Abstract

The phase shifts of the Klein-Gordon and of the Dirac equation are developed in powers of the inverse of the momentum, following a method based on the iteration of an integral equation. The expansion is found to be possible only under somewhat restrictive conditions for the potential. A procedure is suggested by which, if the phase shifts for a certain potential are given, those for a large family of other potentials can be calculated by series expansions in powers of the inverse of the momentum. This method is seen to be rapidly convergent for small values of the angular momentum, and is relevant to recent calculations on the scattering of high-energy electrons by nuclei.

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