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Radiative recombination of highly charged ions with polarized electrons
Phys. Rev. A 107, 042814 – Published 21 April, 2023
DOI: https://doi.org/10.1103/PhysRevA.107.042814
Abstract
We present a theoretical study of the radiative recombination (RR) of heavy highly charged ions with arbitrary (longitudinally and transversely) polarized electrons. In order to investigate how the spin state of incident electrons affects the linear polarization of emitted photons, we apply the density matrix theory and solutions of the relativistic Dirac equation. Explicit analytical expressions are obtained for the dependencies of the differential cross section and the polarization Stokes parameters of RR photons on the components of the incident electrons polarization vector. Detailed calculations of the degree of linear polarization and the tilt angle that characterizes the orientation of the polarization axis are carried out for radiative recombination with bare and ions for different polarization states of the incoming electrons. Based on the results of these calculations, we argue that the linear polarization of RR photons is very sensitive to the spin state of an electron target, and this sensitivity can be easily observed with the help of modern Compton polarization detectors.
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References (28)
- A. Surzhykov, S. Fritzsche, Th. Stöhlker, and S. Tachenov, Polarization studies on the radiative recombination of highly charged bare ions, Phys. Rev. A 68, 022710 (2003).
- A. E. Klasnikov, V. M. Shabaev, A. N. Artemyev, A. V. Kovtun, and Th. Stöhlker, Polarization effects in radiative recombination of an electron with a highly charged ion, Nucl. Instrum. Meth. Phys. Res. Sect. B 235, 284 (2005).
- A. V. Maiorova, O. I. Pavlova, V. M. Shabaev, C. Kozhuharov, G. Plunien, and Th. Stöhlker, Parity nonconservation in the radiative recombination of electrons with heavy hydrogen-like ions, J. Phys. B: At. Mol. Opt. Phys. 42, 205002 (2009).
- D. Budker, J. R. C. López-Urrutia, A. Derevianko, V. V. Flambaum, M. W. Krasny, A. Petrenko, S. Pustelny, A. Surzhykov, V. A. Yerokhin, and M. Zolotorev, Atomic physics studies at the Gamma Factory at CERN, Ann. Phys. 532, 2000204 (2020).
- A. V. Maiorova, A. Surzhykov, S. Tashenov, V. M. Shabaev, and Th. Stöhlker, Production and diagnostics of spin-polarized heavy ions in sequential two-electron radiative recombination, Phys. Rev. A 86, 032701 (2012).
- A. Bondarevskaya, E. A. Mistonova, K. N. Lyashchenko, O. Yu. Andreev, A. Surzhykov, L. N. Labzowsky, G. Plunien, D. Liesen, F. Bosch, and Th. Stöhlker, Method for the production of highly charged ions with polarized nuclei and zero total electron angular momentum, Phys. Rev. A 90, 064701 (2014).
- A. Ichihara and J. Eichler, Cross sections for radiative recombination and the photoelectric effect in the K, L, and M shells of one-electron systems with calculated within an exact relativistic description, At. Data Nucl. Data Tables 74, 1 (2000).
- A. E. Klasnikov, A. N. Artemyev, T. Beier, J. Eichler, V. M. Shabaev, and V. A. Yerokhin, Spin-flip process in radiative recombination of an electron with H- and Li-like uranium, Phys. Rev. A 66, 042711 (2002).
- M. Mikirtychyants, R. Engels, K. Grigoryev, H. Kleines, P. Kravtsov, S. Lorenz, M. Nekipelov, V. Nelyubin, F. Rathmann, J. Sarkadi, H. Paetz gen. Schieck, H. Seyfarth, E. Steffens, H. Ströher, and A. Vasilyev, The polarized H and D atomic beam source for ANKE at COSY-Jülich, Nucl. Instrum. Meth. Phys. Res. Sect. A 721, 83 (2013).
- R. Engels, R. Emmerich, J. Ley, G. Tenckhoff, H. Paetz gen. Schieck, M. Mikirtytchiants, F. Rathmann, H. Seyfarth, and A. Vassiliev, Precision Lamb-shift polarimeter for polarized atomic and ion beams, Rev. Sci. Instrum. 74, 4607 (2003).
