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Contribution of light-by-light scattering to energy levels of light muonic atoms

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Abstract

The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static-muon approximation and a part of the paper is devoted to the verification of this approximation and analysis of its uncertainty.

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References

  1. R. Pohl, A. Antognini, F. Nez, et al., Nature 466, 213 (2010).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. V. G. Ivanov, E. Yu. Korzinin, and S. G. Karshenboim, Phys. Rev. D 80, 027702 (2009); arXiv:0905.4471.

    Article  ADS  Google Scholar 

  4. T. Kinoshita and M. Nio, Phys. Rev. Lett. 103, 079901(E) (2009).

    Article  ADS  Google Scholar 

  5. S. G. Karshenboim, V. G. Ivanov, E. Yu. Korzinin, and V. A. Shelyuto, Phys. Rev. A 81, 060501 (2010); arXiv:1005.4879.

    Article  ADS  Google Scholar 

  6. M. I. Eides, H. Grotch, and V. A. Shelyuto, Theory of Light Hydrogenic Bound States, Springer Tracts Mod. Phys. 222 (Springer, Berlin, Heidelberg, 2007).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  8. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).

    Article  MATH  ADS  Google Scholar 

  9. E. Borie, Phys. Rev. A 72, 052511 (2005).

    Article  ADS  Google Scholar 

  10. E. Borie and G. A. Rinker, Phys. Rev. A 18, 324 (1978).

    Article  ADS  Google Scholar 

  11. P. Vogel, At. Data Nucl. Data Tabels 14, 599 (1974).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. K. Blomquist, Nucl. Phys. B 48, 95 (1972).

    Article  ADS  Google Scholar 

  14. E. Borie, Phys. Rev. A 71, 032508 (2005).

    Article  ADS  Google Scholar 

  15. E. Borie, Nucl. Phys. A 267, 485 (1976).

    Article  ADS  Google Scholar 

  16. P Lepage, J. Comput. Phys. 27, 192 (1978); preprint CLNS-80/447.

    Article  MATH  ADS  Google Scholar 

  17. A. P. Martynenko, Phys. Rev. A 76, 012505 (2007).

    Article  ADS  Google Scholar 

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Correspondence to S. G. Karshenboim.

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Original Russian Text © S.G. Karshenboim, E.Yu. Korzinin, V.G. Ivanov, V.A. Shelyuto, 2010, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 92, No. 1, pp. 9–15.

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Karshenboim, S.G., Korzinin, E.Y., Ivanov, V.G. et al. Contribution of light-by-light scattering to energy levels of light muonic atoms. Jetp Lett. 92, 8–14 (2010). https://doi.org/10.1134/S0021364010130023

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  • DOI: https://doi.org/10.1134/S0021364010130023

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