$\Delta (1232)$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering Revisited

Abstract

We revisit the question of the contributions of two-photon exchange with $\Delta (1232)$ excitation to the electron-proton scattering in a hadronic model. Three improvements over the previous calculations are made, namely, correct vertex function for $\gamma N\to \Delta$, realistic $\gamma N\Delta$ form factors, and coupling constants. The discrepancy between the values of $R\equiv {\mu }_p{G}_E/G_M$ extracted from Rosenbluth technique and polarization transfer method can be reasonably accounted for if the data of Andivahis {\it et al.} \cite{Andivahis94} are analyzed. However, substantial discrepancy remains if the data of Qattan {\it et al.} \cite{Qattan05} are used. For the ratio $R^{\pm }$ between $e^{\pm }p$ scatterings, our predictions appear to be in satisfactory agreement with the preliminary data from VEPP-3. The agreement between our model predictions and the recent measurements on single spin asymmetry, transverse and longitudinal recoil proton polarizations ranges from good to poor.

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• Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• Effective field theory for large logarithms in radiative corrections to electron proton scattering
• Dispersion relation formalism for the two-photon exchange correction to elastic muon-proton scattering: elastic intermediate state
• Two-photon exchange from intermediate state resonances in elastic electron-proton scattering
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Phenomenological extraction of two-photon exchange amplitudes from elastic electron-proton scattering cross section data
• Two-photon-exchange effects in the unpolarized $\mu p$ scattering within the hadronic model
• Two-photon exchange corrections to ${\gamma }^{\ast }N\Delta$ form factors for $Q^2\le 4$ (Gev/$c$)${}^2$
• Delta(1232) contribution to real photon radiative corrections for elastic electron-proton scattering
• Two-Photon-Exchange Effects and $\Delta (1232)$ Deformation
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• A measurement of two-photon exchange in Super-Rosenbluth separations with positron beams