Baryon Decuplet Masses From the Viewpoint of q-Equidistance
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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.
9 pages, Tex; An old paper posted for archival purposes (the parameter q, involved in baryon mass relation, was connected with the Cabibbo angle in subsequent papers, e.g., hep-ph/0103325)
9 pages, Tex; An old paper posted for archival purposes (the parameter q, involved in baryon mass relation, was connected with the Cabibbo angle in subsequent papers, e.g., hep-ph/0103325)