Baryons from Quarks in the $1/N$ Expansion

Details Baryons from Quarks in the $1/N$ Expansion Baryons from Quarks in the $1/N$ Expansion

1993-10-28

arxiv.org/abs/hep-ph/9310369v3

Nucl.Phys. B426 (1994) 71-93

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0550-3213(94)90126-0

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.

Affiliated with

Also associated with

No associations

Rating

Baryons from Quarks in the $1/N$ Expansion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Baryons from Quarks in the $1/N$ Expansion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baryons from Quarks in the $1/N$ Expansion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636727