The questions related to the substantive characteristics which differentiate the stationary scattering theory in Coulomb and short-range (nuclear) potential are examined. It is shown that the Coulomb wave function $\varphi_{c}(\mathbf{r}, \mathbf{p})$ cnnot be used in pure form to determine the amplitude of scattering without considering the boundary conditions. An integral representation is found for the amplitude of Coulomb scattering which coincides with the Rutherford amplitude at angles of $\theta \neq 0$.
Research Institute of Nuclear Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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