Effects of Hyperfine Interaction in Atomic Photoionization

  • Elena V. GryzlovaEmail author
  • Alexei N. Grum-Grzhimailo
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 119)


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.



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.


  1. 1.
    E.B. Aleksandrov, V.N. Kulyasov, Sov. Phys. JETP 28, 396–400 (1969)ADSGoogle Scholar
  2. 2.
    E.B. Aleksandrov, Sov. Phys. JETP 29, 846–848 (1969)ADSGoogle Scholar
  3. 3.
    E.B. Aleksandrov, V.P. Kozlov, V.N. Kulyasov, Sov. Phys. JETP 39, 620–626 (1974)ADSGoogle Scholar
  4. 4.
    S. Aloïse, P. O’Keeffe, D. Cubaynes, M. Meyer, A.N. Grum-Grzhimailo, Phys. Rev. Lett. 94, 223002(1)–223002(4) (2005)Google Scholar
  5. 5.
    S. Baier, A.N. Grum-Grzhimailo, N.M. Kabachnik, J. Phys. B 27, 3363–3388 (1994)ADSCrossRefGoogle Scholar
  6. 6.
    V.V. Balashov, A.N. Grum-Grzhimailo, N.M. Kabachnik, Polarization and Correlation Phenomena in Atomic Collisions. A Practical Theory Course (Kluwer Plenum, New York, 2000)Google Scholar
  7. 7.
    B.B. Birkett, J.-P. Briand, P. Charles et al., Phys. Rev. A 47, R2454–R2457 (1993)ADSCrossRefGoogle Scholar
  8. 8.
    K. Blum, Density Matrix Theory and Applications, 2nd edn (Plenum, New York, 1996)CrossRefGoogle Scholar
  9. 9.
    M. Born, J.R. Oppenheimer, Annalen der Physik 389, 457–484 (1927)ADSCrossRefGoogle Scholar
  10. 10.
    T. Brage, P.G. Judge, C.R. Proffitt, Phys. Rev. Lett. 89, 281101(1)–281101(4) (2002)Google Scholar
  11. 11.
    A.W. Carr, M. Saffman, Phys. Rev. Lett. 117, 150801(1)–150801(6) (2016)Google Scholar
  12. 12.
    R.-L. Chien, O.C. Mullins, R.S. Berry, Phys. Rev. A 28, 2678–2084 (1983)CrossRefGoogle Scholar
  13. 13.
    L.E. Cuéllar, C.S. Feigerle, H.S. Carman Jr., R.N. Compton, Phys. Rev. A 45, 6437–6440 (1991)ADSCrossRefGoogle Scholar
  14. 14.
    B. Denne, S. Huldt, J. Pihl, R. Hallin, Phys. Scr. 22, 45–48 (1980)ADSCrossRefGoogle Scholar
  15. 15.
    J.A. Duncanson Jr., M.P. Strand, A. Lindgård, R.S. Berry, Phys. Rev. Lett. 37, 987–990 (1976)ADSCrossRefGoogle Scholar
  16. 16.
    L. Essen, J.V.L. Parry, Nature 176, 280–282 (1955)ADSCrossRefGoogle Scholar
  17. 17.
    U. Fano, Phys. Rev. 124, 1866–1978 (1961)ADSCrossRefGoogle Scholar
  18. 18.
    U. Fano, J.H. Macek, Phys. Rev. 45, 553–573 (1973)Google Scholar
  19. 19.
    P.M. Farrell, W.R. MacGillivray, M.C. Standage, Phys. Rev. A 44, 1828–1835 (1991)ADSCrossRefGoogle Scholar
  20. 20.
    C.S. Feigerle, R.N. Compton, L.E. Cuéllar, N.A. Cherepkov, L.V. Chernysheva, Phys. Rev. A 53, 4183–4189 (1996)ADSCrossRefGoogle Scholar
  21. 21.
    V.V. Flambaum, V.A. Dzuba, A. Derevianko, Phys. Rev. Lett. 101, 220801(1)–220801(4) (2008)Google Scholar
  22. 22.
    R. Forbes, V. Makhija, A. Stolow, I. Wilkinson, P. Hocketty, R. Lausten, Phys. Rev. A 97, 063417(1)–063417(11) (2018)Google Scholar
  23. 23.
    M. Göppert-Mayer, Phys. Rev. 78, 16–21 (1950)ADSCrossRefGoogle Scholar
  24. 24.
    A.N. Grum-Grzhimailo, S. Fritzsche, P. O’Keeffe, M. Meyer, J. Phys. B 38, 2545–2553 (2005)ADSCrossRefGoogle Scholar
  25. 25.
    A.N. Grum-Grzhimailo, E.V. Gryzlova, Chapter New Trends in Complete Experiment on Atomic Photoionization (in this book)Google Scholar
  26. 26.
    E.V. Gryzlova, P. O’Keeffe, D. Cubaynes, G.A. Garcia, L. Nahon, A.N. Grum-Grzhimailo, M. Meyer, New J. Phys. 17, 043054(1)–043054(15) (2015)ADSCrossRefGoogle Scholar
  27. 27.
    E. Hack, J.R. Huber, Int. Rev. Phys. Chem. 10, 287–317 (1991)CrossRefGoogle Scholar
  28. 28.
    T. Hadeishi, W.A. Nierenberg, Phys. Rev. Lett. 14, 891–892 (1965)ADSCrossRefGoogle Scholar
  29. 29.
    S. Haroche, J.A. Paisner, A.L. Schawlow, Phys. Rev. Lett. 30, 948–951 (1973)ADSCrossRefGoogle Scholar
  30. 30.
    J.R. Henderson, P. Beiersdorfer, C.L. Bennett et al., Phys. Rev. Lett. 65, 705–708 (1990)ADSCrossRefGoogle Scholar
