TY - JOUR
T1 - πN→ multi-πN scattering in the 1/Nc expansion
AU - Kwee, Herry J.
AU - Lebed, Richard
N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.
PY - 2007
Y1 - 2007
N2 - We extend the 1/Nc expansion meson-baryon scattering formalism to cases in which the final state contains more than two particles. We first show that the leading-order large Nc processes proceed through resonant intermediate states (e.g., ρN or πΔ). We then tabulate linear amplitude expressions for relevant processes and find that the pole structure of baryon resonances can be uniquely identified by their (non)appearance in ηN or mixed partial-wave πΔ final states. We also show that quantitative predictions of πN to πΔ branching ratios predicted at leading order alone do not agree with measurements, but the inclusion of 1/Nc corrections is ample to explain the discrepancies.
AB - We extend the 1/Nc expansion meson-baryon scattering formalism to cases in which the final state contains more than two particles. We first show that the leading-order large Nc processes proceed through resonant intermediate states (e.g., ρN or πΔ). We then tabulate linear amplitude expressions for relevant processes and find that the pole structure of baryon resonances can be uniquely identified by their (non)appearance in ηN or mixed partial-wave πΔ final states. We also show that quantitative predictions of πN to πΔ branching ratios predicted at leading order alone do not agree with measurements, but the inclusion of 1/Nc corrections is ample to explain the discrepancies.
UR - http://www.scopus.com/inward/record.url?scp=33846413214&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33846413214&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.75.016002
DO - 10.1103/PhysRevD.75.016002
M3 - Article
AN - SCOPUS:33846413214
VL - 75
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 1
M1 - 016002
ER -