Two-photon exchange at low Q^2

Abstract

We study two-photon exchange for elastic electron-proton scattering at low Q^2. Compact approximate formulae for the amplitudes are obtained. Numerical calculations are done for Q^2 < 0.1 GeV^2 with several realistic form factor parameterizations, yielding similar results. They indicate that the corrections to magnetic form factor can visibly affect cross-section and proton radii. For low-Q^2 electron-neutron scattering two-photon exchange corrections are shown to be negligibly small.

5 pages, 4 figures

References in corpus (9)

• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• Precision Rosenbluth measurement of the proton elastic form factors
• Coulomb Corrections to Elastic Electron-Proton Scattering and the Proton Charge Radius
• Measurement of the vector analyzing power in elastic electron-proton scattering as a probe of double photon exchange amplitudes
• Measurement of the Transverse Beam Spin Asymmetry in Elastic Electron Proton Scattering and the Inelastic Contribution to the Imaginary Part of the Two-Photon Exchange Amplitude
• Proton radii and two-photon exchange
• Model independent properties of two-photon exchange in elastic electron proton scattering
• Box diagram in the elastic electron-proton scattering
• Two-Photon-Exchange Correction to Parity-Violating Elastic Electron-Proton Scattering

Cited by in corpus (23)

• The electric and magnetic form factors of the proton
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Review of two-photon exchange in electron scattering
• Low Q^2 measurements of the proton form factor ratio $m{u}_p{G}_E/G_M$
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Two-photon exchange in dispersion approach
• Flavor decomposition of the nucleon electromagnetic form factors
• Proton radius from electron-proton scattering and chiral perturbation theory
• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Reexamination of phenomenological two-photon exchange corrections to the proton form factors and e+-p scattering
• Comment on "High-Precision Determination of the Electric and Magnetic Form Factors of the Proton"
• Proton charge and magnetic rms radii from the elastic $ep$ scattering data
• The Role of Mesons in the Electromagnetic Form Factors of the Nucleon
• Demonstration of a novel technique to measure two-photon exchange effects in elastic $e^{\pm }p$ scattering
• Forward sum rule for the $2\gamma$-exchange correction to the charge radius extraction from elastic electron scattering
• Two-Photon Exchange Contribution to Proton Form Factors in Time-Like region
• Phenomenological extraction of two-photon exchange amplitudes from elastic electron-proton scattering cross section data
• Two photon exchange in elastic electron scattering off hadronic systems
• Generalized Sachs Form Factors and the Possibility of Their Measurement in Processes without and with Proton Spin Flip
• Two-photon exchange in electron-trinucleon elastic scattering
• Gauge Invariant Two-Photon-Exchange Contributions in $e^{-}{\pi }^{+}\to e^{-}{\pi }^{+}$
• Reliability Analysis of the Results of the Known Experiments on Measuring of the Sachs Form Factor Ratio Using the Rosenbluth Technique. Polarization of the Final Proton in the $e\vec{p}\to e\vec{p}$ Elastic Process
• Electron Beam Single-Spin Asymmetries in the Resonance Region with Final Hadrons Observed