The q-deformed quark model: quantum isospin and q-hadrons

1996/12/09 by M. Klein-Kreisler, Klein-Kreisler, M., M. Ruiz-Altaba +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.hep-ph/9612303

openalex publication_date 1996/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the possibility that the SU(2) isospin symmetry, exact in strong interactions but only approximate in nature, is in fact a quantum group. Using a doublet of q-quarks, we build the wavefuntions of pi-mesons, nucleons and Delta baryons. We redo the usual quark model computation for the magnetic moments and mass relations, and everything fits with experimental data. We find, nevertheless, that it is impossible to parametrize successfully the large mass difference between the charged and neutral pions with the single q of the quantum group U_q(sl(2)).

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