  31. 31.
    D. Huff, W.V. Houston, Phys. Rev. 36, 842–846 (1930)ADSCrossRefGoogle Scholar
  32. 32.
    N.M. Kabachnik, I.P. Sazhina, J. Phys. B 9, 1681–1697 (1976)ADSCrossRefGoogle Scholar
  33. 33.
    A. Kupliauskiene, N. Rak\(\check{\rm {s}}\)tikas, V. Tutlys, J. Phys. B 34, 1783–1803 (2001)Google Scholar
  34. 34.
    L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd edn (Pergamon, London, 1977)Google Scholar
  35. 35.
    R. Luypaert, J. Van Craen, J. Phys. B 10, 3627–3636 (1977)ADSCrossRefGoogle Scholar
  36. 36.
    J.J. McClelland, M.H. Kelley, Phys. Rev. A 31, 3704–3710 (1985)ADSCrossRefGoogle Scholar
  37. 37.
    M. Meyer, B. Müller, A. Nunnemann, Th. Prescher, E.V. Raven, M. Richter, M. Schmidt, B. Sonntag, P. Zimmermann, Phys. Rev. Lett. 59, 2963–2966 (1987)ADSCrossRefGoogle Scholar
  38. 38.
    M. Meyer, M. Gisselbrecht, A. Marquette, C. Delisle, M. Larzillière, I.D. Petrov, N.V. Demekhina, V.L. Sukhorukov, J. Phys. B 38, 285–295 (2005)ADSCrossRefGoogle Scholar
  39. 39.
    S. Mrozowski, Phys. Rev. 57, 207–211 (1940)ADSCrossRefGoogle Scholar
  40. 40.
    O.C. Mullins, R.-L. Chien, J.E. Hunter III, J.S. Keller, R.S. Berry, Phys. Rev. A 31, 321–328 (1985)ADSCrossRefGoogle Scholar
  41. 41.
    L. Nahon, N. de Oliveira, G.A. Garcia, J.-F. Gil, B. Pilette, O. Marcouillé, B. Lagarde, F. Polack, J. Synchrotron Radiat. 19, 508–520 (2012)CrossRefGoogle Scholar
  42. 42.
    D.E. Nikonov, U.W. Rathe, M.O. Scully, S.-Y. Zhu, E.S. Fry, X. Li, G.G. Padmabandu, M. Fleischhauer, Quantum Opt. 6, 245–260 (1994)ADSCrossRefGoogle Scholar
  43. 43.
    P. O’Keeffe, S. Aloïse, S. Fritzsche, B. Lohmann, U. Kleiman, M. Meyer, A.N. Grum-Grzhimailo, Phys. Rev. A 70, 012705(1)–012705(14) (2004)Google Scholar
  44. 44.
    P. O’Keeffe, E.V. Gryzlova, D. Cubaynes, G.A. Garcia, L. Nahon, A.N. Grum-Grzhimailo, M. Meyer, Phys. Rev. Lett. 111, 243002(1)–243002(5) (2013)Google Scholar
  45. 45.
    K.L. Reid, S.P. Duxon, M. Towrie, Chem. Phys. Lett. 228, 351–356 (1994)ADSCrossRefGoogle Scholar
  46. 46.
    N. Saquet, D.M.P. Holland, S.T. Pratt, D. Cubaynes, X. Tang, G.A. Garcia, L. Nahon, K.L. Reid, Phys. Rev. A 93, 033419(1)–033419(11) (2016)Google Scholar
  47. 47.
    A.L. Schawlow, C.H. Townes, Phys. Rev. 112, 1940–1949 (1958)ADSCrossRefGoogle Scholar
  48. 48.
    J.H. Scofield, J. Nilsen, Phys. Rev. A 49, 2381–2388 (1994)ADSCrossRefGoogle Scholar
  49. 49.
    A. Siegel, J. Ganz, W. Bußert, H. Hotop, J. Phys. B 16, 2945–2959 (1983)ADSCrossRefGoogle Scholar
  50. 50.
    V. Sukhorukov, I. Petrov, M. Schäfer, F. Merkt, M.-W. Ruf, H. Hotop, J. Phys. B 45, 092001(1)–092001(43) (2012)Google Scholar
  51. 51.
    J.R. Tolsma, D.J. Haxton, C.H. Greene, R. Yamazaki, D.S. Elliott, Phys. Rev. A 80, 033401(1)–033401(9) (2009)Google Scholar
  52. 52.
    E. Träbert, P. Beiersdorfer, G.V. Brown, Phys. Rev. Lett. 98, 263001(1)–263001(4) (2007)Google Scholar
  53. 53.
    W.A. van Wijngaarden, J. Sagle, J. Phys. B 24, 897–903 (1991)ADSCrossRefGoogle Scholar
  54. 54.
    F. Wuilleumier, M. Meyer, J. Phys. B 39, R425–R477 (2006)ADSCrossRefGoogle Scholar
  55. 55.
    R.P. Wood, C.H. Greene, D. Armstrong, Phys. Rev. A 47, 229–235 (1993)ADSCrossRefGoogle Scholar
  56. 56.
    Z.W. Wu, A. Surzhykov, S. Fritzsche, Phys. Rev. A 89, 022513(1)–022513(7) (2014)Google Scholar
  57. 57.
    H. Xu, E. Lötstedt, T. Ando, A. Iwasaki, K. Yamanouchi, Phys. Rev. A 96, (R)041401(1)–041401(6) (2017)Google Scholar
  58. 58.
    J. von Zanthier, T. Becker, M. Eichenseer et al., Opt. Lett. 25, 1729–1731 (2000)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Elena V. Gryzlova
    • 1
    Email author
  • Alexei N. Grum-Grzhimailo
    • 1
  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussia

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