We demonstrate that the two major complementary pictures of large N c baryon resonances - as single-quark orbital excitations about a closed-shell core [giving SU(2NF) × O(3) multiplets], and as resonances in mesonbaryon scattering amplitudes - are completely compatible in a specific sense: Both pictures give rise to a set of multiplets of degenerate states, for which any complete spin-flavor multiplet within one picture fills the quantum numbers of complete multiplets in the other picture. This result is demonstrated by (i) straightforward computation of the lowest multiplets in both pictures, (ii) a study of the nature of quark excitations in a hedgehog picture, and (iii) direct group-theoretical comparison of the constraints in the two pictures.
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)