Abstract
A crossing symmetric πN scattering amplitude is constructed through a complete attachment of two external pions to the dressed nucleon propagator of an underlying πN potential model. Our formulation automatically provides expressions also for the crossing symmetric and gauge invariant pion photoproduction and Compton scattering amplitudes. We show that our amplitudes are unitary if they coincide on-shell with the amplitudes obtained by attaching one pion to the dressed πNN vertex of the same potential model.
Original language | English |
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Pages | 19-24 |
Number of pages | 6 |
DOIs | |
Publication status | Published - 13 Dec 2010 |
Event | Achievements and New Directions in Sub-atomic Physics - Duration: 15 Feb 2010 → … |
Conference
Conference | Achievements and New Directions in Sub-atomic Physics |
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Period | 15/02/10 → … |
Keywords
- Crossing symmetry
- Gauge invariance
- Pion photoproduction
- Pion-nucleon scattering
- Unitarity