$\Delta$ resonance contribution to two-photon exchange in electron-proton scattering

Abstract

We calculate the effects on the elastic electron-proton scattering cross section of the two-photon exchange contribution with an intermediate $\Delta$ resonance. The $\Delta$ two-photon exchange contribution is found to be smaller in magnitude than the previously evaluated nucleon contribution, with an opposite sign at backward scattering angles. The sum of the nucleon and $\Delta$ two-photon exchange corrections has an angular dependence compatible with both the polarisation transfer and the Rosenbluth methods of measuring the nucleon electromagnetic form factors.

9 pages, 3 figures, RevTeX4; more complete discussion of results, conclusions unchanged; to be published in Physical Review Letters

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• Precision Rosenbluth measurement of the proton elastic form factors
• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
• ${\gamma }^{\ast }N\Delta$ Form Factors from a Relativistic Dynamical Model of Pion Electroproduction
• Ratio of the proton electromagnetic form factors from meson dressing

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