Relativistic elastic scattering of hydrogen atoms by positron impact with anomalous magnetic moment effects

Hrour, E.; Idrissi, M. El; Taj, S.; Manaut, B.

doi:10.1007/s12648-015-0649-0

Cited by 5 publications

(4 citation statements)

References 17 publications

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“…The theoretical work of [7] inspired Szymanowski et al [2] to investigate the spin effects in a laser-assisted Mott scattering process in great detail using the Dirac-Volkov formalism in the first Born approximation. There are many other papers in which the Dirac-Volkov formalism is fully used (see [8][9][10][11][12][13][14]). Roshchupkin [15] extended the same process to the second Born approximation.…”

Section: Introductionmentioning

confidence: 99%

On the Coulomb effect in laser-assisted proton scattering by a stationary atomic nucleus

et al. 2017

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In the framework of the first Born approximation, we investigate the scenario where in addition to a laser field, a nuclear Coulomb field is also present to affect a proton. We work in the approximation in which the proton is considered to be a structureless spin 1/2 Dirac particle with a mass m p . Furthermore, in the laboratory system, the fixed nucleus is treated as a point-like Coulomb potential. In the presence of a laser field, and taking into account the Coulomb effect, the proton will be described by distorted Dirac-Volkov wave functions. The introduction of the Coulomb effect to both the incident and scattered proton will enhance the relativistic differential cross sections (RDCSs). Regarding the physical picture, it is found that for the various kinetic energies of the incident proton, the Coulomb effect can be neglected at high kinetic energies in this particular geometry. Therefore, Dirac-Volkov states are largely sufficient to describe the laser-dressed protons. The behavior of the various RDCSs versus the atomic number Z is also presented.

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Section: Introductionmentioning

confidence: 99%

On the Coulomb effect in laser-assisted proton scattering by a stationary atomic nucleus

et al. 2017

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“…The result obtained shows that differential cross sections increase, significantly, by the introduction of this effect. The work [18] deals with the effect of the anomalous magnetic moment of the electron and positron on the laser-assisted inelastic collision of hydrogen atom by electron (positron) impact; we have found that the differential cross section for electron and positron increases with the introduction of the AMM effect. It has also been shown in [18] that, by taking account of AMM effect and especially at high intensities of laser field, the differential cross section for the positron is several orders of magnitude higher than the differential cross section for electron.…”

Section: Introductionmentioning

confidence: 98%

Coulomb and anomalous magnetic moment effects on laser-assisted electron scattering by atomic nucleus

et al. 2021

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In the framework of the first Born approximation, we investigate, in the presence of a circularly polarized electromagnetic laser field, the double effect of Coulomb and anomalous magnetic moment (AMM) on the scattering of electron by a fixed atomic nucleus. In this approximation, the initial and final states of the electron are described by the relativistic Coulomb Dirac-Volkov wave functions with AMM effect. For convenience, we choose the origin of the Laboratory coordinate system at the centre of the fixed nucleus presenting a classical Coulomb potential. Both AMM and Coulomb effects on the incident and scattered electrons have affected the relativistic differential cross section. At high energies of the incident electron, our explored numerical results give the predominance of the AMM effect over that of Coulomb. The behavior of the differential cross section, as a function of the electric field strength as well as the laser frequency, is presented.

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“…Due to its importance in different field of physics, laser-matter interactions has been an active area of both theoretical [2,3] and experimental [4,5] research. In addition, laser-assisted processes have drawn considerable attention in atomic physics [6][7][8][9][10][11], and recently in high energy physics [12][13][14][15][16][17][18][19][20][21][22]. Di Piazza et al were the first pioneers that studied some laser-boosted particle with respect to the incident e + e − beam.…”

Section: Introductionmentioning

confidence: 99%

Effect of the laser beam geometry on laser-assisted muon pair production process at e+e− collider

Ouali¹,

Ouhammou²,

Taj³

et al. 2022

Laser Phys.

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In this research paper, we have investigated the process of muon pair production in high energy e + e − collisions via the exchange of γ and Z-bosons in the presence of the laser field for different directions. Analytical calculations of the cross-section are done within the scattering matrix approach by using the Dirac-Volkov states for electron and positron. The numerical computation of the cross-section shows that it behaves differently by changing the laser wave direction. For a laser field propagating in parallel with the incident beam, the cross-section is strongly affected from low intensities. In addition, for a given laser field strength and frequency, the required number of photons to be transferred increases by increasing the centre of mass energy. Therefore, the acceleration gradient provided by a collinear laser field further enhances the centre of mass energy.

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Relativistic elastic scattering of hydrogen atoms by positron impact with anomalous magnetic moment effects

Cited by 5 publications

References 17 publications

On the Coulomb effect in laser-assisted proton scattering by a stationary atomic nucleus

On the Coulomb effect in laser-assisted proton scattering by a stationary atomic nucleus

Coulomb and anomalous magnetic moment effects on laser-assisted electron scattering by atomic nucleus

Effect of the laser beam geometry on laser-assisted muon pair production process at e+e− collider

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