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arXiv · 1006.4729

Light baryon masses in different large-$N_c$ limits

Fabien Buisseret·Claude Semay
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Abstract

We investigate the behavior of light baryon masses in three inequivalent large-$N_c$ limits: 't~Hooft, QCD$_{\rm AS}$ 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$_{\rm AS}$ and Corrigan-Ramond limits respectively. Those results confirm previous ones obtained by using either diagrammatic methods or constituent approaches, mostly valid for heavy quarks.

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Fabien Buisseret, Claude Semay. 2010-08-20. Light baryon masses in different large-$N_c$ limits. https://doi.org/10.1103/physrevd.82.056008

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