用Ｒ（５）群Ｃａｓｉｍｉｒ算子Ｃ对核子ＪＴ耦合态的进一步分类作了计算，并将ＪＴＣ分类的重复度对Ｊ．Ｔ的依赖关系因子化，对ｊ≤Ｔ／２列出了具体结果．由Ｒ（５）的不可约表示引入辛弱数υ和约化同位旋τ，利用υ和τ的选择定则可简化任意张量算子的矩阵元计算． The further classification of the JT coupling states of nucleons is calculated by the Casimir operator C of the R (5) group, and the JTC classification repeatability is compared with J. T dependency factorization, for j ≤ T / 2 lists the specific results. By introducing the irreducible representation of R (5) into the weak symplectic number υ and the reduced isospin τ, the matrix element calculation of arbitrary tensor operator can be simplified by the selection rule of υ and τ.