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.
Similar content being viewed by others
References
R. Pohl, A. Antognini, F. Nez, et al., Nature 466, 213 (2010).
T. Kinoshita and M. Nio, Phys. Rev. Lett. 82, 3240 (1999).
V. G. Ivanov, E. Yu. Korzinin, and S. G. Karshenboim, Phys. Rev. D 80, 027702 (2009); arXiv:0905.4471.
T. Kinoshita and M. Nio, Phys. Rev. Lett. 103, 079901(E) (2009).
S. G. Karshenboim, V. G. Ivanov, E. Yu. Korzinin, and V. A. Shelyuto, Phys. Rev. A 81, 060501 (2010); arXiv:1005.4879.
M. I. Eides, H. Grotch, and V. A. Shelyuto, Theory of Light Hydrogenic Bound States, Springer Tracts Mod. Phys. 222 (Springer, Berlin, Heidelberg, 2007).
K. Pachucki, Phys. Rev. A 53, 2092 (1996).
M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).
E. Borie, Phys. Rev. A 72, 052511 (2005).
E. Borie and G. A. Rinker, Phys. Rev. A 18, 324 (1978).
P. Vogel, At. Data Nucl. Data Tabels 14, 599 (1974).
E. Borie and G. A. Rinker, Rev. Mod. Phys. 54, 67 (1982).
K. Blomquist, Nucl. Phys. B 48, 95 (1972).
E. Borie, Phys. Rev. A 71, 032508 (2005).
E. Borie, Nucl. Phys. A 267, 485 (1976).
P Lepage, J. Comput. Phys. 27, 192 (1978); preprint CLNS-80/447.
A. P. Martynenko, Phys. Rev. A 76, 012505 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
The article was translated by the authors.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364010130023