Use tensor methods to evaluate the reduced matrix element of the spin-orbit interaction $leftlangle J|boldsymbol{l} cdot boldsymbol{s}|

Question:

Use tensor methods to evaluate the reduced matrix element of the spin-orbit interaction $\left\langle J|\boldsymbol{l} \cdot \boldsymbol{s}| J^{\prime}\rightangle$ between states of good angular momentum $\boldsymbol{J}=\boldsymbol{l}+\boldsymbol{s}$

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