j壳层核子准旋、同位旋、角动量分类因子化重复度计算
CALCULATIONS OF FACTORIZED MULTIPLICITIES CLASSIFIED BY QUASISPIN,ISOSPIN AND ANGULAR MOMENTUM FOR j-SHELL NUCLEONS
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摘要: 据群链SO(5)⊃U(1)DⓧSU(2)TⓧSp(2j+1)⊃O(3),对j壳层核子按广义准旋s,t、同位旋T、角动量J和核子数n=2D+2j+1分类,分类重复度可因子化为SO(5)⊃U(1)DⓧSU(2)T与Sp(2j+1)⊃O(3)约化重复度之积。给出上述两个约化重复度的简明计算公式,并列出部分结果。Abstract: According to the group chainSO(5)⊃U(1)DⓧSU(2)TⓧSp(2j+1)⊃O(3),the coupling states of j-shell nucleons are classified by D=(n-2 j-1)/2,isospin T,angular momentum J and generalized quasispins,t,where s is generalized siniority and t is reduced isospin;the multiplicities classified are products of SO(5)⊃U(1)DⓧSU(2)T and Sp(2j+1)⊃O(3) group reduction multiplicities.The explicit formulas for the two group reduction multiplicities are presented,and some results calculated are listed.
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