Polarization of Photons Scattered by Ultra-Relativistic Ion Beams

authored by: Andrey Volotka, Dmitrii Samoilenko, Stephan Fritzsche, Valeriy G. Serbo, Andrey Surzhykov
Abstract: A theoretical investigation of the elastic resonant scattering of photons by ultra–relativistic and partially stripped ions is presented. Particular attention in the study is given to the angular distribution and polarization of scattered photons as “seen” in both the ion-rest and laboratory reference frames. In order to evaluate these angular and polarization properties, the irreducible polarization tensor approach is combined with the density matrix theory. If, furthermore, the ion–photon coupling is treated within the electric dipole approximation, this framework enables one to obtain simple analytical expressions for both the emission pattern and the polarization Stokes parameters of the outgoing radiation. These (analytical) expressions for the (Formula presented.), (Formula presented.), and (Formula presented.) transitions are displayed and analyzed, that are of interest for the Gamma Factory project and whose realization is currently under discussion at CERN. Based on the performed analysis, it is demonstrated that the resonantly scattered photons can be strongly (linearly or circularly) polarized, and that this polarization can be well controlled by adjusting either the emission angle and/or the polarization state of the incident radiation. Moreover, the potential of the photon scattering for measuring the spin-polarization of ion beams is also discussed in detail.
External Organisation(s): St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)
Universität Hamburg
Helmholtz Institute Jena
Friedrich Schiller University Jena
Novosibirsk State University
RAS - Sobolev Institute of Mathematics of SB
Physikalisch-Technische Bundesanstalt PTB
Technische Universität Braunschweig
Laboratory for Emerging Nanometrology Braunschweig (LENA)
Type: Article
Journal: Annalen der Physik
Volume: 534
ISSN: 0003-3804
Publication date: 08.03.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Physics and Astronomy
Electronic version(s): https://doi.org/10.1002/andp.202100252 (Access: Closed)

BibTeX

@article{1c8756f8addc40bcb9b63e9c426ebd96,
title = "Polarization of Photons Scattered by Ultra-Relativistic Ion Beams",
abstract = "A theoretical investigation of the elastic resonant scattering of photons by ultra–relativistic and partially stripped ions is presented. Particular attention in the study is given to the angular distribution and polarization of scattered photons as “seen” in both the ion-rest and laboratory reference frames. In order to evaluate these angular and polarization properties, the irreducible polarization tensor approach is combined with the density matrix theory. If, furthermore, the ion–photon coupling is treated within the electric dipole approximation, this framework enables one to obtain simple analytical expressions for both the emission pattern and the polarization Stokes parameters of the outgoing radiation. These (analytical) expressions for the (Formula presented.), (Formula presented.), and (Formula presented.) transitions are displayed and analyzed, that are of interest for the Gamma Factory project and whose realization is currently under discussion at CERN. Based on the performed analysis, it is demonstrated that the resonantly scattered photons can be strongly (linearly or circularly) polarized, and that this polarization can be well controlled by adjusting either the emission angle and/or the polarization state of the incident radiation. Moreover, the potential of the photon scattering for measuring the spin-polarization of ion beams is also discussed in detail.",
author = "Andrey Volotka and Dmitrii Samoilenko and Stephan Fritzsche and Serbo, {Valeriy G.} and Andrey Surzhykov",
note = "Funding information: The theoretical investigations presented in Section 2 were supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC?2123, QuantumFrontiers 390837967, and Project No. 445408588. The calculations for particular examples in Sections 3.1 – 3.3 were funded by the Ministry of Science and Education of the Russian Federation (Project No. 075?15?2021?1349) and by the Government of the Russian Federation through the ITMO Fellowship and Professorship Program and in Section 3.4 by the Russian Science Foundation (Project No. 21?42?04412).",
year = "2022",
month = mar,
day = "8",
doi = "10.1002/andp.202100252",
language = "English",
volume = "534",
journal = "Annalen der Physik",
issn = "0003-3804",
publisher = "Wiley-Blackwell",
number = "3",
}