Conservation of helicity is applied to the scattering of relativistic electrons by an infinitely long solenoid of arbitrarily small radius (Aharonov-Bohm scattering). It is also shown that the Born approximation, which fails when applied to Aharonov-Bohm scattering in the Schr\"odinger equation formalism, gives correct results in the case of the Dirac equation.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsNov 15, 199026 citations

Aharonov-Bohm scattering of relativistic Dirac particles with an anomalous magnetic moment

Qiong-Gui Lin

Physical Review AOct 11, 20059 citations

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Polarization contribution to the Aharonov-Bohm scattering for a relativistic dirac electron

R. Gianvittorio, Umberto Percoco, Vı́ctor M. Villalba

Published Apr 1, 1993• 0 citations

Publisher

DOI: 10.1007/bf02828722

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Aharonov-Bohm scattering of relativistic Dirac particles with an anomalous magnetic moment

Qiong-Gui Lin

The Aharonov-Bohm scattering of relativistic spin- $1∕2$ particles with an anomalous magnetic moment are studied. The scattering cross sections for unpolarized and polarized particles are obtained by solving the Dirac-Pauli equation. It is somewhat unexpected that the results are in general the same as those for particles without an anomalous magnetic moment. However, when the incident energy takes some special values, the cross section for polarized particles is dramatically changed. In these cases the helicity of scattered particles is not conserved. In particular, the helicity of particles scattered in the backward direction is all reversed. In the nonrelativistic limit, a very simple relation between the polarized directions of the incident and scattered particles is found, for both general and special incident energies. For particles without an anomalous magnetic moment this relation can be drawn from previous results but it appears to be unnoticed.The Aharonov-Bohm scattering of relativistic spin-$1∕2$ particles with an anomalous magnetic moment are studied. The scattering cross sections for unpolarized and polarized particles are obtained by solving the Dirac-Pauli equation. It is somewhat unexpected that the results are in general the same as those for particles without an anomalous magnetic moment. However, when the incident energy takes some special values, the cross section for polarized particles is dramatically changed. In these cases the helicity of scattered particles is not conserved. In particular, the helicity of particles scattered in the backward direction is all reversed. In the nonrelativistic limit, a very simple relation between the polarized directions of the incident and scattered particles is found, for both general and special incident energies. For particles without an anomalous magnetic moment this relation can be drawn from previous results but it appears to be unnoticed.

Physical Review AOct 11, 20059 citations

The Aharonov-Bohm scattering of relativistic spin-

1∕2

particles with an anomalous magnetic moment are studied. The scattering cross sections for unpolarized and polarized particles are obtained by solving the Dirac-Pauli equation. It is somewhat unexpected that the results are in general the same as those for particles without an anomalous magnetic moment. However, when the incident energy takes some special values, the cross section for polarized particles is dramatically changed. In these cases the helicity of scattered particles is not conserved. In particular, the helicity of particles scattered in the backward direction is all reversed. In the nonrelativistic limit, a very simple relation between the polarized directions of the incident and scattered particles is found, for both general and special incident energies. For particles without an anomalous magnetic moment this relation can be drawn from previous results but it appears to be unnoticed.