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

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arxiv hep-ph/0604175 v2 pith:R7RKVEP7 submitted 2006-04-20 hep-ph

classification hep-ph
keywords scatteringspuriousstatesappearartifactsbadlybaryonbroken
verification ladder T0 review T1 audit T2 compute T3 formal
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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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