TY - JOUR
T1 - [Formula Presented] corrections to the [Formula Presented] symmetry for [Formula Presented] baryons
T2 - The three towers
AU - Pirjol, Dan
AU - Schat, Carlos
PY - 2003
Y1 - 2003
N2 - In the large [Formula Presented] limit, the mass spectrum of the [Formula Presented] orbitally excited baryons [Formula Presented] has a very simple structure, with states degenerate in pairs of spins [Formula Presented] corresponding to irreducible representations (towers) of the contracted [Formula Presented] symmetry group. The mixing angles are completely determined in this limit. Using a mass operator approach, we study [Formula Presented] corrections to this picture, pointing out a fourfold ambiguity in the correspondence of the observed baryons with the large [Formula Presented] states. For each of the four possible assignments, we fit the coefficients of the quark operators contributing to the mass spectrum to [Formula Presented] We comment on the implications of our results for the constituent quark model description of these states.
AB - In the large [Formula Presented] limit, the mass spectrum of the [Formula Presented] orbitally excited baryons [Formula Presented] has a very simple structure, with states degenerate in pairs of spins [Formula Presented] corresponding to irreducible representations (towers) of the contracted [Formula Presented] symmetry group. The mixing angles are completely determined in this limit. Using a mass operator approach, we study [Formula Presented] corrections to this picture, pointing out a fourfold ambiguity in the correspondence of the observed baryons with the large [Formula Presented] states. For each of the four possible assignments, we fit the coefficients of the quark operators contributing to the mass spectrum to [Formula Presented] We comment on the implications of our results for the constituent quark model description of these states.
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U2 - 10.1103/PhysRevD.67.096009
DO - 10.1103/PhysRevD.67.096009
M3 - Article
AN - SCOPUS:85039018641
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 -