摘要
In order to better understand the fundamental issue regarding the compatibility between the quark-shell picture and that of resonances in meson-nucleon scattering in large N-c QCD we extend the work of Cohen and Lebed on mixed symmetric l = 1 baryons to analyze excited states with l = 3. We give an explicit proof on the degeneracy of mass eigenvalues of a simple Hamiltonian including operators up to order O(N-c(0)), i.e., neglecting 1/N-c corrections in the quark-shell picture in the large N-c limit. We obtain three sets of degenerate states with l = 3, as in the case of l = 1 baryons. The compatibility between this picture and that of resonances in meson-nucleon scattering is discussed in the light of the present results.
- 出版日期2011-9-20