Elastic electron scattering in an intense field and two-photon emission

Морозов, Д. А.; Ritus, V. I.

doi:10.1016/0550-3213(75)90448-4

Cited by 59 publications

(71 citation statements)

References 15 publications

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“…This well-known infrared divergence was reported in other calcula tions in double Compton scattering [16,41,42] and should be canceled when self-energy corrections are included [28], It can be shown [40] that the one-step process can be written as a term originating from the interference between two-and one-step parts of the amplitude plus a term origi nating solely from the one-step part of the amplitude. Here, as in electron-seeded pair creation in a constant crossed field, the one-step probability is negative.…”

Section: B One-step Double Compton Scatteringmentioning

confidence: 94%

“…These simulations iterate single vertex processes to approximate higher-order ones and our double-vertex calculation can assess the faithfulness of this approximation. In their calculation of the two-loop electron mass operator in a constant crossed field [28], Morozov and Ritus produced expressions for the total probability of polarized two-photon emission. However, their restriction to total probabilities, brevity of exposition, and emphasis on infrared behavior differ significantly from the intention of the present article to study the role of spin and virtual processes in more depth, which are currently neglected by computational simulations.…”

Section: Introductionmentioning

confidence: 99%

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Double Compton scattering in a constant crossed field

King

2015

Phys. Rev. A

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Two-photon emission of an electron in an electromagnetic plane wave of vanishing frequency is calculated. The unpolarised probability is split into a two-step process, which is shown to be exactly equal to an integration over polarised subprocesses, and a one-step process, which is found to be dominant over the formation length. The assumptions of neglecting spin and simultaneous emission, commonly used in numerical simulations, are discussed in light of these results.Comment: 8 pages, 6 figure

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Section: B One-step Double Compton Scatteringmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Double Compton scattering in a constant crossed field

King

2015

Phys. Rev. A

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“…This assumes that the formation region of the process is much smaller than the field inhomogeneity scale (typically, the wavelength), such that a good approximation is acquired by assuming the background to be "locally constant" [35,36] by using rates for a constant crossed field (CCF). However, a crucial issue to be addressed when going beyond single-vertex processes is the nature of interference between those channels where intermediate states remain on shell and those where they remain virtual, as occurs in electron-seeded pair creation [5,6,37] and double nonlinear Compton scattering [38][39][40][41]. (Reviews of laser-based strong-field QED can be found in Refs.…”

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confidence: 99%

Effect of interference on the trident process in a constant crossed field

King

Fedotov

2018

Phys. Rev. D

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We perform a complete calculation of electron-seeded pair creation (the trident process) in a constant crossed electromagnetic background. Unlike earlier treatments, we include the interference between exchange diagrams. We find that this exchange interference can be written as a contribution solely to the one-step process, and for small quantum nonlinearity parameter is of the same order as other one-step terms. We find that the exchange interference further suppresses the one-step process in this parameter regime. Our findings further support the crucial assumption made in laser-plasma simulation codes that at high intensities, the trident process can be well approximated by the repeated iteration of the single-vertex subprocesses. The applicability of this assumption to higher-vertex processes has fundamental importance to the development of simulation capabilities. DOI: 10.1103/PhysRevD.98.016005 When an electron propagates in an intense electromagnetic (EM) field, there is a finite probability that the radiation it produces will decay into an electron-positron pair. If the EM field is weak, in that the effect is perturbative in the charge-field interaction, it corresponds to the linear Breit-Wheeler process [1], where one photon from the background collides with the photon radiated by the electron to produce a pair. Although important in astrophysical contexts [2,3], this linear process has still to be measured in a terrestrial experiment [4]. If the laser pulse intensity is strong, in that all orders of the charge-field interaction must be included in calculations, the photon decay into a pair corresponds to the nonlinear BreitWheeler process. A quarter of a century after electronseeded pair creation was first calculated theoretically in constant magnetic [5] and crossed [6] backgrounds, the combination of nonlinear Compton scattering followed by the nonlinear Breit-Wheeler process was measured in the landmark E144 experiment performed at the Stanford Linear Accelerator Center (SLAC) [7,8]. The importance of this experiment to the laser strong-field QED community can be understood in light of continued interpretation and analysis of the E144 results in the literature [9][10][11].In addition to also having astrophysical importance, a measurement of electron-seeded pair creation in a terrestrial laser-particle collision would allow the study of nonperturbative quantum field theory. As the intensity of the laser pulse increases, for a fixed frequency and seed particle energy, the process moves from the perturbative, to the multiphoton and finally to a tunneling regime [9], in which dependency on the charge-field coupling takes a nonperturbative form.To aid experimental design and analysis, there is an interest in including electron-seeded pair creation in traditional plasma particle-in-cell (PIC) code, using Monte Carlo techniques. Lowest-order processes such as nonlinear Compton scattering [12,13] and photon-seeded pair creation [14][15][16] are included in various simulation codes [17][18][19] and their ...

