High energy inelastic electron hadron scattering, in peripheral kinematics. Sum rules for hadron form factors

Relations between differential cross section for inelastic scattering of electrons on hadrons and hadron form factors (sum rules) are derived on the basis of analytical properties of heavy photon forward Compton scattering on hadrons. Sum rules relating the slope of form factors at zero momentum transfer and anomalous magnetic moments of hadrons with some integrals on photoproduction on a hadron are obtained as well. The convergency of these integrals is provided by the difference of individual sum rules for different hadrons. The universal interaction of the Pomeron with nucleons is assumed. We derive the explicit formulas for the processes of electroproduction on proton and light isobar nuclei. Sudakov's parametrization of momenta for peripheral kinematics, relevant here, is used. The light-cone form of differential cross sections is also discussed. The accuracy of sum rules estimated in frames of pointlike hadrons and it is shown to be at the level of precision achievable by experiments. Suggestions and predictions for future experiments are also given.