Electromagnetic multipole moments and transitions

The \( M1 \) transition operator with \( \lambda=1 \) and with $$ Y^{0}=1/\sqrt{4\pi }, $$ we have $$ O(M1)=\sqrt{\frac{3}{4\pi }}[\mathbf{l}g^{l }_{q}+\mathbf{s} \; g^{s}_{q}]\mu _{N}. $$