Crossing symmetric potential model of pion-nucleon scattering

Boris Blankleider; Alexander Kvinikhidze; Tristan Skawronski

doi:10.1063/1.3479344

Crossing symmetric potential model of pion-nucleon scattering

Boris Blankleider, Alexander Kvinikhidze, Tristan Skawronski

Research output: Contribution to conference › Paper › peer-review

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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
Pages	19-24
Number of pages	6
DOIs	https://doi.org/10.1063/1.3479344
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
Period	15/02/10 → …

Keywords

Crossing symmetry
Gauge invariance
Pion photoproduction
Pion-nucleon scattering
Unitarity

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10.1063/1.3479344

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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.",

keywords = "Crossing symmetry, Gauge invariance, Pion photoproduction, Pion-nucleon scattering, Unitarity",

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AU - Kvinikhidze, Alexander

AU - Skawronski, Tristan

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N2 - 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.

AB - 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.

KW - Crossing symmetry

KW - Gauge invariance

KW - Pion photoproduction

KW - Pion-nucleon scattering

KW - Unitarity

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U2 - 10.1063/1.3479344

DO - 10.1063/1.3479344

M3 - Paper

SP - 19

EP - 24

T2 - Achievements and New Directions in Sub-atomic Physics

Y2 - 15 February 2010

ER -

Crossing symmetric potential model of pion-nucleon scattering

Abstract

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Keywords

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