Convection currents in nuclei in a relativistic mean-field theory

Journal Article · Fri Jul 01 04:00:00 EDT 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.38.370· OSTI ID:7144511

Furnstahl, R J

Isoscalar convection currents for nuclei with one valence particle or hole outside a closed-shell core are studied in the mean-field (Hartree) approximation to the Walecka model. The currents are constructed using nucleon wave functions computed in the self-consistent potentials of the spherical core. Approximate self-consistency for the full odd-A nucleus is imposed by using linear response theory to correct the core wave functions for the effects of the valence nucleon. At low q, this core response cancels the enhancement of the isoscalar current that arises from the reduced effective mass of the valence nucleon so that magnetic moments are close to the Schmidt predictions. In contrast, particle-hole mixing in the core response enhances the single-particle current further at higher q. Calculations of magnetic moments and elastic magnetic scattering in light nuclei are presented to illustrate these results. The relationship of these calculations to fully self-consistent mean-field solutions of odd-A nuclei and to the linear response function in nuclear matter is discussed.

• Research Organization: Physics Department and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 7144511
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 38:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653002 -- Nuclear Theory-- Nuclear Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CONVECTION
EFFECTIVE MASS
ELASTIC SCATTERING
ENERGY TRANSFER
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HEAT TRANSFER
MAGNETIC MOMENTS
MASS
MASS TRANSFER
MATHEMATICAL MODELS
MATTER
MEAN-FIELD THEORY
NUCLEAR CORES
NUCLEAR MATTER
NUCLEAR MODELS
PARTICLE MODELS
RELATIVITY THEORY
RESPONSE FUNCTIONS
SCATTERING
SHELL MODELS
SINGLE-PARTICLE MODEL
VALENCE
WALECKA MODEL
WAVE FUNCTIONS