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Relativistic scattering with a singular potential in the Dirac equation

M Loewe·S Mendizabal
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Abstract

An elementary treatment of the Dirac equation in the presence of a three dimensional spherically symmetric delta potential is presented. We show how to calculate the cross section using the relativistic wave expansion method for a one delta potential and two concentric delta potentials. We compare our results with the cross section calculated in the Born approximation.

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M Loewe, S Mendizabal. 2004-02-04. Relativistic scattering with a singular potential in the Dirac equation. https://arxiv.org/abs/quant-ph/0402030

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