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Constituent quarks as skyrmions in color space

Conference · · AIP Conference Proceedings (American Institute of Physics); (United States)
OSTI ID:5544005
 [1]
  1. Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, 69978 Tel-Aviv (Israel)

We exhibit static solutions of QCD in two dimensions that have the quantum numbers of baryons and mesons, constructed out of quark and anti-quark solitons of the bosonized Lagrangian. In isolation the latter solitons have infinite energy, corresponding to the presence of a string carrying the non-singlet color flux off to spatial infinity. When [ital N][sub [ital c]] solitons of this type are combined, a static, finite-energy, color singlet solution is formed, corresponding to a baryon. Similarly, static meson solutions are formed out of a soliton and an anti-soliton of different flavors. The stability of the mesons against annihilation is ensured by flavor conservation. Our results can be viewed as a derivation of the constituent quark model in QCD[sub 2], allowing a detailed study of constituent mass generation and of the heavy quark symmetry.

OSTI ID:
5544005
Report Number(s):
CONF-920837--
Journal Information:
AIP Conference Proceedings (American Institute of Physics); (United States), Journal Name: AIP Conference Proceedings (American Institute of Physics); (United States) Vol. 272:1; ISSN 0094-243X; ISSN APCPCS
Country of Publication:
United States
Language:
English