  The behavior of the hadron scattering amplitude determined by the gravitation
interaction of hadron at high energies with impact of the KK-modes in d-brane
models of gravity is examined. The possible periodic structure of the
scattering amplitude and its dependence on the number of additional dimensions
are analyzed. The effects of the gravitational hadron form factors obtained
from the hadron eneralized parton distributions (GPDs) on the behavior of the
interaction potential and the scattering amplitude are analyzed. It is shown
that in most part the periodic structure comes from the approximation of our
calculations.
