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

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 ($-q$, $-\varphi /Z$) for one particle and ($Zq$, $\varphi$) for the other. When $(Z{q}^2/\hslash c{)}^2\ll 1$, and $q\varphi /2\pi \hslash c$ 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.

revtex, 11 pages, no figure

References in corpus (2)

• Scattering of relativistic particles by a Coulomb field in two dimensions
• Quantum-mechanical model for particles carrying electric charge and magnetic flux in two dimensions

Cited by in corpus (2)

• Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
• Classical limit for the scattering of Dirac particles in a magnetic field