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 language||English (US)|
|Number of pages||1|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - Jan 1 2004|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)