  The effects of a Lorentz symmetry violating background vector on the
Aharonov-Casher scattering in the nonrelativistic limit is considered. By using
the self-adjoint extension method we found that there is an 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 the 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.
