Light baryon masses in different large-NcN_c limits

Jun, 2010
15 pages
Published in:
  • Phys.Rev.D 82 (2010) 056008
e-Print:

Citations per year

20112014201720202023210
Abstract: (arXiv)
We investigate the behavior of light baryon masses in three inequivalent large-NcN_c limits: 't~Hooft, QCDAS_{{\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 NcN_c, Nc2N_c^2 and 11 in the 't~Hooft, QCDAS_{{\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.
Note:
  • Final version to appear in Phys. Rev. D
  • 11.15.Pg
  • 14.20.-c
  • 12.39.Pn
  • 12.39.Ki
  • baryon: mass
  • quark model: constituent
  • energy: kinetic
  • quark: massless
  • quantum chromodynamics
  • expansion 1/N: color