Symmetry conserving approach to the quantization of the non-topological SU(3) soliton

Abstract

We reconsider canonical quantization of the rotating soliton in the SU(3) Chiral Quark-Soliton Model. We show that at the level of 1/N_c, in contrast to the SU(2) version of the model, there appear terms which spoil the commutation rules of the flavor generators. Terms of similar origin are also present in the expressions for axial couplings and magnetic moments. We investigate the small soliton limit of the model, and require that the results for the physical observables reduce to the ones of the non-relativistic quark model. This procedure allows to identify the troublesome terms. Next, we introduce a symmetry conserving approach by subtracting these terms and discuss numerical predictions obtained that way.

arXiv comment20 pages, 8 Postscript (eps) figures

References in corpus (8)

• Baryons as non-topological chiral solitons
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• $1/N_c$ Rotational Corrections to $g_A$ and Isovector Magnetic Moment of the Nucleon
• Axial Properties of the Nucleon with $1/N_c$-Corrections in the solitonic SU(3)-NJL-Model
• Rotational Corrections to Axial Currents in Semibosonized SU(3) Nambu--Jona-Lasinio Model
• The Constituent Quark Limit and the Skyrmion Limit of the Chiral Quark Soliton Model
• Magnetic Moments of the SU(3) Octet Baryons in the semibosonized SU(3) Nambu-Jona-Lasinio Model
• Nucleon described by the chiral soliton in the chiral quark soliton model

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