Sum rule for the double virtual Compton scattering

Details Sum rule for the double virtual Compton scattering Sum rule for the double virtual Compton scattering

2007-11-20

arxiv.org/abs/0711.3192v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages 4 figures

Scientific paper

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.

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