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

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

2006-04-20

arxiv.org/abs/hep-ph/0604175v2

Phys.Rev. D74 (2006) 036001

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, ReVTeX. Version accepted by Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.036001

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.

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