Dudley's dilemma: Magnetic moments in relativistic theories

Conference · Wed Oct 15 04:00:00 EDT 1986 · AIP Conf. Proc.; (United States)

OSTI ID:5958524

McNeil, J A

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 this longstanding problem.

• Research Organization: Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 and Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
• OSTI ID: 5958524
• Report Number(s): CONF-860575-
• Conference Information: Journal Name: AIP Conf. Proc.; (United States) Journal Volume: 150:1
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIAGRAMS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FEYNMAN DIAGRAM
FIELD THEORIES
GENERAL RELATIVITY THEORY
MAGNETIC MOMENTS
MATTER
NUCLEAR MAGNETIC MOMENTS
NUCLEAR MATTER
NUCLEAR PROPERTIES
OSCILLATION MODES
PARTIAL DIFFERENTIAL EQUATIONS
RANDOM PHASE APPROXIMATION
RELATIVITY THEORY
SCHMIDT LINES
SINGLE-PARTICLE MODES
WAVE EQUATIONS