Quantum algebras in phenomenological description of particle properties

Abstract

Quantum and q-deformed algebras find their application not only in mathematical physics and field theoretical context, but also in phenomenology of particle properties. We describe (i) the use of quantum algebras U_q(su_n) corresponding to Lie algebras of the groups SU(n), taken for flavor symmetries of hadrons, in deriving new high-accuracy hadron mass sum rules, and (ii) the use of (multimode) q-oscillator algebras along with q-Bose gas picture in modelling the properties of the intercept λof two-pion (two-kaon) correlations in heavy-ion collisions, as λshows sizable observed deviation from the expected Bose-Einstein type behavior. The deformation parameter q is in case (i) argued and in case (ii) conjectured to be connected with the Cabibbo angle θ_C.

Latex, espcrc2.sty, 8 pages, 1 figure; v4: eq.(19) corrected. Based on talk given at the D.V.Volkov Memorial Conference (25-29 July, 2000, Kharkov, Ukraine)

References in corpus (1)

• q-Boson approach to multiparticle correlations

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