  In the framework of the Regge-eikonal model of hadron interaction, based on
the analyticity of the scattering amplitude with taking into account the hadron
structure, the simultaneous analysis is carried out of the 90 sets of data.
These sets include the data obtained at low energies ($\sqrt{s} > 3.6 $ GeV and
at high energies at FNAL, ISR, $S\bar{p}pS$, TEVATRON and LHC with 4326
experimental points, including the polarization data of analysing power. The
energy and momentum transfer dependence of separate sets of data is analyzed on
the basis of the eikonalized Born amplitude with taking into account two
additional anomalous terms. Different origins of the nonlinear behavior of the
slope of the scattering amplitude are compared. No contribution of hard-Pomeron
in the elastic hadron scattering is shown. However, the importance of Odderon's
contribution is presented. The form and energy dependence of different terms of
the cross-even and cross-odd parts of the elastic nucleon-nucleon scattering
amplitude is determined in the framework of the High Energy Generalize
Structure (HEGS) model. In the framework of the HEGS model, using the
electromagnetic and gravitomagnetic form factors, the differential cross
sections in the Coulomb Nuclear Interference (CNI) region and at large momentum
transfer are described well in a wide energy region simultaneously. It is shown
that the cross-even part includes the soft pomeron growing like $\ln^{2}(s)$
and an additional term with a large slope and with and with energy dependence
$\ln^2(s)$. The cross-odd part includes the maximal odderon term and an
additional oscillation term with $\ln(s)$. It is shown that both additional
terms are proportional to charge distributions but the maximal odderon term is
proportional to matter distributions.
