Two photon exchange amplitude with πN intermediate states: spin-1/2 and spin-3/2 channels

Abstract

We calculate two-photon exchange (TPE) amplitudes for the elastic electron-proton scattering, and take into account intermediate hadronic states containing πN system with total angular momentum 1/2 or 3/2, which includes 8 different channels. This is the improvement of our previous calculation, where only the πN states with quantum numbers of Δ(1232) resonance were included. The results show good consistency with recent experimental data. At high Q^2, newly-calculated contributions affect the correction to the measured proton form factor ratio μG_E/G_M. The total correction becomes somewhat smaller compared to our previous work, but is still significant and grows approximately linearly with Q^2. Comparing contributions of different channels, we found that larger contributions come from the channels with quantum numbers of lightest resonances.

6 pages, 6 figures

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Cited by in corpus (14)

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• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• 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
• Delta(1232) contribution to real photon radiative corrections for elastic electron-proton scattering
• Two photon exchange in elastic electron scattering off hadronic systems
• Reanalysis of low-energy electron-proton scattering data and proton radius
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies