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Compton scattering by a pion and off-shell effects

1994/08/17 by S. Scherer, H. W. Fearing · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.51.359

published as Phys.Rev.C51:359-363,1995 · 13 pages in LaTeX, using RevTex macro, TRIUMF preprint TRI-PP-94-65

arxiv created 1994/08/17 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Compton scattering by a pion in the framework of chiral perturbation theory. We investigate off-shell effects in the s- and u-channel pole diagrams. For that purpose we perform a field transformation which, in comparison with the standard Gasser and Leutwyler Lagrangian, generates additional terms at order p4 proportional to the lowest-order equation of motion. As a result of the equivalence theorem the two Lagrangians predict the same Compton scattering S-matrix even though they generate different off-shell form factors. We conclude that off-shell effects are not only model dependent but also representation dependent.

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