Pion-nucleon scattering relations at next-to-leading order in 1/N c

Thomas D. Cohen, Daniel C. Dakin, Abhinav Nellore, Richard F. Lebed

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We obtain relations between partial-wave amplitudes for πN → πN and πN → πΔ directly from large Nc QCD. While linear relations among certain amplitudes holding at leading order (LO) in 1/N c were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large Nc expansion. At LO in 1/Nc we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at LO and thus have little additional predictive power. However, three NLO relations for the πN → πΔ reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment These relations describe experiment dramatically better than their LO counterparts.

Original languageEnglish (US)
Article number056004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number5
DOIs
StatePublished - 2004
Externally publishedYes

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pions
Scattering
solitary waves
scattering
Solitons
quantum chromodynamics
Unknown
expansion
Order Relation
Linear Relation
predictions
Experiment
Model
Partial
Prediction

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Pion-nucleon scattering relations at next-to-leading order in 1/N c. / Cohen, Thomas D.; Dakin, Daniel C.; Nellore, Abhinav; Lebed, Richard F.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 5, 056004, 2004.

Research output: Contribution to journalArticle

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