Accountancy of the Coulomb interaction in the calculation of the π+ meson elastic scattering with a deuteron

Investigated is π+ meson elastic scattering on a deuteron at approximately 2 MeV energy of relative motion with provision for the Coulomb interaction. An expression has been obtained for the total amplitude of the process on the assumption, that a pion interacts with a nucleon only in the S state. Pion-nucleon potential has been chosen in the separable form. Presented are the results of differential cross section calculation depending on a scattering angle in the system of inertia center and differential cross section of backward scattering as the energy function. It is shown, that at low energy values the exact accountancy of the Coulomb interaction and the approximate accountancy based on the summation of the strong and Coulomb phases provide similar results