Light baryon masses in different large-$N_c$ limits

Details Light baryon masses in different large-$N_c$ limits Light baryon masses in different large-$N_c$ limits

2010-06-24

arxiv.org/abs/1006.4729v2

Phys. Rev. D 82, 056008 (2010)

Physics

High Energy Physics

High Energy Physics - Phenomenology

Final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.82.056008

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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