Relative importance of orbital and spin contributions in the study of magnetic properties in nuclei

We study the relative importance of the orbital and intrinsic spin contribution in both the diagonal magnetic single-particle matrix elements and in the matrix elements of the fermion magnetic multipole operator for many-body proton and/or neutron wave functions. The latter results shed light on the effective gyromagnetic factors for dipole ($L=1\mathrm{}$) and octupole ($L=3\mathrm{}$) operators, to be used in interacting boson model calculations.