Baryon Decuplet Masses From the Viewpoint of q-Equidistance

Details Baryon Decuplet Masses From the Viewpoint of q-Equidistance Baryon Decuplet Masses From the Viewpoint of q-Equidistance

2004-04-28

arxiv.org/abs/hep-ph/0404259v1

Ukr.J.Phys. 40 (1995) 645-649

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, Tex; An old paper posted for archival purposes (the parameter q, involved in baryon mass relation, was connected with

Scientific paper

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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