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

Abstract

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.

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

“…It has been shown from these figures that, especially at high energies, the effect of the Coulomb interaction on the differential cross sections is less important. Consequently, the modifications due to the Coulomb field are negligible and the first Born approximation (BA) gives satisfactory results which is in good agreement with [20,21]. Figures 3 and 4 display the differential cross sections with and without AMM as a function of the final angle h f , for an electric field strength ¼ 0:5 a.u.…”

“…In the first Born approximation and for high frequencies, the incorporation of the Coulomb interaction leads to a qualitative improvement of the differential cross section. In our recent work [21], we have studied the Coulomb effect on the scattering of a proton by a fixed atomic nucleus in the presence of a circularly polarized laser field, the main result obtained is that, by introducing the Coulomb interaction, the differential cross section is more affected at low energies and there will be no effects at all on the DCSs when reaching high energies of the incident proton. As a conclusion from this study, Dirac-Volkov states are sufficient to describe fermionic Dirac-particles at very high energies.…”

Relativistic electron scattering from freely movable proton/ μ + in the presence of strong laser field*

“…[27] There have also been some studies using Coulomb effects in atomic scattering theory, which are interesting because of the wide range of electrostatic interactions in plasma physics. Hrour et al [28] gave the scattering of proton by Coulomb potential in circularly polarized laser field considering the distortion of the Coulomb effect. Du [29] and Lebed et al [36] studied the interaction between the electron and the nuclear field when the laser polarization deviates from the incident direction in the first Born approximation.…”

Analysis of the geometric effect on laser-assisted decay processes

“…The ultrafast processes that occur in the presence of the laser field are varied, depending on the adopted framework of study. In atomic physics, many atomic processes have been studied in the presence of an electromagnetic field, both in relativistic and non-relativistic regimes [3][4][5][6][7][8][9]. In the framework of quantum electrodynamics and electroweak theory, many articles have been devoted to the investigation of scattering [10][11][12][13][14] and decay [15][16][17][18] processes in the presence of an electromagnetic field.…”