Low-energy sum rules and large-$N_c$ consistency conditions

Abstract

The large-$N_c$ consistency conditions for axial vector and isovector magnetic couplings of pions to baryons are discussed from the point of view of low-energy current-algebra sum rules (Adler-Weisberger, Cabibbo-Radicati). In particular, we show how the result that ratios of axial vector and isovector magnetic coupling constants get corrections only at the order $1/N_c^2$ follows from the $N_c$-counting of appropriate cross sections. This counting is performed using various approaches at the quark and hadronic level. Other implications of our method are also presented.

25 p. (REVTEX, Feynman.tex for figures)

References in corpus (5)

• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• Light Quark Spin-Flavor Symmetry for Baryons Containing a Heavy Quark in Large N QCD
• The role of the Delta isobar in chiral perturbation theory and hedgehog soliton models
• Hyperfine Mass Splittings of Baryons Containing a Heavy Quark in Large N QCD

Cited by in corpus (13)

• Baryon Mass Splittings in the 1/N_c Expansion
• Large N_c Limit of Spin-Flavor Breaking in Excited Baryon Levels
• Large-N_c Baryons
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• Baryon Isovector Electric Properties and the Large N_c and Chiral Limits
• The Role of the Roper in QCD
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Chiral Multiplets of Large-N Ground State Baryons
• rho -> pi pi decay in nuclear medium
• Drell-Hearn-Gerasimov Sum Rule for the Nucleon in the Large-N_c Limit
• Aspects of QCD Current Algebra on a Null Plane
• Spin-dependent Polarizability of Nucleon with Dispersion Relation in the Skyrme Model