Baryon magnetic moments in quark models with anomalous quark moments
- Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60607-7059
The magnetic moments of the baryon octet are investigated within a class of nonrelatvistic quark models. The class of models considered have baryon wave functions which are dominated by the usual pure {ital S}-wave, 56-dimensional represenation of {ital SU}(6), but small anomalous quark moments and admixtures of nonzero orbital angular momentum are allowed. The effect of two-body exchange moments is alos considered. It is found that models within this class can account for the observed moments only if the quarks have anomalous magnetic moments which are not proportional to the ir charges. In particular, the magnitude of the ratio of the up quark magnetic moment to the down quark magnetic moment, {vert_bar}{mu}{sub {ital u}}/{mu}{sub {ital d}}{vert_bar},is less than 2. The allowed range of values for {mu}{sub {ital u}}/{mu}{sub {ital d}} is shown to be consistent with an estimate calculated using the chiral quark model. If exchange moments are neglected, then the baryon wave functions must all contain some admixtures of nonzero relative orbital angular momentum and they must break {ital SU}(3) flavor symmetry. The strange quark magnetic moment is more negative than the {Lambda}{sup 0} moment. Finally, it is argued that the inclusion of small exchange moments of a particular type can significantly reduce the amount of configuration mixing needed. {copyright} 1995 Academic Press, Inc.
- DOE Contract Number:
- AC02-82ER40073
- OSTI ID:
- 69038
- Journal Information:
- Annals of Physics (New York), Vol. 240, Issue 2; Other Information: PBD: Jun 1995
- Country of Publication:
- United States
- Language:
- English
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