On Aharonov–Casher scattering in a CPT-odd Lorentz-violating background

Abstract

The effects of a Lorentz symmetry-violating background vector on Aharonov– Casher scattering in the nonrelativistic limit are considered. Using the selfadjoint extension method, we find that there is additional scattering for any value of the self-adjoint extension parameter and non-zero energy bound states for negative values of this parameter. Expressions for the energy bound states, phase-shift and scattering matrix are explicitly determined in terms of the self-adjoint extension parameter. The expression obtained for the scattering amplitude reveals that the helicity is not conserved in this scenario.