Light baryon masses in different large-Nc limits
Abstract
We investigate the behavior of light baryon masses in three inequivalent large-Nc limits: ’t Hooft, QCDAS 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 Nc, Nc2, and 1 in the ’t Hooft, QCDAS and Corrigan-Ramond limits, respectively. Those results confirm previous ones obtained by using either diagrammatic methods or constituent approaches, mostly valid for heavy quarks.
- Publication:
-
Physical Review D
- Pub Date:
- September 2010
- DOI:
- 10.1103/PhysRevD.82.056008
- arXiv:
- arXiv:1006.4729
- Bibcode:
- 2010PhRvD..82e6008B
- Keywords:
-
- 11.15.Pg;
- 12.39.Ki;
- 12.39.Pn;
- 14.20.-c;
- Expansions for large numbers of components;
- Relativistic quark model;
- Potential models;
- Baryons;
- High Energy Physics - Phenomenology
- E-Print:
- Final version to appear in Phys. Rev. D