  On the basis of the new high energy general structure (HEGS) model, which
takes into account the different moments of the General Parton Distributions
(GPDs) of the hadron, the quantitative descriptions of all existing
experimental data from \sqrt{s} = 9.8 GeV to <= \sqrt{s} <= 7 TeV, including
the Coulomb range and large momentum transfers up to -t=15 GeV^2, are obtained
with only 3 free fitting high energy parameters. The real part of the hadronic
amplitude is determined only through complex s satisfying the dispersion
relations. The negligible contributions of the hard Pomeron and non-small
contributions of the maximal Odderon is shown. Predictions for LHC energies are
made.
