Two-photon exchange in elastic electron-pion scattering

Abstract

We calculate two-photon exchange amplitude for the elastic electron-pion scattering in the dispersion-relation inspired approach, including both elastic and inelastic contributions. The latter was modelled as a sum of ρand b_1(1235) meson contributions. We find that at Q^2 < 2 GeV^2 the elastic contribution is dominant, similarly to electron-proton scattering case. At higher Q^2 the inelastic contribution is not negligible, but still smaller than the elastic one. We also explain observed rapid amplitude growth at backward angles.

5 pages, 3 figures. Minor text changes, Eq.(3) corrected, to appear in Phys.Rev.C

References in corpus (7)

• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Two-photon exchange in dispersion approach
• Box diagram in the elastic electron-proton scattering
• Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
• Transverse target spin asymmetry in inclusive DIS with two-photon exchange
• Two-photon exchange effect on deuteron electromagnetic form factors
• Two-photon exchange corrections to the pion form factor

Cited by in corpus (13)

• Review of two-photon exchange in electron scattering
• On Delta resonance contribution to two-photon exchange amplitude
• $\Delta (1232)$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering Revisited
• Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory
• Two-photon-exchange effects in the unpolarized $\mu p$ scattering within the hadronic model
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor
• Two Photon Exchange for Exclusive Pion Electroproduction
• Two photon exchange in elastic electron scattering off hadronic systems
• Measuring the lepton sign asymmetry in elastic electron-proton scattering with OLYMPUS
• Two-Photon-Exchange effects in $ep\to en{\pi }^{+}$ and their corrections to separated cross sections ${\sigma }_{\text{L,T,LT,TT}}$ at small $-t$
• Two-photon exchange in electron-trinucleon elastic scattering
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$