Dudley's dilemma: Magnetic moments in relativistic theories

Abstract

In 1975 L. Dudley Miller showed how the basic phenomenology of the major shell and spin‐orbit splittings constrained the relativistic scalar/vector structure model to values of the potentials incompatible with the observed magnetic moments of nuclei one nucleon away from closed shell [1]. In this talk the resolution of this problem is presented from three different perspectives. First a self‐consistent Landau‐Migdal approach is used to define the single particle isoscalar current in infinite nuclear matter. The constraint of self‐consistency provides a vector suppression factor to the single particle current which returns the current to its nonrelativistic form and resolves the problem. The same suppression factor is shown to follow as well from either a consideration of gauge invariance or (equivalently) the relativistic random phase approximation. Local density approximation calculations of isoscalar magnetic moments of nuclei one nucleon away from closed shell recover the Schmidt values, thus resolving...