Compton Scattering by a Pion and off--Shell Effects

Details Compton Scattering by a Pion and off--Shell Effects Compton Scattering by a Pion and off--Shell Effects

1994-08-17

arxiv.org/abs/hep-ph/9408312v1

Phys.Rev.C51:359-363,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages in LaTeX, using RevTex macro, TRIUMF preprint TRI-PP-94-65

Scientific paper

10.1103/PhysRevC.51.359

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 $p^4$ 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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