TY - JOUR
T1 - Excited baryons in large [Formula Presented] QCD reexamined
T2 - The resonance picture versus single-quark excitations
AU - Cohen, Thomas D.
AU - Lebed, Richard
PY - 2003
Y1 - 2003
N2 - We analyze excited baryon properties via a [Formula Presented] expansion from two perspectives: as resonances in meson-nucleon scattering, and as single-quark excitations in the context of a simple quark model. For both types of analysis one can derive novel patterns of degeneracy that emerge as [Formula Presented] and that are shown to be compatible with one another. This helps justify the single-quark excitation picture and may give some insight into its successes. We also find that in the large [Formula Presented] limit one of the [Formula Presented] baryons does not couple to the [Formula Presented] channel but couples to the [Formula Presented] channel. This is empirically observed in the [Formula Presented] which couples very weakly to the [Formula Presented] channel and quite strongly to the [Formula Presented] channel. The comparatively strong coupling of the [Formula Presented] to the [Formula Presented] channel and weak coupling to [Formula Presented] channel is also predicted. In the context of the simple quark model picture we reproduce expressions for mixing angles that are accurate up to [Formula Presented] corrections and are in good agreement with mixing angles extracted phenomenologically.
AB - We analyze excited baryon properties via a [Formula Presented] expansion from two perspectives: as resonances in meson-nucleon scattering, and as single-quark excitations in the context of a simple quark model. For both types of analysis one can derive novel patterns of degeneracy that emerge as [Formula Presented] and that are shown to be compatible with one another. This helps justify the single-quark excitation picture and may give some insight into its successes. We also find that in the large [Formula Presented] limit one of the [Formula Presented] baryons does not couple to the [Formula Presented] channel but couples to the [Formula Presented] channel. This is empirically observed in the [Formula Presented] which couples very weakly to the [Formula Presented] channel and quite strongly to the [Formula Presented] channel. The comparatively strong coupling of the [Formula Presented] to the [Formula Presented] channel and weak coupling to [Formula Presented] channel is also predicted. In the context of the simple quark model picture we reproduce expressions for mixing angles that are accurate up to [Formula Presented] corrections and are in good agreement with mixing angles extracted phenomenologically.
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U2 - 10.1103/PhysRevD.67.096008
DO - 10.1103/PhysRevD.67.096008
M3 - Article
AN - SCOPUS:85038979012
SN - 1550-7998
VL - 67
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
ER -