Resonant parametric interference effect in spontaneous bremsstrahlung of an electron in the field of a nucleus and two pulsed laser waves

Lebed, A. A.; Padusenko, E. A.; Roshchupkin, S. P.; Dubov, Victor V.

doi:10.1103/physreva.97.043404

Cited by 20 publications

(13 citation statements)

References 39 publications

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“…The research analyzes the equation (43) for the real roots within the interval 0 < x ′ (b)res < 1. The subsequent derivations indicate that the solutions of (43) essentially depend of the magnitudes of the parameters ε i and δ ′ 2 f .…”

Section: The Poles Of the Rsb Amplitudementioning

confidence: 99%

Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a weak electromagnetic wave

Dubov

Roshchupkin

2020

Laser Phys. Lett.

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The actual theoretical research investigates the resonant spontaneous bremsstrahlung (RSB) of ultrarelativistic electrons under the condition of scattering on a nucleus in the field of a weak electromagnetic wave. The progression of the functional mechanism indicates the transformation of the intermediate virtual electron into the real particle state. As a result, the initial second order process with accordance to the fine structure constant in the light field productively splits into two consequent first order formations: the laser-stimulated Compton effect and the laser-assisted scattering of an electron on a nucleus. Precise examination specifies the resonant kinematics of the RSB system that designate the phenomenon of the initial and final electrons with addendum of spontaneous high-energy photon propagation in the narrow angle cone. Furthermore, it is important to emphasize that the resonance escalation possesses a possibility to develop within two reaction channels. Thus, the first channel delineates the occurrence that correlates to the spontaneous photon emission by an electron (laser-stimulated Compton interaction) with subsequent scattering on a nucleus (laser-assisted Mott procedure). The second channel illustrates the configuration corresponding to the electron scattering on a nucleus with consecutive spontaneous photon emission in the wave field. Therefore, with implementation of the equivalent elementary criteria the value of the resonant frequency for the first channel perpetually represents a deteriorative counterpart to the second alternative. Moreover, the spontaneous photon radiation angle allocates a single-valued dependency with the resonant frequency for the first channel in contrast to the second displacement that categorizes a composite area with three various resonant frequency magnitudes for the particular emission angle diapason. The project data analysis proposes that the reaction channels do not interfere within the whole range of observation with a specific evaluation for the particles propagation at zero scattering angle. As a result of the investigation the calculations determine the scattering differential cross-section of the resonant construct development. To summarize, the particular cross-section within the resonant ambience significantly exceeds the according cross-section in the approximation of an external field absence. In conclusion, numerous scientific facilities with specialization in pulsed laser radiation (SLAC, FAIR, XFEL, ELI, XCELS) may experimentally validate the computational estimations.

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Section: The Poles Of the Rsb Amplitudementioning

confidence: 99%

Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a weak electromagnetic wave

Dubov

Roshchupkin

2020

Laser Phys. Lett.

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“…The study calculates the real roots of the equation ( 45) within the interval 0 < x ′ f (r) < 1. The article [47] scrutinized the expressions (43) and (45) for the first resonance appearance (r = 1). The statement (45) has a single real root when the parameter value δ ′2 f = 0 and it corresponds to the scheme when photon radiates along the direction of the momentum of the final electron.…”

Section: The Poles Of the Sb Amplitudementioning

confidence: 99%

“…The resonant ambience indicates a fundamentally contrasting situation. Within the resonant conditions two statements determine the energies of a spontaneous photon and final electron: the energy conservation law and the resonant equation (see (43) or (45)). In addition, the angles of emission of a spontaneous photon in correlation to the momenta of the initial or final electrons define the possible energy spectrum of particles for channels A or B for various resonances.…”

Section: The Poles Of the Sb Amplitudementioning

confidence: 99%

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Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a pulsed light wave

Roshchupkin,

Dubov,

Dubov

2020

Preprint

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The actual theoretical research investigates the resonant high-energy spontaneous bremsstrahlung of ultrarelativistic electrons with considerable energies Ei 10 2 GeV in the field of a nucleus and a quasimonochromatic laser wave with intensity I 10 16 ÷10 17 W/cm 2 . Under the resonant conditions within the laser field the intermediate virtual electron transforms into the real particle. Therefore, the initial second-order process with accordance to the fine structure constant effectively splits into two consequent first-order phenomena: the laser-stimulated Compton-effect and laser fieldassisted scattering of an electron on a nucleus. As a result, the accomplished analysis defines that the polar emission angle characterizes the frequency of a spontaneous photon. The study derives the expressions for the resonant differential cross-sections of the represented processes that realize simultaneous registration of the frequency and radiation angle in correlation to the momentum of the initial electron (for the channel A) and of the final electron (for the channel B) of the spontaneous photon with absorption of r wave photons (r = 1, 2, 3, ... -the number of a resonance). Additionally, the distribution of the resonant differential cross-section as a function of the angle of the spontaneous photon emission for the higher numbers of resonance (r = 2, 3, ...) delineates a dependency with a sharp peak maximum that coordinates to the particle radiation at the most probable frequency. To summarize, the accomplished work represents that the resonant differential cross-section acquires considerable magnitude. Thus, for the first resonance of the channel A the resonant differential cross-section attains the ∼ 10 12 order of a magnitude, and for the third resonance of the channel B ∼ 10 5 order of a magnitude (in the units of αZ 2 r 2 e ). Finally, numerous scientific facilities with specialization in pulsed laser radiation (SLAC, FAIR, XFEL, ELI, XCELS) may experimentally verify the constructed model calculations.

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“…This effect demonstrates itself in the scattering processes of high-energy electron beams, where electrons velocities are relativistic. The investigation of the process of the resonant spontaneous bremsstrahlung of ultrarelativistic electrons in the fields of a nucleus and a weak quasimonochromatic electromagnetic wave was done in [21,22]. There is a coherent scattering process of photons with inelastic interaction with ultrarelativistics electrons.…”

Section: Introductionmentioning

confidence: 99%

Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Orlenko

2020

Symmetry

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A non-Anderson weak localization of an electron beam scattered from disordered matter is considered with respect to the principle of electron indistinguishability. A weak localization of electrons of a new type is essentially associated with inelastic processing. The origin of inelasticity is not essential. We take into account the identity principle for electron beam and electrons of the atom of the scatterer with an open shell. In spite of isotropic scattering by each individual scatterer, the electron exchange contribution has a hidden parameters effect on the resulting angular dependence of the scattering cross-section. In this case, the electrons of the open shell of an atomic scatterer can be in the s-state, that is, the atomic shell remains spherically symmetric. The methods of an invariant time-dependent exchange perturbation theory and a Green functions with exchange were applied. An additional angular dependence of the scattering cross-section appears during the coherent scattering process. It is shown exactly for the helium scatterer that the role of exchange effects in the case of a singlet is negligible, while for the triplet state, it is decisive, especially for those values of the energy of incident electrons when de Broglie’s waves are commensurate with the atomic.

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Resonant parametric interference effect in spontaneous bremsstrahlung of an electron in the field of a nucleus and two pulsed laser waves

Cited by 20 publications

References 39 publications

Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a weak electromagnetic wave

Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a weak electromagnetic wave

Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a pulsed light wave

Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

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