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 \lambda of two-pion (two-kaon) correlations in heavy-ion collisions, as \lambda shows 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 \theta_C.
Keywords
Cite
@article{arxiv.hep-ph/0103325,
title = {Quantum algebras in phenomenological description of particle properties},
author = {A. M. Gavrilik},
journal= {arXiv preprint arXiv:hep-ph/0103325},
year = {2011}
}
Comments
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)