Crossing symmetric potential model of pion-nucleon scattering

Journal Article · Tue Jul 27 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3479344· OSTI ID:21410763

Blankleider, B; Skawronski, T ^[1]; Kvinikhidze, A N ^[2]

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1. School of Chemical and Physical Sciences, Flinders University, South Australia (Australia)
2. Razmadze Mathematical Institute (Georgia)

A crossing symmetric {pi}N scattering amplitude is constructed through a complete attachment of two external pions to the dressed nucleon propagator of an underlying {pi}N 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 {pi}NN vertex of the same potential model.

• OSTI ID: 21410763
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1261; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYONS
BASIC INTERACTIONS
BOSONS
COMPTON EFFECT
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FERMIONS
GAUGE INVARIANCE
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
MASS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PHOTOPRODUCTION
PION-NUCLEON INTERACTIONS
PIONS
PROPAGATOR
PSEUDOSCALAR MESONS
SCATTERING
SCATTERING AMPLITUDES
SYMMETRY