  With relation to the RHIC spin program we research the polarization effects
in elastic proton-proton scattering at small momentum transfer and in the
diffraction dip region. The calculations take into account the Coulomb-hadron
interference effects including the additional Coulomb-hadron phase. In
particular we show the impact of the form of the hadron potential at large
distances on the behavior of the hadron spin-flip amplitude at small angles.
The $t$-dependence of the spin-flip amplitude of high energy hadron elastic
scattering is analyzed under different assumptions on the hadron interaction.
