English

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

High Energy Physics - Theory 2013-06-07 v2 Mathematical Physics math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1303.1660,
  title  = {On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background},
  author = {F. M. Andrade and E. O. Silva and T. Prudêncio and C. Filgueiras},
  journal= {arXiv preprint arXiv:1303.1660},
  year   = {2013}
}

Comments

14 pages, published version. arXiv admin note: text overlap with arXiv:1212.1944

R2 v1 2026-06-21T23:38:08.635Z