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 the anomalous
magnetic moments of hadrons with integrated photo-production cross section
on hadrons are obtained. The convergency of
these integrals is provided by the difference of individual sum rules for
different hadrons. Universal interaction of Pomeron with nucleons is
assumed. Explicit formulae for the processes of
electro-production on proton and light isobar nuclei are derived, in frame of
the Sudakov\'s parametrization of momenta, wich is well adapted to peripheral
kinematics. The light-cone form of the differential cross sections is also
discussed. The accuracy of sum rules is estimated in frame of
point-like hadrons and it is shown to be at the level of precision
achievable by experiments. Suggestions and predictions for future
experiments are also given. |
