Decoupling Spurious Baryon States in the 1/N_c Expansion of QCD

Abstract

We identify ``spurious'' states in meson-baryon scattering, those that appear in QCD for N_c > 3 but decouple for N_c = 3. The key observation is that the relevant flavor SU(3) Clebsch-Gordan coefficients contain factors of 1 - 3/N_c. We show that this method works even if SU(3) is badly broken. We also observe that resonant scattering poles lying outside naive quark model multiplets are not necessarily large N_c artifacts, and can survive via configuration mixing at N_c = 3.

arXiv comment6 pages, ReVTeX. Version accepted by Phys. Rev. D

References in corpus (14)

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• SU(3) Baryon Resonance Multiplets in Large N_c QCD
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Cited by in corpus (8)

• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Vector transition form factors of the $N{K}^{\ast }\to {\Theta }^{+}$ and $N{\bar{K}}^{\ast }\to {\Sigma }_{\overline{10}}^{\ast -}$ in the SU(3) chiral quark-soliton model
• 1/N_c Corrections in Meson-Baryon Scattering
• Towers of positive parity excited baryons and their mixing in the large $N_c$ limit
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• Towers of baryons of the $\mathcal{N}=2$ quark model band in the large $N_c$ limit