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Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

  • Regular Article - Theoretical Physics
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Abstract.

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to \( r_N^2\) from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic hydrogen, as well as the photon-photon interaction amplitudes, leading to the exchange of the axial vector meson. In constructing the quasipotential of the muon-nucleus interaction, we use the method of projection operators on states of two particles with a definite spin and total angular momentum. Analytical calculation of the matrix elements is performed and contributions to the fine and hyperfine structure of the \( 2P_{1/2}\) and \( 2P_{3/2}\) levels are obtained.

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Authors and Affiliations

  1. Joint Institute of Nuclear Research, BLTP, 141980, Moscow region, Dubna, Russia

    A. E. Dorokhov & N. I. Kochelev

  2. Institute of Modern Physics of Chinese Academy of Sciences, 730000, Lanzhou, China

    N. I. Kochelev & A. E. Radzhabov

  3. Samara University, 443086, Samara, Russia

    A. P. Martynenko & F. A. Martynenko

  4. Matrosov Institute for System Dynamics and Control Theory SB RAS, 664033, Irkutsk, Russia

    A. E. Radzhabov

Authors
  1. A. E. Dorokhov
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  2. N. I. Kochelev
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  3. A. P. Martynenko
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  4. F. A. Martynenko
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  5. A. E. Radzhabov
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Corresponding author

Correspondence to A. P. Martynenko.

Additional information

Communicated by V. Somà

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Dorokhov, A.E., Kochelev, N.I., Martynenko, A.P. et al. Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen. Eur. Phys. J. A 54, 131 (2018). https://doi.org/10.1140/epja/i2018-12570-x

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  • DOI: https://doi.org/10.1140/epja/i2018-12570-x

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