Nuclear recoil effect on g-factor of heavy ions: prospects for tests of quantum electrodynamics in a new region

  • A. V. Malyshev
  • V. M. Shabaev
  • D. A. Glazov
  • I. I. Tupitsyn
Article
  • 7 Downloads

Abstract

The nuclear recoil effect on the g-factor of H- and Li-like heavy ions is evaluated to all orders in αZ. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to the recoil effect. As the result, the second largest contribution to the theoretical uncertainty of the g-factor values of 208Pb79+ and 238U89+ is strongly reduced. Special attention is paid to tests of the QED recoil effect on the g-factor in experiments with heavy ions. It is found that, while the QED recoil effect on the g-factor value is masked by the uncertainties of the nuclear size and nuclear polarization contributions, it can be probed on a few-percent level in the specific difference of the g-factors of H- and Li-like heavy ions. This provides a unique opportunity to test QED in a new region–strong-coupling regime beyond the Furry picture.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Th. Stöhlker, P.H. Mokler, F. Bosch, R. W. Dunford, F. Franzke, O. Klepper, C. Kozhuharov, T. Ludziejewski, F. Nolden, H. Reich, P. Rymuza, Z. Stachura, M. Steck, P. Swiat, and A. Warczak, Phys. Rev. Lett. 85, 3109 (2000).ADSCrossRefGoogle Scholar
  2. 2.
    A. Gumberidze, Th. Stöhlker, D. Banaś, K. Beckert, P. Beller, H. F. Beyer, F. Bosch, S. Hagmann, C. Kozhuharov, D. Liesen, F. Nolden, X. Ma, P.H. Mokler, M. Steck, D. Sierpowski, and S. Tashenov, Phys. Rev. Lett. 94, 223001 (2005).ADSCrossRefGoogle Scholar
  3. 3.
    J. Schweppe, A. Belkacem, L. Blumenfeld, N. Claytor, B. Feinberg, H. Gould, V.E. Kostroun, L. Levy, S. Misawa, J.R. Mowat, and M.H. Prior, Phys. Rev. Lett. 66, 1434 (1991).ADSCrossRefGoogle Scholar
  4. 4.
    C. Brandau, C. Kozhuharov, A. Müller et al. (Collaboration), Phys. Rev. Lett. 91,073202 (2003).ADSCrossRefGoogle Scholar
  5. 5.
    P. Beiersdorfer, H. Chen, D.B. Thorn, and E. Träbert, Phys. Rev. Lett. 95, 233003 (2005).ADSCrossRefGoogle Scholar
  6. 6.
    D. A. Glazov, Y. S. Kozhedub, A. V. Maiorova, V.M. Shabaev, I. I. Tupitsyn, A.V. Volotka, C. Kozhuharov, G. Plunien, and Th. Stöhlker, Hyp. Interact. 199, 71 (2011).ADSCrossRefGoogle Scholar
  7. 7.
    A. V. Volotka, D. A. Glazov, G. Plunien, and V.M. Shabaev, Ann. Phys. (Berlin) 525, 636 (2013).ADSCrossRefGoogle Scholar
  8. 8.
    I. Klaft, S. Borneis, T. Engel, B. Fricke, R. Grieser, G. Huber, T. Kühl, D. Marx, R. Neumann, S. Schröder, P. Seelig, and L. Völker, Phys. Rev. Lett. 73, 2425 (1994).ADSCrossRefGoogle Scholar
  9. 9.
    J.R. Crespo López-Urrutia, P. Beiersdorfer, D. W. Savin, and K. Widmann, Phys. Rev. Lett. 77, 826 (1996).ADSCrossRefGoogle Scholar
  10. 10.
    J.R. Crespo López-Urrutia, P. Beiersdorfer, K. Widmann, B. B. Birkett, A.-M. M˚artensson-Pendrill, and M.G.H. Gustavsson, Phys. Rev. A 57, 879 (1998).ADSCrossRefGoogle Scholar
  11. 11.
    P. Seelig, S. Borneis, A. Dax et al. (Collaboration), Phys. Rev. Lett. 81, 4824 (1998).ADSCrossRefGoogle Scholar
  12. 12.
