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Scattering of relativistic particles by a Coulomb field in two dimensions

Qiong-gui Lin
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Abstract

The scattering of relativistic Dirac particles by a Coulomb field $\pm Ze^2/r$ in two dimensions is studied and the scattering amplitude is obtained as a partial wave series. For small $Z$ the series can be summed up approximately to give a closed form. The result, though being aproximate, exhibites some nonperturbative feature and cannot be obtained from perturbative quantum electrodynamics at the tree level.

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Qiong-gui Lin. 1999-10-11. Scattering of relativistic particles by a Coulomb field in two dimensions. https://doi.org/10.1016/s0375-9601(99)00507-1

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