Determination of SU(6) Clebsch-Gordan coefficients and baryon mass and electromagnetic moment relations
- Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)
We develop a new method to compute and tabulate the Clebsch-Gordan coefficients of the SU(6){contains}SU(3){times}SU(2) product 5{bar 6}{direct_product}56, which are relevant to the nonrelativistic spin-flavor symmetry of the lightest baryons. Under the assumption that the largest representation in this product, the 2695, gives rise to operators in a chiral expansion that produce numerically small effects, we obtain a set of relations among the masses of the baryons, as well as among their magnetic dipole and higher multipole moments. We compare the mass relations to experiment, and find numerical predictions for the {Sigma}{sup 0-}{Lambda} mass mixing parameter and 18 of the 27 magnetic moments in the 56.
- Research Organization:
- University of California
- DOE Contract Number:
- FG03-90ER40546
- OSTI ID:
- 44769
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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