Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/Nc
Thomas D. Cohen, Richard F. Lebed
Abstract
We demonstrate that the two major complementary pictures of large Nc baryon resonances--as single-quark orbital excitations about a closed-shell core [giving SU(2NF) x O(3) multiplets], and as resonances in meson-baryon 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; (iii) direct group-theoretical comparison of the constraints in the two pictures.
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