Corrections to the free-nucleon values of the single-particle matrix elements of the M1 and Gamow-Teller operators, from a comparison of shell-model predictions with sd-shell data

Journal Article · Thu Dec 01 04:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.2397· OSTI ID:5375282

Brown, B A; Wildenthal, B H

The magnetic dipole moments of states in mirror pairs of the sd-shell nuclei and the strengths of the Gamow-Teller beta decays which connect them are compared with predictions based on mixed-configuration shell-model wave functions. From this analysis we extract the average effective values of the single-particle matrix elements of the l, s, and (Y/sup(/sup 2/)xs)/sup(/sup 1/) components of the M1 and Gamow-Teller operators acting on nucleons in the 0d/sub 5/2/, 1s/sub 1/2/, and 0d/sub 3/2/ orbits. These results are compared with the recent calculations by Towner and Khanna of the corrections to the free-nucleon values of these matrix elements which arise from the effects of isobar currents, mesonic-exchange currents, and mixing with configurations outside the sd shell.

• Research Organization: Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824
• OSTI ID: 5375282
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETA DECAY
BOSON-EXCHANGE MODELS
DECAY
DIPOLE MOMENTS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
GAMOW-TELLER RULES
HAMILTONIANS
M1-TRANSITIONS
MAGNETIC DIPOLE MOMENTS
MAGNETIC MOMENTS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MIRROR NUCLEI
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM OPERATORS
SHELL MODELS
SINGLE-PARTICLE MODEL
WAVE FUNCTIONS