Baryons from Quarks in the $1/N$ Expansion

Abstract

We present a diagrammatic analysis of baryons in the $1/N$ expansion, where $N$ is the number of QCD colors. We use this method to show that there are an infinite number of degenerate baryon states in the large-$N$ limit. We also show that forward matrix elements of quark bilinear operators satisfy the static quark-model relations in this limit, and enumerate the corrections to these relations to all orders in $1/N$. These results hold for any number of light quark flavors, and the methods used can be extended to arbitrary operators. Our results imply that for two flavors, the quark-model relations for the axial currents and magnetic moments get corrections of order $1/N^2$. For three or more flavors, the results are more complicated, and corrections are generically of order $1/N$. We write an explicit effective lagrangian which can be used to carry out chiral perturbation theory calculations in the $1/N$ expansion. Finally, we compare our results to what is expected from a chiral constituent quark model.

arXiv comment27 pages, 5 uuencoded postscript figures, plain tex. References and acknowledgements added. LBL-34778

References in corpus (3)

• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• Baryon Hyperfine Mass Splittings in Large N QCD

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