Pion-Nucleon Scattering Relations at Next-to-Leading Order in 1/N_c

Abstract

We obtain relations between partial-wave amplitudes for pi-N-->pi-N and pi-N-->pi-Delta directly from large N_c QCD. While linear relations among certain amplitudes holding at leading order (LO) in 1/N_c were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large N_c expansion. At LO we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at leading order (LO) and thus have little additional predictive power. However, three NLO relations for the pi-N-->pi-Delta reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment. These relations describe experiment dramatically better than their LO counterparts.

8 pages, 2 figures; references added

References in corpus (3)

• New Relations for Excited Baryons in Large N_c QCD
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c

Cited by in corpus (16)

• On the Existence of Heavy Pentaquarks: The large Nc and Heavy Quark Limits and Beyond
• Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Baryon resonances in large $N_c$ QCD
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Partial Decay Widths of Negative Parity Baryons in the 1/Nc Expansion
• The Large N_c Baryon-Meson I_t = J_t Rule Holds for Three Flavors
• Decoupling Spurious Baryon States in the 1/N_c Expansion of QCD
• Hadrons and Chiral Symmetry
• Excited Baryons in Large $N_c$ QCD
• 1/N_c Corrections in Meson-Baryon Scattering
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• An Identity on SU(2) Invariants
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• The 1/N_c Approach for Baryon Resonances