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Relativistic Corrections to the Aharonov-Bohm Scattering

M. Gomes·J. M. C. Malbouisson·A. J. da Silva
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Abstract

We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering.

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M. Gomes, J. M. C. Malbouisson, A. J. da Silva. 1996-11-05. Relativistic Corrections to the Aharonov-Bohm Scattering. https://doi.org/10.1016/s0375-9601(97)00831-1

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