The present work is devoted to the consideration of hadron-hadron scattering in the diffraction approximation. It is shown that scattering can be described using the vacuum Regge pole. The Regge pole model allows for some arbitrariness in the choice of the vacuum singularity and even more so in the choice of the form of the potential. In this work, the quasipotential is used and more attention is paid to the consideration of the analytical properties of the amplitude of elastic processes depending on the angular variables and the possibility of expanding the corresponding domains of analyticity, taking into account the unitarity condition.