Higher Resonance Contributions to the Adler-Weisberger Sum Rule in the Large N_c Limit

Abstract

We determine the $N_c$--dependence of the resonance contributions to the Adler--Weisberger sum rule for the inverse square $1/g_A^2$ of the axial charge coupling constant and show that in the large $N_c$ limit the contributions of the Roper-like excitations scale as $O(1/N_c)$. Consistency with the $1/N_c^2$ scaling of the $1/g_A^2$ term in the sum rule requires these contributions to cancel against each other.

10 pages, LaTeX, TH Darmstadt preprint IKDA 93/47, REVISED

References in corpus (3)

• 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

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• Dynamical Interpretation of the Nucleon-Nucleon Interaction and Exchange Currents in the Large $N_C$ Limit
• Pole versus Breit-Wigner resonance description of the orbitally excited baryons
• Aspects of QCD Current Algebra on a Null Plane