QCD Baryons in the 1/N_c Expansion

Details QCD Baryons in the 1/N_c Expansion QCD Baryons in the 1/N_c Expansion

2001-11-27

arxiv.org/abs/hep-ph/0111338v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, Invited lectures VIII Mexican Workshop on Particles and Fields, Nov. 14-20, 2001, Zacatecas, Mexico, to be published

Scientific paper

10.1063/1.1489736

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.

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