Scattering phase shift for relativistic exponential-type separable potentials

Details Scattering phase shift for relativistic exponential-type separable potentials Scattering phase shift for relativistic exponential-type separable potentials

2001-12-04

arxiv.org/abs/math-ph/0112005v2

J. Phys. A 34, 11273 (2001); Corregindum: 37, 8911 (2004)

Physics

Mathematical Physics

Accepted for publication in J. Phys. A, to appear in January 2002. Replaced with a more portable PDF version

Scientific paper

10.1088/0305-4470/34/50/309

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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