Gravitation interaction with extra dimension and periodic structure of the hadron scattering amplitude

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.Comment: 9 pages, 8 figures, talk on the Intern. Workshop "Bogoliubov Readings", Dubna (2010); updated reference