Quantum Groups in Hadron Phenomenology

dc.creatorGavrilik, A. M.
dc.date1997-12-17
dc.date.accessioned2026-07-07T04:03:07Z
dc.date.available2026-07-07T04:03:07Z
dc.descriptionWe 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 <---> θ_C (Cabibbo angle) in case of baryons are considered.
dc.description12 pages, LaTeX, 2 figures. Talk presented at the International Conference "Non-Euclidean Geometry in Modern Physics", August 13-16, 1997, Uzhgorod, Ukraine. To appear in the Proceedings
dc.identifierhttps://arxiv.org/abs/hep-ph/9712411
dc.identifierhttp://arxiv.org/abs/hep-ph/9712411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/47526
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Groups in Hadron Phenomenology
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