Negative parity nonstrange baryons in large $N_c$ QCD: quark excitation versus meson-nucleon scattering

Abstract

We show that the two complementary pictures of large $N_c$ baryons - the single-quark orbital excitation about a symmetric core and the meson-nucleon resonance -- are compatible for $\ell$ = 3 SU(4) baryons. The proof is based on a simple Hamiltonian including operators up to order $\mathcal{O}(N^0_c)$ used previously in the literature for $\ell$ = 1.

7 pages, based on a talk given by Fl. Stancu at the Bled Workshop 2011 on "Understanding Hadronic Spectra"; proceedings edited by B.Golli, M.Rosina, S.Sirca