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Quantum algebras in phenomenological description of particle properties

A. M. Gavrilik
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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.

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A. M. Gavrilik. 2002-10-16. Quantum algebras in phenomenological description of particle properties. https://doi.org/10.1016/s0920-5632(01)01570-5

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