The light amplification effect in the Coulomb scattering of nonrelativistic electrons in a two-mode laser field

Roshchupkin, S. P.; Tsybul'nik, V. A.

doi:10.1002/lapl.200610016

Cited by 40 publications

(61 citation statements)

References 12 publications

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“…Based on the theory of Refs. [11,12], Szymanowski et al [13,14] investigated the spin effect in the relativistic potential scattering in the presence of a circularly polarized field, however, as they stated, the resulting expression for circularly polarized field turned out to be more tractable than for the general case of elliptical or linear polarizations, and then Li et al for the case of linearly polarized field [15] and Attaourti et al for the cases of circularly and elliptically polarized fields [16]. Manaut et al investigated the case of polarized electrons [17].…”

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confidence: 99%

Relativistic electron scattering from a freely movable proton in a strong laser field

Liu

2014

Phys. Rev. A

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We study the electron scattering from the freely movable spin-5 proton in the presence of a linearly polarized laser field in the first Born approximation. The dressed state of the electron is described by a time-dependent wave function derived from a perturbation treatment (in a laser field). With the aid of numerical results we explore the dependencies of the differential cross section (DCS) on the electron-impact energy. Due to the mobility of the target, the DCS of this process is modified compared to the Mott scattering, especially in large scattering angles. PACS number(s): 34.80.Qb, 34.80.Dp Physics related to the radiative processes experienced by free electrons inside a strong electrom agnetic field w ere studied since the advent o f laser sources in the early 1960s [1,2]. An overview on this field can be found in the textbooks by Faisal [3], M ittlem an [4], Fedorov [5], and som e other recent papers [6-8]. M ost o f these studies are carried out in the regim e o f nonrelativistic collisions and for low-or m oderate-field intensities. There are also som e studies that have been carried out to investigate theoretically the relativistic potential. In the presence o f ultrastrong lasers, a relativistic treatm ent becom es im perative (even for slow electrons). In the treatm ents o f Refs. [9-11], effects related to the electron spin have been neglected, and the electron has been considered as a K lein-G ordon particle. Based on the theory of Refs. [12,13], Szym anow ski e ta l. [14] and Szym anow ski and M aquet [15] investigated the spin effect in the relativistic potential scattering in the presence o f a circularly polarized field. However, as they stated, the resulting expression for the circularly polarized field turned out to be m ore tractable than for the general case o f elliptical or linear polarizations, and then Li et al. studied the case o f a linearly polarized field [16], A ttaourti et al. studied the cases o f circularly and elliptically polarized fields [17], and M anaut et al. investigated the case o f polarized electrons [18]. The present B rief Report addresses the problem o f an electron scattering off the freely m ovable target in the presence o f a m onochrom atic linearly polarized hom ogeneous laser field. The aim o f this B rief R eport is to add som e physical insight and to show the m odification o f a differential cross section (DCS) due to the m ovable target and com pare it to the case o f M ott scattering. We investigate, to be specific, the recoil effect in relativistic scattering o f an electron from a freely m ovable proton. A DCS is derived by the trace procedure with the aid o f FEYNCALC [19] and M athem atica, and a sim plified form is given for specific cases. U nless specifically stated, atom ic units h = m = e = 1 are used throughout, and the m etric tensor is g^ = diag(l,-1,-1,-1).In the regim e o f laser field intensity as considered in this B rief Report, the field can be treated as classically, w hich does not allow pair creation [20], its four-potential that sa...

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confidence: 99%

Relativistic electron scattering from a freely movable proton in a strong laser field

Liu

2014

Phys. Rev. A

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“…The further magnification of the field intensity resulting to a sharp breakaway of the function G max into interval of the negative values (for the strong-field the radiation absorption takes place only [7][8][9][18][19][20]). It is significant that functions G max as compared to values for weak and medial fields for the moderate-strong field it is essentially increased: for circular polarization in 3.5 times (at value γ i =2350), and for linear polarization in 13.2 times (at value γ i =2500).…”

Section: Gain Coefficientmentioning

confidence: 99%

Anomalous amplification of electromagnetic field in the course of the nonrelativistic electron scattering by ion in the moderate-strong light field

Roshchupkin

Tsybul'nik

2009

Laser Phys. Lett.

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The electromagnetic field amplification constant in the scattering of the nonrelativistic electrons by ions in the elliptically polarized light wave is theoretically studied for any intensities for which radiation amplification takes place. The anomalous amplification effect in the moderate-strong electromagnetic field is predicted. This effect results in to increase of the Bunkin-Fedorov quantum parameter up to quantities of order γi ∼ 103. The anomalous amplification effect is exhibited for linear polarization of a wave the most brightly.

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“…The first well-studied processes, both analytically and numerically, was laser-induced Compton scattering [8], followed by Mott scattering of a laserdressed electron by the Coulomb field of an atomic nucleus [9]. Roshchupkin et al developed the theory of the electron scattering on a nucleus in the field of two plane electromagnetic waves [10][11][12][13]. Lebed' et al studied Mott scattering process in the presence of one [14] or two [15] laser pulses.…”

Section: Introductionmentioning

confidence: 99%

Relativistic elastic scattering of an electron by a muon in the field of a circularly polarized electromagnetic wave

Mekaoui,

Jakha,

Mouslih

et al. 2021

Preprint

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Within the framework of quantum electrodynamics, the scattering of an electron by a muon in the presence of a circularly polarized monochromatic laser field is investigated theoretically in the first Born approximation. The expressions for the amplitude and the differential cross section are derived analytically by adopting the Furry picture approach in which the calculations are carried out using exact relativistic Dirac-Volkov functions. We begin by studying the process taking into account the relativistic dressing of only the electron without muon. Then, in order to reveal the effect of the muon dressing, we fully consider the relativistic dressing of the electron and muon together in the initial and final states. As a result, the differential cross section is significantly reduced by the laser field. We find that the effect of laser-dressing of muon becomes noticeable at laser field strengths greater than or equal to 10 9 V cm −1 and therefore must be taken into account. The influence of the laser field strength and frequency on the differential cross section and multiphoton process is revealed. An insightful comparison with the laser-free results is also included.

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The light amplification effect in the Coulomb scattering of nonrelativistic electrons in a two-mode laser field

Cited by 40 publications

References 12 publications

Relativistic electron scattering from a freely movable proton in a strong laser field

Relativistic electron scattering from a freely movable proton in a strong laser field

Anomalous amplification of electromagnetic field in the course of the nonrelativistic electron scattering by ion in the moderate-strong light field

Relativistic elastic scattering of an electron by a muon in the field of a circularly polarized electromagnetic wave

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