The hadron structure and the description of the elastic scattering in a wide region of t and s

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.