    P. Beiersdorfer, S.B. Utter, K. L. Wong, J.R. Crespo López-Urrutia, J.A. Britten, H. Chen, C. L. Harris, R. S. Thoe, D.B. Thorn, E. Träbert, M. G.H. Gustavsson, C. Forss´en, and A.-M. M˚artensson-Pendrill, Phys. Rev. A 64, 032506 (2001).ADSCrossRefGoogle Scholar
  13. 13.
    J. Ullmann, Z. Andelkovic, A. Dax et al. (Collaboration), J. Phys. B: At.Mol. Opt. Phys. 48, 144022 (2015).ADSCrossRefGoogle Scholar
  14. 14.
    V.M. Shabaev, A.N. Artemyev, V. A. Yerokhin, O. M. Zherebtsov, and G. Soff, Phys. Rev. Lett. 86, 3959 (2001).ADSCrossRefGoogle Scholar
  15. 15.
    J. Ullmann, Z. Andelkovic, C. Brandau et al. (Collaboration), Nat. Commun. 8, 15484 (2017).ADSCrossRefGoogle Scholar
  16. 16.
    A.V. Volotka, D.A. Glazov, O.V. Andreev, V.M. Shabaev, I. I. Tupitsyn, and G. Plunien, Phys. Rev. Lett. 108, 073001 (2012).ADSCrossRefGoogle Scholar
  17. 17.
    J.-P. Karr, Nature Physics 13, 533 (2017).ADSCrossRefGoogle Scholar
  18. 18.
    H. Häffner, T. Beier, N. Hermanspahn, H. J. Kluge, W. Quint, S. Stahl, J. Verdú, and G. Werth, Phys. Rev. Lett. 85, 5308 (2000).ADSCrossRefGoogle Scholar
  19. 19.
    J. Verdú, S. Djekić, S. Stahl, T. Valenzuela, M. Vogel, G. Werth, T. Beier, H. J. Kluge, and W. Quint, Phys. Rev. Lett. 92, 093002 (2004).ADSCrossRefGoogle Scholar
  20. 20.
    S. Sturm, A. Wagner, B. Schabinger, J. Zatorski, Z. Harman, W. Quint, G. Werth, C. H. Keitel, and K. Blaum, Phys. Rev. Lett. 107, 023002 (2011).ADSCrossRefGoogle Scholar
  21. 21.
    A. Wagner, S. Sturm, F. Köhler, D.A. Glazov, A. V. Volotka, G. Plunien, W. Quint, G. Werth, V.M. Shabaev, and K. Blaum, Phys. Rev. Lett. 110, 033003 (2013).ADSCrossRefGoogle Scholar
  22. 22.
    D. von Lindenfels, M. Wiesel, D.A. Glazov, A. V. Volotka, M.M. Sokolov, V.M. Shabaev, G. Plunien, W. Quint, G. Birkl, A. Martin, and M. Vogel, Phys. Rev. A 87, 023412 (2013).ADSCrossRefGoogle Scholar
  23. 23.
    S. Sturm, A. Wagner, M. Kretzschmar, W. Quint, G. Werth, and K. Blaum, Phys. Rev. A 87, 030501(R) (2013).ADSCrossRefGoogle Scholar
  24. 24.
    S. Sturm, F. Köhler, J. Zatorski, A. Wagner, Z. Harman, G. Werth, W. Quint, C. H. Keitel, and K. Blaum, Nature 506, 467 (2014).ADSCrossRefGoogle Scholar
  25. 25.
    F. Köhler, K. Blaum, M. Block, S. Chenmarev, S. Eliseev, D.A. Glazov, M. Goncharov, J. Hou, A. Kracke, D.A. Nesterenko, Yu.N. Novikov, W. Quint, E.M. Ramirez, V.M. Shabaev, S. Sturm, A.V. Volotka, and G. Werth, Nat Commun. 7, 10246 (2016).CrossRefGoogle Scholar
  26. 26.
    V.M. Shabaev, D.A. Glazov, A. V. Malyshev, and I. I. Tupitsyn, Phys. Rev. Lett., accepted for publication.Google Scholar
  27. 27.
    V.M. Shabaev and V.A. Yerokhin, Phys. Rev. Lett. 88, 091801 (2002).ADSCrossRefGoogle Scholar
  28. 28.
    A. V. Nefiodov, G. Plunien, and G. Soff, Phys. Rev. Lett. 89, 081802 (2002).ADSCrossRefGoogle Scholar
  29. 29.
