On the long-range behaviour of the effective proton-deuteron interaction potential in three-body theory

The Coulomb scattering of the proton by the duteron is investigated on the basis of the rigorous three-particle theory in the integral equation approach. The nuclear interaction between the bound nucleons is described by means of the simple s-wave separable potential. The integral equations determining the effective proton-deuteron potential and the corresponding scattering amplitude are formulated. It is shown that the Coulomb multiple scattering of the charged particles (of the protons) generates a sequence of long-range terms. It is found that the long-range effects of the Coulomb rescattering are partly cancelled. As a result, the polarization potential does not contain the most long-range terms which decrease at large distances as ρ-2 and ρ-3; ρ is an impact parameter