On the basis of the representation of the generalized structure of nucleons a new model of the hadron interaction at high energies is presented. A new $t$ dependence of the generalized parton distributions is obtained from the comparative analysis of different sets of the parton distribution functions, based on the description of the entire set of experimental data for the electromagnetic form factors of the proton and neutron. Taking into account the different moments of the generalized parton distributions of the hadron, quantitative descriptions of all existing experimental data of the proton-proton and proton-antiproton elastic scatterings from $\sqrt{s}=9.8\mathrm{GeV}$ to 8 TeV, including the Coulomb range and large momentum transfers up to $-t=15{\mathrm{GeV}}^2$, are obtained with a few free high-energy fitting parameters. The real part of the hadronic elastic scattering amplitude is determined only through the complex $s$ that satisfies the dispersion relations. The negligible contributions of the hard Pomeron and the presence of the non-small contributions of the maximal Odderon are obtained. The non-dying form of the spin-flip amplitude is examined as well. The structures of the Born term and unitarized scattering amplitude are analyzed. It is shown that the black disk limit for the elastic scattering amplitude is not reached at LHC energies. Predictions for LHC energies are made.

• Received 2 April 2015

DOI:https://doi.org/10.1103/PhysRevD.91.113003