    V.M. Shabaev, D.A. Glazov, M.B. Shabaeva, V. A. Yerokhin, G. Plunien, and G. Soff, Phys. Rev. A 65, 062104 (2002).ADSCrossRefGoogle Scholar
  30. 30.
    V.M. Shabaev, D.A. Glazov, N. S. Oreshkina, A.V. Volotka, G. Plunien, H. J. Kluge, and W. Quint, Phys. Rev. Lett. 96, 253002 (2006).ADSCrossRefGoogle Scholar
  31. 31.
    A. V. Volotka and G. Plunien, Phys. Rev. Lett. 113, 023002 (2014).ADSCrossRefGoogle Scholar
  32. 32.
    V. A. Yerokhin, E. Berseneva, Z. Harman, I. I. Tupitsyn, and C.H. Keitel, Phys. Rev. Lett. 116, 100801 (2016).ADSCrossRefGoogle Scholar
  33. 33.
    V.M. Shabaev, Phys. Rev. A 64, 052104 (2001).ADSCrossRefGoogle Scholar
  34. 34.
    V.M. Shabaev, Phys. Rep. 356, 119 (2002).ADSCrossRefGoogle Scholar
  35. 35.
    A. A. Shchepetnov, D.A. Glazov, A. V. Volotka, V.M. Shabaev, I. I. Tupitsyn, and G. Plunien, J. Phys. Conf. Ser. 583, 012001 (2015).CrossRefGoogle Scholar
  36. 36.
    J. Sapirstein and W.R. Johnson, J. Phys. B: At. Mol. Opt. Phys. 9, 5213 (1996).ADSCrossRefGoogle Scholar
  37. 37.
    V.M. Shabaev, I. I. Tupitsyn, V.A. Yerokhin, G. Plunien, and G. Soff, Phys. Rev. Lett. 93, 130405 (2004).ADSCrossRefGoogle Scholar
  38. 38.
    I. Angeli and K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013).ADSCrossRefGoogle Scholar
  39. 39.
    J.P. Perdew and A. Zunger, Phys. Rev. B 3, 5048 (1981).ADSCrossRefGoogle Scholar
  40. 40.
    J. Sapirstein and K.T. Cheng, Phys. Rev. A 66, 042501 (2002).ADSCrossRefGoogle Scholar
  41. 41.
    V.M. Shabaev, I. I. Tupitsyn, K. Pachucki, G. Plunien, and V.A. Yerokhin, Phys. Rev. A 72, 062105 (2005).ADSCrossRefGoogle Scholar
  42. 42.
    J. Sapirstein and K.T. Cheng, Phys. Rev. A 83, 012504 (2011).ADSCrossRefGoogle Scholar
  43. 43.
    A. V. Malyshev, D.A. Glazov, A. V. Volotka, I. I. Tupitsyn, V.M. Shabaev, G. Plunien, and Th. Stöhlker, Phys. Rev. A 96, 022512 (2017).ADSCrossRefGoogle Scholar
  44. 44.
    I. A. Aleksandrov, A.A. Shchepetnov, D.A. Glazov, and V.M. Shabaev, J. Phys. B: At. Mol. Opt. Phys. 48, 144004 (2015).ADSCrossRefGoogle Scholar
  45. 45.
    A. V. Volotka, D. A. Glazov, V.M. Shabaev, I. I. Tupitsyn, and G. Plunien, Phys. Rev. Lett. 112, 253004 (2014).ADSCrossRefGoogle Scholar
  46. 46.
    D. A. Glazov, V.M. Shabaev, I. I. Tupitsyn, A. V. Volotka, V. A. Yerokhin, G. Plunien, and G. Soff, Phys. Rev. A 70, 062104 (2004).ADSCrossRefGoogle Scholar
  47. 47.
    D.A. Glazov, A.V. Volotka, V.M. Shabaev, I. I. Tupitsyn, and G. Plunien, Phys. Lett. A 357, 330 (2006).ADSCrossRefGoogle Scholar
  48. 48.
    D.A. Glazov, A.V. Volotka, V.M. Shabaev, I. I. Tupitsyn, and G. Plunien, Phys. Rev. A 81, 062112 (2010).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  • A. V. Malyshev
    • 1
  • V. M. Shabaev
    • 1
  • D. A. Glazov
    • 1
  • I. I. Tupitsyn
    • 1
  1. 1.Department of PhysicsSt. Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations