Abstract:
We consider the scattering of a massive neutral fermion with an anomalous magnetic moment in the electric field of a homogeneously charged straight thin thread from the standpoint of the quantum mechanical problem of constructing a self-adjoint Hamiltonian for the nonrelativistic Dirac–Pauli equation. Using the solutions obtained for the self-adjoint Hamiltonian, we investigate the scattering of the neutral fermion in the electric field of a thread oriented perpendicular to the plane of fermion motion (the Aharonov–Casher effect). We find expressions for the scattering amplitude and cross section of neutral fermions in the electric field of the thread. We show that the scattering amplitude and cross section depend both on the direct interaction between the fermion anomalous magnetic moment and the electric field and on the polarization of the fermionic beam in the initial state.
Citation:
V. R. Khalilov, I. V. Mamsurov, “Scattering of a neutral fermion with anomalous magnetic moment by a charged straight thin thread”, TMF, 161:2 (2009), 212–223; Theoret. and Math. Phys., 161:2 (2009), 1503–1512
\Bibitem{KhaMam09}
\by V.~R.~Khalilov, I.~V.~Mamsurov
\paper Scattering of a~neutral fermion with anomalous magnetic moment by a~charged straight thin thread
\jour TMF
\yr 2009
\vol 161
\issue 2
\pages 212--223
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\crossref{https://doi.org/10.4213/tmf6433}
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\zmath{https://zbmath.org/?q=an:1183.81117}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 2
\pages 1503--1512
\crossref{https://doi.org/10.1007/s11232-009-0137-9}
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Linking options:
https://www.mathnet.ru/eng/tmf6433
https://doi.org/10.4213/tmf6433
https://www.mathnet.ru/eng/tmf/v161/i2/p212
This publication is cited in the following 14 articles:
Márcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva, “Effects of rotation and Coulomb-type potential on the spin-1/2 Aharonov–Bohm problem”, Eur. Phys. J. Plus, 138:2 (2023)
M. Cunha M. O. Silva E., “Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime”, Universe, 6:11 (2020), 203
Salem V., Costa R.F., Silva E.O., Andrade F.M., “Self-Adjoint Extension Approach For Singular Hamiltonians in (2+1) Dimensions”, Front. Physics, 7 (2019), 175
Rojas M., Filgueiras C., Brandao J., Moraes F., “Topological and Non Inertial Effects on the Interband Light Absorption”, Phys. Lett. A, 382:6 (2018), 432–439
Khalilov V.R., “Quantum States of a Neutral Massive Fermion With An Anomalous Magnetic Moment in An External Electric Field”, Mosc. Univ. Phys. Bull., 73:3 (2018), 293–300
Andrade F.M., Filgueiras C., Silva E.O., “Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime”, Adv. High. Energy Phys., 2017, 8934691
Khalilov V.R., “Quantum States of a Neutral Massive Fermion With An Anomalous Magnetic Moment in An Aharonov-Casher Field”, Int. J. Mod. Phys. A, 32:18 (2017), 1750111
Castro L.B., Silva E.O., “Quantum Dynamics of a Spin-1/2 Charged Particle in the Presence of a Magnetic Field With Scalar and Vector Couplings”, Eur. Phys. J. C, 75:7 (2015), 321
V. R. Khalilov, “Bound states of massive fermions in Aharonov–Bohm-like fields”, Eur. Phys. J. C, 74:1 (2014), 2708, 7 pp.
Andrade F.M. Silva E.O., “Effects of Spin on the Dynamics of the 2D Dirac Oscillator in the Magnetic Cosmic String Background”, Eur. Phys. J. C, 74:12 (2014), 3187
Khalilov V.R., Lee K.E., Mamsurov I.V., “Spin-polarized fermions in an Aharonov-Bohm field”, Mod. Phys. Lett. A, 27:5 (2012), 1250027, 16 pp.
Khalilov V.R., Lee K.E., “Bound fermion states in a vector 1/r and Aharonov-Bohm potential in (2+1) dimensions”, Modern Phys. Lett. A, 26:12 (2011), 865–883
Khalilov V.R., Lee K.E., “Fermions in scalar Coulomb and Aharonov-Bohm potentials in 2+1 dimensions”, J. Phys. A, 44:20 (2011), 205303, 15 pp.
V. R. Khalilov, “Fermion bound states in the Aharonov–Bohm field in 2+1 dimensions”, Theoret. and Math. Phys., 163:1 (2010), 511–516
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