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Theory of the muonic hydrogen-muonic deuterium isotope shift

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

Corrections of the α3, α4, and α5 orders are calculated for the Lamb shift of the 1S and 2S energy levels of muonic hydrogen μp and muonic deuterium μd. The nuclear structure effects are taken into account in terms of the charge radii of the proton r p and deuteron r d for one-photon interaction, as well as in terms of the electromagnetic form factors of the proton and deuteron for the case of one-loop amplitudes. The μd-μp isotope shift for the 1S-2S splitting is found to be equal to 101003.3495 meV, which can be treated as a reliable estimate when conducting the corresponding experiment with an accuracy of 10−6. The fine-structure intervals E(1S)-8E(2S) in muonic hydrogen and muonic deuteron are calculated.

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References

  1. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 62 (2001).

    Google Scholar 

  2. Yu. L. Sokolov, Usp. Fiz. Nauk 169, 559 (1999) [Phys. Usp. 42, 481 (1999)].

    Google Scholar 

  3. P. J. Mohr and B. N. Taylor, Rev. Mod. Phys. 72, 351 (2000).

    Article  ADS  Google Scholar 

  4. R. Pohl, F. Biraben, C. A. N. Conde, et al., Hyperfine Interact. 127, 161 (2000).

    Article  Google Scholar 

  5. A. Adamczak, D. Bakalov, K. Bakalova, et al., Hyperfine Interact. 136, 1 (2001).

    Article  Google Scholar 

  6. A. Dupays, A. Beswick, B. Lepetit, et al., Phys. Rev. A 68, 052503 (2003).

  7. A. C. Zemach, Phys. Rev. 104, 1771 (1956).

    Article  ADS  MATH  Google Scholar 

  8. A. P. Martynenko and R. N. Faustov, Zh. Éksp. Teor. Fiz. 125, 48 (2004) [JETP 98, 39 (2004)]; hep-ph/0312116.

    Google Scholar 

  9. A. P. Martynenko, Phys. Rev. A 71, 022506 (2005).

    Google Scholar 

  10. S. D. Drell and J. D. Sullivan, Phys. Rev. 154, 1477 (1967).

    Article  ADS  Google Scholar 

  11. J. Bernabeu and T. E. O. Ericson, Z. Phys. A 309, 213 (1983).

    Google Scholar 

  12. E. V. Cherednikova, R. N. Faustov, and A. P. Martynenko, Nucl. Phys. A 703, 365 (2002).

    ADS  Google Scholar 

  13. G. Breit, Rev. Mod. Phys. 30, 507 (1958).

    Article  ADS  Google Scholar 

  14. K. Pachucki, D. Leibfried, M. Weitz, et al., J. Phys. B 29, 177 (1996).

    Article  ADS  Google Scholar 

  15. A. Huber, Th. Udem, B. Gross, et al., Phys. Rev. Lett. 80, 468 (1998).

    ADS  Google Scholar 

  16. M. Niering, R. Holzwarth, J. Reichert, et al., Phys. Rev. Lett. 84, 5496 (2000).

    Article  ADS  Google Scholar 

  17. M. M. Sternheim, Phys. Rev. 138, B430 (1965).

    Article  ADS  Google Scholar 

  18. E. Borie and G. A. Rinker, Rev. Mod. Phys. 54, 67 (1982).

    Article  ADS  Google Scholar 

  19. K. Pachucki, Phys. Rev. A 53, 2092 (1996).

    Article  ADS  Google Scholar 

  20. A. P. Martynenko and R. N. Faustov, Yad. Fiz. 63, 915 (2000) [Phys. At. Nucl. 63, 845 (2000)].

    Google Scholar 

  21. K. Pachucki, Phys. Rev. A 60, 3593 (1999).

    ADS  Google Scholar 

  22. A. Veitia and K. Pachucki, Phys. Rev. A 69, 042501 (2004).

    Google Scholar 

  23. R. N. Faustov and A. P. Martynenko, Phys. Rev. A 67, 052506 (2003).

    Google Scholar 

  24. E. E. Salpeter, Phys. Rev. 87, 328 (1952); 89, 92 (1953).

    ADS  MATH  Google Scholar 

  25. A. P. Martynenko and R. N. Faustov, Teor. Mat. Fiz. 64, 179 (1985).

    Google Scholar 

  26. A. P. Martynenko and R. N. Faustov, Zh. Éksp. Teor. Fiz. 115, 1221 (1999) [JETP 88, 672 (1999)].

    Google Scholar 

  27. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, 2nd ed. (Nauka, Moscow, 1980; Pergamon, Oxford, 1982).

    Google Scholar 

  28. E. H. Wichmann and N. M. Kroll, Phys. Rev. 101, 843 (1956).

    Article  ADS  MathSciNet  Google Scholar 

  29. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rev. D 65, 013003 (2002).

    Google Scholar 

  30. T. Kinoshita and M. Nio, Phys. Rev. Lett. 82, 3240 (1999).

    Article  ADS  Google Scholar 

  31. T. Kinoshita and M. Nio, Phys. Rev. D 60, 053008 (1999).

  32. S. A. Zapryagaev, N. L. Manakov, and V. G. Pal’chikov, Theory of Multi-charge Ions with One and Two Electrons (Énergoatomizdat, Moscow, 1985) [in Russian].

    Google Scholar 

  33. V. G. Ivanov and S. G. Karshenboim, Zh. Éksp. Teor. Fiz. 109, 1219 (1996) [JETP 82, 656 (1996)].

    Google Scholar 

  34. R. Barbieri, M. Caffo, and E. Remiddi, Lett. Nuovo Cimento 7, 60 (1973).

    Google Scholar 

  35. J. R. Sapirstein and D. R. Yennie, in Quantum Electrodynamics, Ed. by T. Kinoshita (World Sci., Singapore, 1990), p. 560.

    Google Scholar 

  36. J. L. Friar, J. Martorell, and D. W. L. Sprung, Phys. Rev. A 56, 4579 (1997).

    ADS  Google Scholar 

  37. G. G. Simon, Ch. Schmitt, F. Borkowski, et al., Nucl. Phys. A 333, 381 (1980).

    ADS  Google Scholar 

  38. A. I. Mil’shtein, S. S. Petrosyan, and I. B. Khriplovich, Zh. Éksp. Teor. Fiz. 109, 1146 (1996) [JETP 82, 616 (1996)]; A. I. Mil’shtein and I. B. Khriplovich, Zh. Éksp. Teor. Fiz. 125, 205 (2004) [JETP 98, 181 (2004)].

    Google Scholar 

  39. R. N. Faustov and A. P. Martynenko, Mod. Phys. Lett. A 16, 507 (2001).

    ADS  Google Scholar 

  40. J. L. Friar, J. Martorell, and D. W. L. Sprung, Phys. Rev. A 59, 4061 (1999).

    Article  ADS  Google Scholar 

  41. R. N. Faustov and A. P. Martynenko, Eur. Phys. J. C 6, 1 (1999).

    Google Scholar 

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Authors and Affiliations

  1. Samara State University, Samara, 443011, Russia

    A. P. Martynenko

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  1. A. P. Martynenko
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 128, No. 6, 2005, pp. 1169–1183.

Original Russian Text Copyright © 2005 by Martynenko.

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Martynenko, A.P. Theory of the muonic hydrogen-muonic deuterium isotope shift. J. Exp. Theor. Phys. 101, 1021–1035 (2005). https://doi.org/10.1134/1.2163919

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