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“…1(b)]. The amplitude (1) [23]. At such a resonance, where the matrix element formally diverges, S may be rendered finite by including a small, imaginary correction to the laser-dressed electron mass and energy [28,29], or alternatively be regularized with an external parameter such as the laser pulse length or a finite detector resolution.…”

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confidence: 99%

Nonperturbative Treatment of Double Compton Backscattering in Intense Laser Fields

Lötstedt

Jentschura

2009

Phys. Rev. Lett.

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The emission of a pair of entangled photons by an electron in an intense laser field can be described by two-photon transitions of laser-dressed, relativistic Dirac-Volkov states. In the limit of a small laser field intensity, the two-photon transition amplitude approaches the result predicted by double Compton scattering theory. Multi-exchange processes with the laser field, including a large number of exchanged laser photons, cannot be described without the fully relativistic Dirac-Volkov propagator. The nonperturbative treatment significantly alters theoretical predictions for future experiments of this kind. We quantify the degree of polarization correlation of the photons in the final state by employing the well-established concurrence as a measure of the entanglement.PACS numbers: 12.20. Ds, 34.50.Rk, 32.80.Wr, 03.65.Ud, 13.60.Fz Introduction.-In ordinary Compton scattering [1], a photon is scattered inelastically by an electron. For photons with energy much less than the electron's rest mass, the quantum mechanical expression for the cross section agrees with the one obtained by classical electrodynamics. Nonlinear Compton scattering is encountered when several photons from a strong laser beam are scattered by a free electron to produce a photon of different energy; this process has been calculated theoretically [2,3] and successfully measured [4,5]. Recently, there has been an increased interest in a different nonlinear generalization of Compton scattering where a free electron collides with a laser pulse and emits two photons at the same time. This process has no classical counterpart, and indeed, as we will see, the two photons exhibit a paradigmatic quantum feature: namely, their polarizations are entangled. Properly optimized, two-photon emission from backscattering of laser photons at an electron beam holds the promise of providing entangled light at much larger energy than conventionally used for quantum information purposes [6].With relativistically strong lasers being available in many laboratories worldwide, the current record being a laser intensity of 10 22 W/cm 2 at the focus [7], the quest for observing genuine laser-induced quantum effects in the relativistic regime continues. However, the peak field strengths are still orders of magnitudes below the quantum electrodynamic (QED) critical field E c = −m 2 /e = 10 16 V/cm for pair creation (here m and e = −|e| denote the mass and charge of the electron, respectively, and we use natural relativistic units c = = ǫ 0 = 1). Two-photon emission by a laser-dressed electron via nonperturbative double Compton backscattering is a strong-field, relativistic quantum effect which could be observed without the additional complications connected with the ultra-relativistic particle beams necessary for laser-dressed pair creation [8,9,10].The theory of perturbative double Compton scattering, the reaction in which one photon scatters on an electron to produce two final photons was calculated by Mandl and Skyrme [11], recently reexamined in [12], and exper...

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Elastic electron scattering in an intense field and two-photon emission

Cited by 59 publications

References 15 publications

Double Compton scattering in a constant crossed field

Double Compton scattering in a constant crossed field

Effect of interference on the trident process in a constant crossed field

Nonperturbative Treatment of Double Compton Backscattering in Intense Laser Fields

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