QCD Baryons in the 1/N_c Expansion
Abstract
The 1/N_c expansion provides a theoretical method for analyzing the spin-flavor symmetry properties of baryons in QCD that is quantitative, systematic and predictive. An exact spin-flavor symmetry exists for large-N_c baryons, whereas for QCD baryons, the spin-flavor symmetry is approximate and is broken by corrections proportional to the symmetry-breaking parameter 1/N_c = 1/3. The 1/N_c expansion predicts a hierarchy of spin and flavor symmetry relations for QCD baryons that is observed in nature. It provides a quantitative understanding of why some SU(3) flavor symmetry relations in the baryon sector, such as the Gell-Mann--Okubo mass formula, are satisfied to a greater precision than expected from flavor symmetry-breaking suppression factors alone.
Cite
@article{arxiv.hep-ph/0111338,
title = {QCD Baryons in the 1/N_c Expansion},
author = {E. Jenkins},
journal= {arXiv preprint arXiv:hep-ph/0111338},
year = {2009}
}
Comments
25 pages, Invited lectures VIII Mexican Workshop on Particles and Fields, Nov. 14-20, 2001, Zacatecas, Mexico, to be published AIP Proceedings