Pion Electroproduction Amplitude Relations in the 1/N_c Expansion

Abstract

We derive expressions for pion electroproduction amplitudes in the 1/N_c expansion of QCD, and obtain from them linear relations between the electromagnetic multipole amplitudes that hold at all energies. The leading-order relations in 1/N_c compare favorably with available data (especially away from resonances), but the next-to-leading-order relations tend to provide only small or no improvement.

arXiv comment45 pages, pdflatex, contains multiple figures but .pdf file is < 4 MB. This version to appear in Phys. Rev. D, but has much better figure resolution. References greatly expanded, some additional discussion

References in corpus (56)

• Unitary Isobar Model - MAID2007
• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• 1/N Corrections to the Baryon Axial Currents in QCD
• Baryons from Quarks in the $1/N$ Expansion
• On Spin Independence in Large $N_c$ Baryons
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Heavy Baryon Masses in the $1/m_Q$ and $1/N_c$ Expansions
• Masses of the 70- Baryons in Large Nc QCD
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Baryon Mass Splittings in the 1/N_c Expansion
• SU(3) symmetry breaking in hyperon semileptonic decays
• Flavor Symmetry Breaking in the 1/N Expansion
• Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Operator Analysis of L=1 Baryon Masses in Large N_c QCD
• Masses of Orbitally Excited Baryons in Large N_c QCD
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• Decays of $\ell =1$ Baryons --- Quark Model versus Large-$N_c$
• Baryon Magnetic Moments in the 1/N Expansion
• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
• Excited Baryons Phenomenology from Large-$N_c$ QCD
• 1/Nc corrections to the SU(4)_c symmetry for L=1 baryons: The Three Towers
• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• Predictions for Decays of Radially Excited Baryons
• New Relations for Excited Baryons in Large N_c QCD
• Delta --> N gamma in Large-Nc QCD
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Partners of the Theta^+ in Large N_c QCD
• Photoproduction of of l=1 Baryons: Quark Model versus Large N_c
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Excited Baryon Decay Widths in Large N_c QCD
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
• Pion-Nucleon Scattering Relations at Next-to-Leading Order in 1/N_c
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Negative parity pentaquarks in large Nc QCD and quark model
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Decays of Non-Strange Positive Parity Excited Baryons in the 1/Nc Expansion
• 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
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Decoupling Spurious Baryon States in the 1/N_c Expansion of QCD
• 1/N_c Corrections in Meson-Baryon Scattering
• An Identity on SU(2) Invariants
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion

Cited by in corpus (2)

• Baryon resonances in large $N_c$ QCD
• 1/N_c Corrections in Meson-Baryon Scattering