Hybrid baryons in large-Nc QCD

Chi Keung Chow, Dan Pirjol, Tung Mow Yan

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We study the properties and couplings of hybrid baryons in the large-Nc expansion. These are color-neutral baryon states which contain in addition to Nc quarks also one constituent gluon. Hybrid baryons with both symmetric and mixed symmetric orbital wave functions are considered. We introduce a Hartree description for these states, similar to the one used by Witten for ordinary baryons. It is shown that the Hartree equations for Nc, (Nc-1) quarks for symmetric (mixed symmetric) states in hybrid baryons coincide with those in ordinary baryons in the large-Nc limit. The energy due to the gluon field is of order N0cΛQCD and can be interpreted as the mass of a constituent gluon. Under the assumption of color confinement, our results prove the existence of hybrid baryons made up of heavy quarks in the large Nc limit and provide a justification for the constituent gluon picture of these states. The couplings of the hybrid baryons to mesons of arbitrary spin are computed in the quark model. Using constraints from the large Nc scaling laws for the meson-baryon scattering amplitudes, we write down consistency conditions for the meson couplings of the hybrid baryons. These consistency conditions are solved explicitly with results in agreement with those in the quark model for the respective couplings.

Original languageEnglish
Article number056002
Pages (from-to)1-12
Number of pages12
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number5
DOIs
StatePublished - 1 Mar 1999

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