Many-electron effects on x-ray Rayleigh scattering by highly charged He-like ions

Volotka, A. V.; Yerokhin, V. A.; Surzhykov, A.; Stöhlker, Th.; Fritzsche, S.

doi:10.1103/physreva.93.023418

Cited by 22 publications

(22 citation statements)

References 41 publications

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“…In order to investigate the many-body effects beyond the IPA, we have recently applied the rigorous quantum electrodynamics approach. Based on this approach we have shown that the electron-electron interaction effects do not exceed 3%−4% for both the angular distribution and the linear polarization of the scattered photons [64]. In the angular region of the present experiment ( 65  q ) we do not expect significant effects which arise from the solid state of the scattering target (compared to the scenario of an isolated atom which is assumed in the theory discussed above).…”

Section: Resultssupporting

confidence: 48%

Polarization transfer in Rayleigh scattering of hard x-rays

et al. 2016

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The following errors were introduced in the production process:• In the abstract it says that at θ=90°, a degree of polarization of +0.27%±0.12% was measured. This number should be +27%±12%.• On page 5 there are three occurrences of an amplitude A. All of them should be A P instead. AbstractWe report on the first elastic hard x-ray scattering experiment where the linear polarization characteristics of both the incident and the scattered radiation were observed. Rayleigh scattering was investigated in a relativistic regime by using a high-Z target material, namely gold, and a photon energy of 175keV. Although the incident synchrotron radiation was nearly 100% linearly polarized, at a scattering angle of 90 q =  we observed a strong depolarization for the scattered photons with a degree of linear polarization of 0.27% 0.12% +  only. This finding agrees with second-order quantum electrodynamics calculations of Rayleigh scattering, when taking into account a small polarization impurity of the incident photon beam which was determined to be close to 98%. The latter value was obtained independently from the elastic scattering by analyzing photons that were Compton-scattered in the target. Moreover, our results indicate that when relying on state-of-the-art theory, Rayleigh scattering could provide a very accurate method to diagnose polarization impurities in a broad region of hard x-ray energies.

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Section: Resultssupporting

confidence: 48%

Polarization transfer in Rayleigh scattering of hard x-rays

et al. 2016

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“…That means that the electron-nucleus interaction is incorporated in the unperturbed Hamiltonian of the system and the ion-photon interaction is considered as perturbation. For the determination of the properties of the scattered light, we then evaluate the second-order scattering operatorM, the matrix elements of which are defined as (in units h = m e = c = 1) [11,27]:…”

Section: General Theory Of Transition Matrix Amplitudementioning

confidence: 99%

“…Within the class of piecewise polynomials, B-splines (for details, see [34]) are especially well suited for atomic physics numerical tasks [35,37], and that is why they are used here as well. In the works [11,38], the B-splines basis set was also employed for the calculation of the Rayleigh scattering.…”

Section: Exact Calculationsmentioning

confidence: 99%

“…Rayleigh scattering is an important and widely studied process in atomic physics. Being one of the basic second-order processes of QED, Rayleigh scattering is extensively studied theoretically [3][4][5][6][7][8][9][10][11], as well as experimentally [12][13][14]. Apart from the fundamental interest, Rayleigh scattering is actively utilized in various fields, including the study of the solid-state, complex molecules, or nano-objects [15][16][17][18], astrophysics [19,20], as well as in medical diagnostics [21].In this work, we investigate the angular distribution of two observables: cross-section and polarization of the scattered light.…”

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confidence: 99%

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Elastic Photon Scattering on Hydrogenic Atoms near Resonances

Samoilenko

Volotka

Fritzsche

2020

Atoms

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Scattering of light on relativistic heavy ion beams is widely used for characterizing and tuning the properties of both the light and the ion beam. Its elastic component—Rayleigh scattering—is investigated in this work for photon energies close to certain electronic transitions because of its potential usage in the Gamma Factory initiative at CERN. The angle-differential cross-section, as well as the degree of polarization of the scattered light are investigated for the cases of 1 s − 2 p 1 / 2 and 1 s − 2 p 3 / 2 resonance transitions in H-like lead ions. In order to gauge the validity and uncertainty of frequently used approximations, we compare different methods. In particular, rigorous quantum electrodynamics calculations are compared with the resonant electric-dipole approximation evaluated within the relativistic and nonrelativistic formalisms. For better understanding of the origin of the approximation, the commonly used theoretical approach is explained here in detail. We find that in most cases, the nonrelativistic resonant electric-dipole approximation fails to describe the properties of the scattered light. At the same time, its relativistic variant agrees with the rigorous treatment within a level of 10% to 20%. These findings are essential for the design of an experimental setup exploiting the scattering process, as well as for the determination of the scattered light properties.

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“…Various non-linear (second- as well as higher-order perturbation) processes have been observed during the past years but could often not be calculated in good detail for many ions, atoms or molecules of interest. Well-known second-order processes of this sort include, for instance, the multi-photon absorption and emission [ 1 , 2 , 3 ], the resonant [ 4 ] and two-photon ionization [ 5 , 6 ], the radiative and double Auger emission of atoms [ 7 , 8 ] and molecules [ 9 ], their (single-photon) double ionization [ 10 , 11 , 12 ] or the Rayleigh and Raman scattering of light [ 13 , 14 , 15 ], to name just a few. Until the present, however, most of these processes are not yet (well) understood quantitatively since, in perturbation theory, each additional order (beyond the first-order) typically requires an implicit summation (integration) over the full spectrum of the system.…”

Section: Introductionmentioning

confidence: 99%

Approximate Atomic Green Functions

Fritzsche

Surzhykov

2021

Molecules

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In atomic and many-particle physics, Green functions often occur as propagators to formally represent the (integration over the) complete spectrum of the underlying Hamiltonian. However, while these functions are very crucial to describing many second- and higher-order perturbation processes, they have hardly been considered and classified for complex atoms. Here, we show how relativistic (many-electron) Green functions can be approximated and systematically improved for few- and many-electron atoms and ions. The representation of these functions is based on classes of virtual excitations, or so-called excitation schemes, with regard to given bound-state reference configurations, and by applying a multi-configuration Dirac-Hartree-Fock expansion of all atomic states involved. A first implementation of these approximate Green functions has been realized in the framework of Jac, the Jena Atomic Calculator, and will facilitate the study of various multi-photon and/or multiple electron (emission) processes.

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Many-electron effects on x-ray Rayleigh scattering by highly charged He-like ions

Cited by 22 publications

References 41 publications

Polarization transfer in Rayleigh scattering of hard x-rays

Polarization transfer in Rayleigh scattering of hard x-rays

Elastic Photon Scattering on Hydrogenic Atoms near Resonances

Approximate Atomic Green Functions

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