Finite correction to Aharonov-Bohm scattering by a contact potential

Qiong-Gui Lin () and Xin-Jian Hu

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 56, issue 3, 235-241

Abstract: We study the influence of a contact (or delta) potential on the Aharonov-Bohm scattering of nonrelativistic particles. In general the contact potential has no effect on the scattering as expected. However, when the magnetic flux and the strength of the contact potential take some special values, the Aharonov-Bohm scattering cross-section is manifestly changed. It is shown that these special values correspond to the simultaneous existence of two half-bound states in two adjacent angular momentum channels. Two limiting processes are presented to deal with the singularity of the contact potential and results of the same nature are obtained. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 03.65.Nk Scattering theory, 03.65.Vf Phases: geometric; dynamic or topological, (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00111-x

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