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

A New Method for the Determination of the Real Part of the Hadron Elastic Scattering Amplitude at Small Angles and High Energies

A new method for the determination of the real part of the elastic scattering amplitude is examined for high energy proton-proton elastic scattering at small momentum transfer. This method allows us to decrease the number of model assumptions, to obtain the real part in a narrow region of momentum transfer and to test different models. The real part is computed at a given point t_min near t=0 from the known Coulomb amplitude. Hence one obtains an important constraint on the real part of the forward scattering amplitude and therefore on the rho-parameter (measuring the ratio of the real to imaginary part of the scattering amplitude at t=0), which can be tested at LHC.Comment: 10 pages and 5 figures. Final published form in Physics Letters