- S. Tashenov, Th. Stöhlker, D. Banaś, K. Beckert, P. Beller, H. F. Beyer, F. Bosch, S. Fritzsche, A. Gumberidze, S. Hagmann, C. Kozhuharov, T. Krings, D. Liesen, F. Nolden, D. Protic, D. Sierpowski, U. Spillmann, M. Steck, and A. Surzhykov, First Measurement of the Linear Polarization of Radiative Electron Capture Transitions, Phys. Rev. Lett. 97, 223202 (2006).
- U. Spillmann, H. Bräuning, S. Hess, H. Beyer, Th. Stöhlker, J.-Cl. Dousse, D. Protic, and T. Krings, Performance of a Ge-microstrip imaging detector and polarimeter, Rev. Sci. Instrum. 79, 083101 (2008).
- M. Vockert, G. Weber, U. Spillmann, T. Krings, M. Herdrich, and Th. Stöhlker, Commissioning of a Si(Li) Compton polarimeter with improved energy resolution, Nucl. Instrum. Meth. Phys. Res. Sect. B 408, 313 (2017).
- V. A. Yerokhin and A. Surzhykov, Electron-atom bremsstrahlung: Double-differential cross section and polarization correlations, Phys. Rev. A 82, 062702 (2010).
- U. Fano, High-frequency limit of bremsstrahlung in the Sauter approximation, Phys. Rev. 116, 1156 (1959).
- C. M. Lee and R. H. Pratt, Radiative capture of high-energy electrons, Phys. Rev. A 12, 1825 (1975).
- I. J. Feng, I. B. Goldberg, Y. S. Kim, and R. H. Pratt, Connection between the bremsstrahlung tip and direct radiative recombination: Angular distributions and polarization correlations, Phys. Rev. A 28, 609 (1983).
- D. H. Jakubassa-Amundsen, Electronheavy-nucleus bremss- trahlung at highly relativistic impact energies, Phys. Rev. A 82, 042714 (2010).
- R. Märtin, G. Weber, R. Barday, Y. Fritzsche, U. Spillmann, W. Chen, R. D. DuBois, J. Enders, M. Hegewald, S. Hess, A. Surzhykov, D. B. Thorn, S. Trotsenko, M. Wagner, D. F. A. Winters, V. A. Yerokhin, and T. Stöhlker, Polarization Transfer of Bremsstrahlung Arising from Spin-Polarized Electrons, Phys. Rev. Lett. 108, 264801 (2012).
- V. V. Balashov, A. N. Grum-Grzhimailo, and N. M. Kabachnik, Polarization and Correlation Phenomena in Atomic Collisions (Kluwer Academic/Plenum, New York, 2000).
- J. Eichler and W. Meyerhof, Relativistic Atomic Collisions (Academic Press, New York, 1995).
- J. Eichler and Th. Stöhlker, Radiative electron capture in relativistic ion–atom collisions and the photoelectric effect in hydrogen-like high-Z systems, Phys. Rep. 439, 1 (2007).
- V. M. Shabaev, Two-time Green's function method in quantum electrodynamics of high-z few-electron atoms, Phys. Rep. 356, 119 (2002).
- V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory (Pergamon Press, Oxford, 1971).
- S. Fritzsche, A. Surzhykov, and Th. Stöhlker, Dominance of the Breit Interaction in the X-Ray Emission of Highly Charged Ions Following Dielectronic Recombination, Phys. Rev. Lett. 103, 113001 (2009).
- K. Blum, Density Matrix Theory and Applications, 3rd ed., Springer Series on Atomic Optical and Plasma Physics (Springer, Berlin, 2012).
- A. N. Artemyev, A. Surzhykov, S. Fritzsche, B. Najjari, and A. B. Voitkiv, Target effects on the linear polarization of photons emitted in radiative electron capture by heavy ions, Phys. Rev. A 82, 022716 (2010).
- M. Vockert, G. Weber, H. Bräuning, A. Surzhykov, C. Brandau, S. Fritzsche, S. Geyer, S. Hagmann, S. Hess, C. Kozhuharov, R. Märtin, N. Petridis, R. Hess, S. Trotsenko, Y. A. Litvinov, J. Glorius, A. Gumberidze, M. Steck, S. Litvinov, T. Gaßner et al., Radiative electron capture as a tunable source of highly linearly polarized x rays, Phys. Rev. A 99, 052702 (2019).