Calculation of two-photon exchange effects for $\Delta$ production in electron-proton collisions

Abstract

We present an evaluation of a two-photon exchange correction to the cross section for unpolarized $\Delta$ isobar production in electron-proton collisions, using a relativistic, crossing symmetric and gauge invariant approach. The calculated box and crossed-box diagrams include nucleon and $\Delta$ intermediate states. We find a relation between the angular nonlinearity of the two-photon exchange contribution and the value of the $\gamma \Delta \Delta$ coupling constant.

arXiv comment10 pages, 2 figures, RevTeX4; more detailed discussion, results unchanged; to be published in Nucl.Phys.A

References in corpus (15)

• 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
• Partonic calculation of the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer
• Two-photon exchange in elastic electron-nucleon scattering
• Radiative Corrections to Electron-Proton Scattering
• Quantization of an interacting spin-3/2 field and the Delta isobar
• Field theory of nucleon to higher-spin baryon transitions
• $\Delta$ resonance contribution to two-photon exchange in electron-proton scattering
• Model independent properties of two-photon exchange in elastic electron proton scattering
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Experimental constraints on non-linearities induced by two-photon effects in elastic and inelastic Rosenbluth separations
• Trinucleon photonuclear reactions with $\Delta$-isobar excitation: Processes below pion-production threshold
• Search for evidence of two photon contribution in elastic electron proton data
• Compton scattering in a unitary approach with causality constraints
• Two-photon-exchange effects in the electro-excitation of the $\Delta$ resonance

Cited by in corpus (12)

• Electromagnetic excitation of the Delta(1232)-resonance
• Review of two-photon exchange in electron scattering
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Measurement of two-photon exchange effect by comparing elastic $e^{\pm }p$ cross sections
• Effective field theory for large logarithms in radiative corrections to electron proton scattering
• Comparison of Neural Network and Hadronic Model Predictions of Two-Photon Exchange Effect
• Measurements of the Separated Longitudinal Structure Function F_L from Hydrogen and Deuterium Targets at Low Q^2
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Two-photon exchange corrections to ${\gamma }^{\ast }N\Delta$ form factors for $Q^2\le 4$ (Gev/$c$)${}^2$
• Two-Photon-Exchange Effects and $\Delta (1232)$ Deformation
• Two photon exchange in elastic electron scattering off hadronic systems
• Improved radiative corrections and proton charge form factor from the Rosenbluth separation technique