%0 Journal Article
%T Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions
%A Qiong-gui Lin
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/33/28/309
%X 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 ($-q$, $-\phi/Z$) for one particle and ($Zq$, $\phi$) for the other. When $(Zq^2/\hbar c)^2\ll 1$, and $q\phi/2\pi\hbar c$ 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.
%U http://arxiv.org/abs/quant-ph/0007103v1