Baryons from quarks in the 1/N expansion
Oct, 199329 pages
Published in:
- Nucl.Phys.B 426 (1994) 71-93
e-Print:
- hep-ph/9310369 [hep-ph]
Report number:
- LBL-34778
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Abstract:
We present a diagrammatic analysis of baryons in the expansion, where 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- limit. We also show that some (but not all) forward matrix elements of local operators satisfy the static quark-model relations in this limit. We enumerate the corrections to these relations to all orders in for baryon masses and for matrix elements of quark bilinear operators. (The method can be extended to arbitrary operators.) Our results imply that the quark-model relations for the axial currents and magnetic moments get corrections of order , while the quark-model relations for baryon mass differences due to current quark masses are not satisfied in the large- limit. We also discuss how these results fit into the framework of baryon chiral perturbation theory, and compare our results to what is expected from a chiral constituent quark model.- quantum chromodynamics
- operator: local
- quark: nonrelativistic
- baryon: mass
- mass: baryon
- current: axial
- magnetic moment
- perturbation theory: chiral
- expansion 1/N
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