Polarization correlations in the elastic Rayleigh scattering of photons by hydrogenlike ions

Surzhykov, A.; Yerokhin, V. A.; Jahrsetz, T.; Amaro, Pedro; Stöhlker, Th.; Fritzsche, S.

doi:10.1103/physreva.88.062515

Cited by 20 publications

(22 citation statements)

References 41 publications

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“…These have been performed within a Furry picture where the electron-nucleus and (partially) electron-electron interactions are included in the unperturbed Hamiltonian and the coupling to the radiation field is treated perturbatively. In such an approach, all the properties of the Rayleigh scattering can be traced back to the evaluation of the second-order amplitudes [1,17,45,46,57]. This requires a summation over the complete spectrum of the target atom, including not only bound, but also positive and negative energy continuum-states.…”

Section: Resultsmentioning

confidence: 99%

“…Recent theoretical investigations of elastic scattering focus on the effects of photon polarization [30,31,46,47,57,58]. For all basic photon-matter processes, the features of polarization transfer from the incident to the outgoing beam are of particular importance as they enable tests of theory methods that are more stringent than measuring just total or differential interaction cross sections.…”

Section: Introductionmentioning

confidence: 99%

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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: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Polarization transfer in Rayleigh scattering of hard x-rays

et al. 2016

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“…= 2 sin ϕ cos ϕ cos ϑ sin 2 ϕ + cos 2 ϕ cos 2 ϑ . (26) These expressions can be also found in [6,43,44].…”

Section: Nonrelativistic Resonant Electric Dipole Approximationmentioning

confidence: 72%

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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“…for the first photon, while the energy of the second photon is fixed of course due to energy conservation. Expression (1) of the transition amplitude is quite standard for second-order perturbation theory and appears similarly also in studying two-photon excitation and ionization processes [24], or even the Rayleigh scattering of high-energetic photons at heavy target materials [28][29][30]. The main differences in calculating the various-energy-differential and total-two-photon transition rates and cross sections typically arise from the different representation of the atomic bound states as well as the particular procedure in dealing with the Figure 1.…”

Section: Theory and Computationsmentioning

confidence: 99%

Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions

2015

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The E1M1 transition rate of the s p P s S 2 2 2 3 0 2 1 0  line in beryllium-like ions has been calculated within the framework of relativistic second-order perturbation theory. Both multiconfiguration and quantum-electrodynamical computations have been carried out independently to better understand and test for all major electron-electron correlation contributions in the representation of the initial, intermediate and final states. By comparing the results from these methods, which agree well for all ions along the beryllium isoelectronic sequence, the lifetime of the metastable 2s2p 3 P 0 level is found to be longer by about 2-3 orders of magnitude for all medium and heavy elements than was estimated previously. This makes the 3 P 0 level of beryllium-like ions to one of the longest living (low-lying) electronic excitations of a tightly bound system with potential applications for atomic clocks and in astro physics and plasma physics.

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Polarization correlations in the elastic Rayleigh scattering of photons by hydrogenlike ions

Cited by 20 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

Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions

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Polarization correlations in the elastic Rayleigh scattering of photons by hydrogenlike ions

Cited by 20 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

Relativistically prolonged lifetime of the 2s2p3P0level of zero nuclear-spin beryllium-like ions

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Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions