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Effects of Hyperfine Interaction in Atomic Photoionization

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Progress in Photon Science

Part of the book series: Springer Series in Chemical Physics ((CHEMICAL,volume 119))

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Abstract

The chapter is devoted to theoretical consideration of the role of hyperfine interaction in atomic photoionization. The interaction between nuclear spin and an atomic shell considered to give a small correction in a variety of phenomena may have significant effects on polarization and correlation parameters of a process. We outline a theoretical approach based on statistical tensors and density matrices for determination of photoelectron angular distribution in two-colour atomic ionization accounting for their evolution caused by nuclear spin. As a practical example we consider double resonant ionization of Xe through excitation via discrete and Rydberg autoionizing states, as in the first isotope-selective experiment in VUV domain (O’Keeffe et al in Phys Rev Lett 111:243002(1)–243002(5), 2013 [44]). Variations in the angular pattern for the different isotopes and light polarization are shown. The possibility to determine the hyperfine constant is discussed.

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Notes

  1. 1.

    Atomic units are used hereafter \(\hbar =e=m_e = 1\), unless otherwise specified.

  2. 2.

    In the jK-coupling scheme, the \(nl[K]_J\) indicates, for the Xe atom, that the total angular momentum j of the \(5p^5_j\) core is first coupled to the orbital momentum of the excited electron \(\varvec{\ell }\), \(\varvec{j} + \varvec{\ell } = \varvec{K}\), with subsequent coupling of spin of this electron, \(\varvec{K} + \varvec{s} = \varvec{J}\).

  3. 3.

    The easiest way to obtain this is to consider the system in the initial state as a product of two subspaces, the electronic shell momentum and the nuclear spin \(\hat{J}\bigotimes \hat{I}\), and then, couple them to the total angular momentum \(\hat{F}\) only after the excitation.

  4. 4.

    The statistical tensor (12.5) has a dimension of probability per second, while the dimension of the two-photon cross section (12.7) is \(\text {cm}^2/\text {s}\).

  5. 5.

    The first 6j-symbol was missed in (6) of [26].

  6. 6.

    Statistical tensors of photon in the dipole approximation are defined according to (12.2) for a particle with the angular momentum \(J=1\) having zero projection on the direction of the propagation.

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Acknowledgements

The authors highly appreciate the team of experimentalists, D. Cubaynes, G. A. Garcia, M. Meyer, L. Nahon and P. O’Keeffe, whose inspiration measurements initiated our theoretical study. We are grateful to kind hospitality of the French synchrotron SOLEIL and the European XFEL. EVG acknowledges financial support from the Basis foundation via the Junior Leader program.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, 119991, Russia

    Elena V. Gryzlova & Alexei N. Grum-Grzhimailo

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  1. Elena V. Gryzlova
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  2. Alexei N. Grum-Grzhimailo
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Correspondence to Elena V. Gryzlova .

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Editors and Affiliations

  1. Department of Chemistry, The University of Tokyo, Tokyo, Japan

    Kaoru Yamanouchi

  2. Institute of Chemistry, Saint Petersburg State University, Saint Petersburg, Russia

    Sergey Tunik

  3. Physics Faculty, Lomonosov Moscow State University, Moscow, Russia

    Vladimir Makarov

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Gryzlova, E.V., Grum-Grzhimailo, A.N. (2019). Effects of Hyperfine Interaction in Atomic Photoionization. In: Yamanouchi, K., Tunik, S., Makarov, V. (eds) Progress in Photon Science. Springer Series in Chemical Physics, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-030-05974-3_12

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