Evaluate the matrix element $leftlangle j_{1} j_{2} Jleft|T_{k q}(1) ight| j_{1}^{prime} j_{2}^{prime} J^{prime} ightangle$, where the tensor operator $T_{k q}(1)$ operates only on the part

Evaluate the matrix element $\left\langle j_{1} j_{2} J\left|T_{k q}(1)\right| j_{1}^{\prime} j_{2}^{\prime} J^{\prime}\rightangle$, where the tensor operator $T_{k q}(1)$ operates only on the part of the system associated with the angular momenta labeled by the subscript 1 , to obtain Eq. (30.12).

Data from Eq. 30.12