Pion Photoproduction Amplitude Relations in the 1/N_c Expansion

Abstract

We derive expressions for pion photoproduction amplitudes in the 1/N_c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/N_c compare favorably with available data, while the next-to-leading order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/N_c) or O(1/N_c^2) is impressive.

arXiv comment19 pages, ReVTeX, 50 eps files combine into 5 compound figures

References in corpus (14)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Quadrupole Moments of N and Delta in the 1/N_c Expansion
• New Relations for Excited Baryons in Large N_c QCD
• Delta --> N gamma in Large-Nc QCD
• Partners of the Theta^+ in Large N_c QCD
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Large N_c, Constituent Quarks, and N, Delta Charge Radii
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Pion-Nucleon Scattering Relations at Next-to-Leading Order in 1/N_c

Cited by in corpus (16)

• On the Existence of Heavy Pentaquarks: The large Nc and Heavy Quark Limits and Beyond
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Baryon resonances in large $N_c$ QCD
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• 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
• Electromagnetic multipole moments of baryons
• Hadrons and Chiral Symmetry
• 1/N_c Corrections in Meson-Baryon Scattering
• Bounds on the Light Quark Masses: the scalar channel revisited
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• The 1/N_c Approach for Baryon Resonances