F. M. Andrade, E. O. Silva, T. Prudêncio, C. Filgueiras
The effects of a Lorentz symmetry violating background vector on the Aharonov-Casher scattering 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.
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http://arxiv.org/abs/1303.1660
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