On Delta resonance contribution to two-photon exchange amplitude

Abstract

We consider two-photon exchange (TPE) in the elastic electron-proton scattering and study the contribution arising from the production of Delta(1232) resonance in the intermediate state. We calculate all three TPE amplitudes (generalized form factors), and find that the Delta contribution mainly influences generalized electric form factor (contrary to the elastic contribution, which affects magnetic form factor), and the effect grows with Q^2. If the corresponding correction is applied to the recent polarization transfer measurements of proton form factors, their results will change markedly. Thus we suggest that TPE corrections due to inelastic intermediate states are important to polarization experiments at high Q^2, and should not be neglected.

6 pages, 7 figures; Eq.(13) corrected, Fig. 5 changed, other minor changes; to be published in Phys.Rev.C

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• Two photon exchange amplitude with πN intermediate states: P33 channel
• An experimental program with high duty-cycle polarized and unpolarized positron beams at Jefferson Lab
• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Proton radius from electron-proton scattering and chiral perturbation theory
• Effective field theory for large logarithms in radiative corrections to electron proton scattering
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• $\Delta (1232)$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering Revisited
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• Comparison of Neural Network and Hadronic Model Predictions of Two-Photon Exchange Effect
• Two-photon exchange from intermediate state resonances in elastic electron-proton scattering
• Two photon exchange amplitude with πN intermediate states: spin-1/2 and spin-3/2 channels
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Demonstration of a novel technique to measure two-photon exchange effects in elastic $e^{\pm }p$ scattering
• 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
• Delta(1232) contribution to real photon radiative corrections for elastic electron-proton scattering
• Meson exchange effects in elastic $ep$ scattering at loop level and the electromagnetic form factors of the proton
• Two photon exchange in elastic electron scattering off hadronic systems
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor
• 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 $-t$
• TPEcalc: a program for calculation of two-photon exchange amplitudes
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ at small $\sqrt{s}$