Abstract:
Using a modified quasipotential perturbation theory, we study the value of
the fine shift of the energy S levels of hydrogen-like atoms due to
the two-photon Coulomb interactions and the dependence of this value
on the particle mass ratio parameter.
Keywords:
relativistic quantum theory, bound state, hydrogen-like atom, fine shift of the energy S levels, recoil effect, recoil correction.
Citation:
N. A. Boikova, S. V. Kleshchevskaya, Yu. N. Tyukhtyaev, R. N. Faustov, “Influence of nucleus motion on the fine structure of a hydrogen-like
atom with unequal particle masses”, TMF, 149:3 (2006), 325–338; Theoret. and Math. Phys., 149:3 (2006), 1578–1590
\Bibitem{BoiKleTyu06}
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\paper Influence of nucleus motion on the~fine structure of a~hydrogen-like
atom with unequal particle masses
\jour TMF
\yr 2006
\vol 149
\issue 3
\pages 325--338
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\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 149
\issue 3
\pages 1578--1590
\crossref{https://doi.org/10.1007/s11232-006-0142-1}
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Linking options:
https://www.mathnet.ru/eng/tmf5520
https://doi.org/10.4213/tmf5520
https://www.mathnet.ru/eng/tmf/v149/i3/p325
This publication is cited in the following 7 articles:
Boykova N.A., Boykova O.A., “Hyperfine splitting in the quasipotential approach”, Saratov Fall Meeting 2015 (Saratov, Russian Federation, Tuesday 22 September 2015), SPIE Proceedings, 9917, eds. Genina E., Derbov V., Postnov D., Pravdin A., Larin K., Meglinski I., Tuchin V., Spie-Int Soc Optical Engineering, 2016, 99172S
S Churochkina, A Udalova, “Retardation effect in the recoil corrections to the fine shift ofSenergy levels of hydrogen-like atoms”, J. Phys.: Conf. Ser., 714 (2016), 012007
Boikova N.A., Tyukhtyaev Yu.N., Faustov R.N., “Compensation of logarithmic corrections in calculating the fine structure of levels in hydrogen-like atoms”, Phys Atomic Nuclei, 74:1 (2011), 67–71
O. A. Boikova, S. V. Kleshchevskaya, Yu. N. Tyukhtyaev, R. N. Faustov, “Special features of the quasipotential approach to studying higher order corrections in the fine-structure constant to fine shifts of hydrogen energy levels”, Phys. Atom. Nuclei, 73:6 (2010), 988
Boikova, NA, “Toward solving the problem of the nuclear-motion effect on the fine structure of the hydrogen-like atom by the quasipotential method”, Physics of Atomic Nuclei, 72:2 (2009), 272
Boikova N.A., Kleshchevskaya S.V., Tyukhtyaev Yu.N., Faustov R.N., “New data about the size of the fine shift of the energy levels of hydrogen-like atom with an accuracy up to the sixth order on the fine structure constant”, International Workshop on Quantum Optics 2007, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 7024, 2008, X240–X240
Boikova O.A., Boikova N.A., Kleshchevskaya S.V., Tyukhtyaev Yu.N., “On the possibility of precise calculations of the contribution to the fine energy shifts of hydrogen-like atoms due to the motion of the nucleus”, Saratov Fall Meeting 2006: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VII, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6537, 2007, K5370–K5370