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Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions

Qiong-gui Lin
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Abstract

The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body systems is extended to the relativistic case, and the scattering amplitude is obtained as a partial wave series. The electric charge and magnetic flux is ($-q$, $-ϕ/Z$) for one particle and ($Zq$, $ϕ$) for the other. When $(Zq^2/\hbar c)^2\ll 1$, and $qϕ/2π\hbar c$ takes on integer or half integer values, the partial wave series is summed up approximately to give a closed form. The results exhibit some nonperturbative features and cannot be obtained from perturbative quantum electrodynamics at the tree level.

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Qiong-gui Lin. 2000-07-27. Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions. https://doi.org/10.1088/0305-4470%2F33%2F28%2F309

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