High-Energy Scattering for Yukawa Potentials

A reexamination is made of nonrelativistic scattering by a superposition of Yukawa potentials in the frame of a high-energy perturbation method developed previously by one of the authors. It is found that for Yukawa potentials expandable in ascending powers of r, the S matrix may be written in a remarkably simple form. A high-energy asymptotic expansion is obtained for the phase shift. The residue function at the Regge poles is found to have the same general form as for a Coulomb potential and is formally independent of any high-energy approximation.