Sum rule for the double virtual Compton scattering
High Energy Physics - Phenomenology
2007-11-21 v1
Abstract
The two photon exchange amplitude is investigated in frame of analytic properties of the virtual Compton scattering amplitude as a function of the invariant mass squared of the intermediate hadronic state. A sum rule is built, based on arguments from analyticity. It relates the differential cross section of elastic electron-proton scattering including form factors, and the cross section of inelastic scattering channel, with a contribution of nucleon anti-nucleon pair production arising from the Fermi statistics. The last term is calculated in frame of a simple model of nucleon-pion interaction.
Cite
@article{arxiv.0711.3192,
title = {Sum rule for the double virtual Compton scattering},
author = {E. A. Kuraev and S. Bakmaev and E. Tomasi-Gustafsson and V. V. Bytev},
journal= {arXiv preprint arXiv:0711.3192},
year = {2007}
}
Comments
14 pages 4 figures