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arxiv: hep-ph/0404259 · v1 · submitted 2004-04-28 · ✦ hep-ph

Baryon Decuplet Masses From the Viewpoint of q-Equidistance

classification ✦ hep-ph
keywords baryonsdecupletdynamicalmassesrepresentationsadmissiblealgebraassumed
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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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