstract: In this paper I would like to discuss the strategy in obtaining analytical formulas of number of spin I states of identical particles, and the relationship between dimension and sum rules for angular momentum couplings such as six-j and nine-j symbols. I shall also discuss the J-pairing interaction, number of states with spin I and isospin T, i. e. , number of states for nucleons in a single-j shell.