Light baryon masses in different large-$N_c$ limits

Abstract

We investigate the behavior of light baryon masses in three inequivalent large-$N_c$ limits: 't~Hooft, QCD${}_{\mathrm{AS}}$ and Corrigan-Ramond. Our framework is a constituent quark model with relativistic-type kinetic energy, stringlike confinement and one-gluon-exchange term, thus leading to well-defined results even for massless quarks. We analytically prove that the light baryon masses scale as $N_c$, $N_c^2$ and $1$ in the 't~Hooft, QCD${}_{\mathrm{AS}}$ and Corrigan-Ramond limits respectively. Those results confirm previous ones obtained by using either diagrammatic methods or constituent approaches, mostly valid for heavy quarks.

Final version to appear in Phys. Rev. D

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• Improvement of the Envelope Theory for Systems with Different Particles
• Two- and three-body calculations within the dominantly orbital state method
• Further developments for the auxiliary field method
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• A quark core-gluon model for heavy hybrid baryons
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
• Accuracy Tests of the Envelope Theory