Baryon Decuplet Masses From the Viewpoint of q-Equidistance
Abstract
Masses of baryons 3/2+ are calculated on the base of representations of dynamical "pseudounitary" q-deformed algebra u(4,1)q which provides necessary breaking of the 4-flavor symmetry realized by the assumed q-algebra su(4)q. It is demonstrated that, contrary to the case of su(3)q octet baryons 1/2+, one and the same q-analog of mass relation for baryons 3/2+ from decuplet embedded into 20-plet of su(4)q follows from evaluations within all the different admissible "dynamical" representations.
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