1/N_c Corrections in Meson-Baryon Scattering
arXiv:hep-ph/0612267 · doi:10.1088/1126-6708/2007/10/046
Abstract
Corrections to meson/ground-state baryon scattering amplitudes in the 1/N_c expansion of QCD have previously been shown to be controlled by the t-channel difference |I_t - J_t| of isospin and angular momentum and by the change of hypercharge Y_t. Here we derive the corresponding expressions in the original scattering s channel, allowing for nonzero meson spin and nontrivial SU(3) flavor quantum numbers, and provide explicit examples of the crossing relevant for pi N --> rho N and K N scattering.
Addition of a physical example, minor changes to clarify certain issues and add one reference. 18 pages, no figures
References in corpus (20)
- The 1/N Expansion for Baryons
- Baryon-Pion Couplings from Large-N QCD
- The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
- The Nucleon-Nucleon Potential in the 1/N_c Expansion
- New Relations for Excited Baryons in Large N_c 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
- Phenomenology of Large N_c QCD
- Excited Baryon Decay Widths in Large N_c QCD
- Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
- SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
- Phenomenology of the Baryon Resonance 70-plet at Large N_c
- Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
- SU(3) Baryon Resonance Multiplets in Large N_c QCD
- Pion-Nucleon Scattering Relations at Next-to-Leading Order in 1/N_c
- Interplay of the Chiral and Large N_c Limits in pi N Scattering
- 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
- pi N --> Multi-pi N Scattering in the 1/N_c Expansion
- Pion Electroproduction Amplitude Relations in the 1/N_c Expansion