Interaction Effects on Radiative Transitions in Nuclei

Electromagnetic transition processes in nuclei are considered on the assumption that the influence of an external electromagnetic field on a nucleus can be incorporated into a guage invariant Schroedinger equation for the nucleons (phenomenological theory). From the results of the preceding paper it is concluded that equations for electric multipole transition probabilities have the usual form but that the $f$-sum rule is modified in a manner depending on the nuclear interactions. Explicit expressions for the generalization of the $f$-sum rule to all electric multipole orders are given for exchange and velocity dependent interactions. The magnetic multipole moments,and therefore the corresponding transition probabilities, depend markedly on the form of the interaction with the electromagnetic field. General formulas are given for all magnetic multipole moments of nuclei in which exchange forces and velocity dependent interactions play a role. In addition it is possible to incorporate into the theory the spin-antisymmetric addition to the magnetic dipole moment implied by the static moments of ${\mathrm{H}}^3$ and ${\mathrm{He}}^3$.