Energy-Weighted Sum Rule for Magnetic Multipole Transitions

Abstract

An energy-weighted sum rule for magnetic multipole transitions $M\lambda$ is proposed as a generalization of the Kurath sum rule. The role of the spin-orbit potential is discussed, and corrections due to nuclear interaction are calculated explicitly using Skyrme forces. It is shown that, while for $\lambda =1\mathrm{}$ the whole contribution comes from spin-orbit potential, for $\lambda >1\mathrm{}$ the main part is due to the kinetic energy.