Quantum Groups in Hadron Phenomenology

Details Quantum Groups in Hadron Phenomenology Quantum Groups in Hadron Phenomenology

1997-12-17

arxiv.org/abs/hep-ph/9712411v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX, 2 figures. Talk presented at the International Conference "Non-Euclidean Geometry in Modern Physics", August

Scientific paper

We show that application of quantum unitary groups, in place of ordinary flavor SU(n_f), to such static aspects of hadron phenomenology as hadron masses and mass formulas is indeed fruitful. The so-called q-deformed mass formulas are given for octet baryons (1/2)^+ and decuplet baryons (3/2)^+, as well as for the case of vector mesons 1^- involving heavy flavors. For deformation parameter q, rigid fixation of values is used. New mass sum rules of remarkable accuracy are presented. As shown in decuplet case, the approach accounts for effects highly nonlinear in SU(3)-breaking. Topological implication (possible connection with knots) for singlet vector mesons and the relation q <---> \theta_C (Cabibbo angle) in case of baryons are considered.

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