Scattering by a Nonspherical Potential

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Abstract
The scattering of a simple nonspherical potential with spheroidal symmetry is discussed. The spheroidal partial wave analysis method is used. It is found that the spheroidal phase shifts have the similar physical meaning as the conventional spherical phase shifts. The integral equation for the spheroidal phase shift is given. The scattering by a discontinuous spheroidal potential is also presented. The WKB approximation is used to evaluate the spheroidal phase shift at high energy. For small angle scattering our formulation reduces to a simple form as in the eikonal description.

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