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Scattering phase shift for relativistic exponential-type separable potentials

A. D. Alhaidari
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Abstract

The J-matrix method of scattering is used to obtain analytic expressions for the phase shift of two classes of relativistic exponential-type separable potentials whose radial component is either of the general form r^(n-1)exp(-r) or r^(2n)exp(-r^2), where n = 0, 1, or 2. The rank of these separable potentials is n + 1. The nonrelativistic limit is obtained and shown to be identical to the nonrelativistic phase shift. An exact numerical evaluation for higher order potentials (n > 2) can also be obtained in a simple way as illustrated for the case n = 3.

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A. D. Alhaidari. 2001-12-08. Scattering phase shift for relativistic exponential-type separable potentials. https://doi.org/10.1088/0305-4470%2F34%2F50%2F309

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