Interaction Moment Contributions to Magnetic Moments of Nuclei

Abstract

A model of a heavy odd $A$ nucleus is used in which the outer nucleon is in the state predicted by the Mayer scheme, and the core is in a state of zero angular momentum. It is found that the general trend of the deviations of the experimentally determined magnetic moments from the Schmidt curves is describable in terms of a linear combination of the three phenomenological interaction moment operators which can arise from a charge exchange potential in a second order meson calculation. The final expression for the interaction moment, matched to the data, is, by and large, independent of any detailed properties of the radial functions associated with these operators, of the radial function of the outer nucleon, and, except for a dependence on the relative number of neutrons and protons in the core, of the core structure. The consequent predictions that, for given $l$ and $j$, the interaction moments of heavy odd neutron nuclei should be smaller in magnitude than those of heavy odd proton nuclei and that the addition of two protons to an odd proton nucleus or of two neutrons to an odd neutron nucleus should push the moments toward the Schmidt curves are in general accord with the data. Odd-odd nuclei are also considered.