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RESEARCH PRODUCT
Compton scattering by a pion and off-shell effects
Harold W. FearingStefan Scherersubject
Elastic scatteringPhysicsNuclear and High Energy PhysicsChiral perturbation theoryNuclear Theory010308 nuclear & particles physicsScatteringHigh Energy Physics::LatticeComputer Science::Information RetrievalCompton scatteringFOS: Physical sciences01 natural sciencesNuclear Theory (nucl-th)Scattering amplitudeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PionQuantum electrodynamics0103 physical sciencesPerturbation theory010306 general physicsS-matrixdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-08-17 | Physical Review C |