Two-photon-exchange effects in the electro-excitation of the $Δ$ resonance

Details Two-photon-exchange effects in the electro-excitation of the $Δ$ resonance Two-photon-exchange effects in the electro-excitation of the $Δ$ resonance

2005-09-06

arxiv.org/abs/hep-ph/0509055v1

Phys.Rev.Lett. 96 (2006) 012301

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.012301

We evaluate the two-photon exchange contribution to the $e N \to e \Delta(1232) \to e \pi N$ process at large momentum transfer with the aim of a precision study of the ratios of electric quadrupole (E2) and Coulomb quadrupole (C2) to the magnetic dipole (M1) $\gamma^* N \Delta$ transitions. We relate the two-photon exchange amplitude to the $N \to \Delta$ generalized parton distributions and obtain a quantitative estimate of the two-photon effects. The two-photon exchange corrections to the C2/M1 ratio depend strongly on whether this quantity is obtained from an interference cross section or from the Rosenbluth-type cross sections, in similarity with the elastic, $e N \to e N$, process.

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