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Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c

Thomas D. Cohen·Richard F. Lebed
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Abstract

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(2N_F) 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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Thomas D. Cohen, Richard F. Lebed. 2003-06-12. Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c. https://doi.org/10.1103/physrevd.68.056003

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