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Nonperturbative effects caused by the radiative component of the electron magnetic moment in hydrogen-like atoms

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Moscow University Physics Bulletin Aims and scope

Abstract

The lower levels of the discrete spectrum of a hydrogen-like atom are calculated within the point-like nucleus approximation with nonperturbative consideration for the Schwinger interaction of the radiative component of the magnetic moment of a free electron with the Coulomb field of a nucleus. The behavior of the 1s 1/2, 2s 1/2, 2p 1/2, and 2p 3/2 levels is investigated depending on the nuclear charge values, including the range of Z > 137, where the Dirac Hamiltonian continues to be self adjoint in the presence of the Schwinger term. It is shown that the Schwinger interaction for large Z causes significant changes in the properties of the discrete spectrum; in particular, the first level that reaches the threshold of a negative continuum is 2p 1/2 and this occurs at Z = 147. The behavior of the g-factor of an electron for the 1s 1/2 and 2p 1/2 states as a function of Z is considered as well and it is shown that for extremely large charges the correction to the g-factor due to the Schwinger term becomes a very significant effect.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    K. A. Sveshnikov & D. I. Khomovskii

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  1. K. A. Sveshnikov
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  2. D. I. Khomovskii
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Correspondence to D. I. Khomovskii.

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Original Russian Text © K.A. Sveshnikov, D.I. Khomovskii, 2012, published in Vestnik Moskovskogo Universiteta. Fizika, 2012, No. 5, pp. 18–24.

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Sveshnikov, K.A., Khomovskii, D.I. Nonperturbative effects caused by the radiative component of the electron magnetic moment in hydrogen-like atoms. Moscow Univ. Phys. 67, 429–436 (2012). https://doi.org/10.3103/S0027134912050128

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  • DOI: https://doi.org/10.3103/S0027134912050128

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