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1/N_c Corrections in Meson-Baryon Scattering

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arxiv hep-ph/0612267 v3 pith:44QLYSZC submitted 2006-12-20 hep-ph

1/N_c Corrections in Meson-Baryon Scattering

classification hep-ph
keywords scatteringcorrectionsmesonallowingamplitudesangularbaryonbeen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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