TY - JOUR
T1 - [Formula presented] expansion for excited baryons
AU - Pirjol, Dan
PY - 1998
Y1 - 1998
N2 - We derive consistency conditions which constrain the possible form of the strong couplings of the excited baryons to the pions. The consistency conditions follow from requiring the pion-excited baryon scattering amplitudes to satisfy the large-(Formula presented) Witten counting rules and are analogous to consistency conditions used by Dashen, Jenkins, and Manohar and others for (Formula presented)-wave baryons. The consistency conditions are explicitly solved, giving the most general allowed form of the strong vertices for excited baryons in the large-(Formula presented) limit. We show that the solutions to the large-(Formula presented) consistency conditions coincide with the predictions of the nonrelativistic quark model for these states, extending the results previously obtained for the (Formula presented)-wave baryons. The (Formula presented) corrections to these predictions are studied in the quark model with arbitrary number of colors (Formula presented)
AB - We derive consistency conditions which constrain the possible form of the strong couplings of the excited baryons to the pions. The consistency conditions follow from requiring the pion-excited baryon scattering amplitudes to satisfy the large-(Formula presented) Witten counting rules and are analogous to consistency conditions used by Dashen, Jenkins, and Manohar and others for (Formula presented)-wave baryons. The consistency conditions are explicitly solved, giving the most general allowed form of the strong vertices for excited baryons in the large-(Formula presented) limit. We show that the solutions to the large-(Formula presented) consistency conditions coincide with the predictions of the nonrelativistic quark model for these states, extending the results previously obtained for the (Formula presented)-wave baryons. The (Formula presented) corrections to these predictions are studied in the quark model with arbitrary number of colors (Formula presented)
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U2 - 10.1103/PhysRevD.57.1449
DO - 10.1103/PhysRevD.57.1449
M3 - Article
AN - SCOPUS:0000574492
SN - 1550-7998
VL - 57
SP - 1449
EP - 1486
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 3
ER -