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

TL;DR

This paper investigates how extra-dimensional gravity interactions influence hadron scattering amplitudes, exploring potential periodic structures and the effects of gravitational form factors derived from generalized parton distributions.

Contribution

It introduces a model analyzing the impact of Kaluza-Klein modes and extra dimensions on hadron scattering amplitudes, highlighting the role of gravitational form factors.

Findings

Periodic structures in scattering amplitude are likely due to calculation approximations.

Extra dimensions and KK-modes significantly affect the scattering behavior.

Gravitational form factors influence the interaction potential.

Abstract

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.