  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 Log(s)2 and an additional term with
a large slope and with Log(s) growth. The cross-odd part includes the maximal
odderon term and an additional oscillation term Log(s) growth. It is shown that
both additional terms are proportional to charge distributions, but the maximal
odderon term is proportional to matter distributions
