Box diagram in the elastic electron-proton scattering

Abstract

We present an evaluation of box diagram for the elastic $ep$ scattering with proton in the intermediate state. Using analytic properties of the proton form factors we express the amplitude via twofold integral, which involves the form factors in the space-like region only. Therefore experimentally measured form factors can be used in the calculations directly. The numerical calculation is done with the form factors extracted by Rosenbluth, as well as by polarization transfer methods. The dependence of the results on the form factor choice is small for $Q^2<6Ge{V}^2$, but becomes sizable at higher $Q^2$.

Misprints corrected, two Appendices with technical details added

References in corpus (9)

• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• Two-photon exchange and elastic electron-proton scattering
• How to reconcile the Rosenbluth and the polarization transfer method in the measurement of the proton form factors
• Two-photon exchange in elastic electron-nucleon scattering
• Radiative Corrections to Electron-Proton Scattering
• $\Delta$ resonance contribution to two-photon exchange in electron-proton scattering
• New empirical fits to the proton electromagnetic form factors

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