Pion-nucleon scattering relations at next-to-leading order in [Formula Presented]

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

Research output: Contribution to journalArticlepeer-review


We obtain relations between partial-wave amplitudes for [Formula Presented] and [Formula Presented] directly from large [Formula Presented] QCD. While linear relations among certain amplitudes holding at leading order (LO) in [Formula Presented] 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 [Formula Presented] expansion. At LO in [Formula Presented] 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 [Formula Presented] 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)
Pages (from-to)7
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number5
StatePublished - 2004

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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