TY - JOUR
T1 - 1/Nc corrections to the SU(4)c symmetry for L = 1 baryons
T2 - The three towers
AU - Pirjol, Dan
AU - Schat, Carlos
PY - 2003
Y1 - 2003
N2 - In the large Nc limit, the mass spectrum of the L=1 orbitally excited baryons A* has a very simple structure, with states degenerate in pairs of spins J=(1/2,3/2),(3/2,5/2), corresponding to irreducible representations (towers) of the contracted SU(4)c symmetry group. The mixing angles are completely determined in this limit. Using a mass operator approach, we study 1/Nc corrections to this picture, pointing out a fourfold ambiguity in the correspondence of the observed baryons with the large Nc states. For each of the four possible assignments, we fit the coefficients of the quark operators contributing to the mass spectrum to O(Nc-1). We comment on the implications of our results for the constituent quark model description of these states.
AB - In the large Nc limit, the mass spectrum of the L=1 orbitally excited baryons A* has a very simple structure, with states degenerate in pairs of spins J=(1/2,3/2),(3/2,5/2), corresponding to irreducible representations (towers) of the contracted SU(4)c symmetry group. The mixing angles are completely determined in this limit. Using a mass operator approach, we study 1/Nc corrections to this picture, pointing out a fourfold ambiguity in the correspondence of the observed baryons with the large Nc states. For each of the four possible assignments, we fit the coefficients of the quark operators contributing to the mass spectrum to O(Nc-1). 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:0038575070
SN - 0556-2821
VL - 67
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
M1 - 096009
ER -