Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Boikova O. A., Boikova N. A., Kleshchevskaya S. V., Tyuhtyaev Y. N. The Reseach of Corrections to the Fine Shift of Energy Levels in the Hydrogen-Like Atoms. Izvestiya of Saratov University. Physics , 2008, vol. 8, iss. 2, pp. 42-46. DOI: 10.18500/1817-3020-2008-8-2-42-46

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
23.12.2008
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Language: 
Russian
Heading: 
Physics
Article type: 
Article
UDC: 
621.382.029.6
DOI: 
10.18500/1817-3020-2008-8-2-42-46

The Reseach of Corrections to the Fine Shift of Energy Levels in the Hydrogen-Like Atoms

Autors: 
Boikova Olga Alexeevna, Saratov State University
Boikova Natal’ya Adamovna, Saratov State University
Kleshchevskaya Svetlana Victorovna, Saratov State University
Tyuhtyaev Yuri’ Nikolatvitch, Saratov State University
Abstract: 

The method of calculation of the value the thin shifts of energy levels of bound states on a basis relativistic upgraded quasipotential equation is considered. The appropriate perturbation theory permitting to calculate shifts of the energy levels in hydrogen-like atoms with a high accuracy is advanced. We obtained logarithmic corrections about α6 lnα−1 by one photon interaction are obtained, and earlier conventional result is confirmed.

Key words: 
the bound state
the fine shift
the energy level
the hydrogen-like atoms
the Coulomb interaction
the logarithmic correction
Reference: 
  1. Mohr P.J., Taylor B.N. CODATE recommended values of the fundamental physics constants. 2000 // Rev. Mod. Phys. 2000. Vol. 72, № 2. P. 5496–5499.
  2. Бойкова Н.А., Тюхтяев Ю.Н., Фаустов Р.Н. О вкладах порядка a6ln(m2/m1) в тонкий сдвиг S-уровней энергии мюония // Ядерная физика. 1998. Т. 61, № 5. C. 866–870.
  3. Fulton T., Martin P.C. Two-body system in quantum electrodynamics. Energy levels of positronium // Phys. Rev. 1954. Vol. 95, № 3. P. 811–822.
  4. Grotch H., Yennie D.R. Effective potential model for calculating nuclear corrections to the energy levels of hydrogen // Rev. Mod. Phys.1969. Vol. 41, № 2. P. 350–374.
  5. Нюнько Н.Е., Тюхтяев Ю.Н., Фаустов Р.Н. Влияние движения ядра на тонкую структуру водорода / Сообщение ОИЯИ Р2-7493. Саратов, 1973. 16 с.
  6. Doncheski M., Grotch H., Erickson G.W. Pure recoil corrections to the Lamb shift in hydrogenic atoms // Phys. Rev. 1991 Vol. 43, № 5. P. 2152–2170.
  7. Salpeter E.E., Bethe H.A. Relativistic equation for bound state problems // Phys. Rev. 1951. Vol. 84, № 6. P. 1232–1242.
  8. Khriplovich I.B., Milstein A.I., Yelkhovsky A.S. Corrections of (a6 lna) in two-body QED problem // Phys. Lett. B. 1992. Vol. 282. P. 237–242.
  9. Fell R.N. Order a4 lna−1 fRYD. Corrections to the n=1 and n=2. Energy levels of positronium // Phys. Rev. Lett. 1992. Vol. 68. P. 25–28.
  10. Khriplovich I.B., Milstein A.I., Yelkhovsky A.S. Logarifmic corrections in the two–body QED problem // Physica Scripta. 1993. Vol. 146. P. 252–260.
  11. Fell R.N. Corrections of (a6 lna) / Preprint BUM 01742. Massachusetts, 1992.
  12. Fell R.N., Khriplovich I.B., Milstein A.I., Yelkhovsky A.S. On the recoil corrections in hydrogen // Phys. Lett. A. 1993. Vol. 181. P. 172–174.
Received: 
12.07.2008
Accepted: 
09.11.2008
Published: 
23.12.2008
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