Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-03-11
Phys.Rev. D70 (2004) 056004
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 2 figures; references added
Scientific paper
10.1103/PhysRevD.70.056004
We obtain relations between partial-wave amplitudes for pi-N-->pi-N and pi-N-->pi-Delta directly from large N_c 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 N_c expansion. At LO 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 leading order (LO) and thus have little additional predictive power. However, three NLO relations for the pi-N-->pi-Delta 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.
Cohen Thomas D. .
Dakin Daniel C.
Lebed Richard F.
Nellore Abhinav
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