Izvestiya of Saratov University.


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: 
Full text:
(downloads: 110)
Article type: 

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

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

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.

  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 (alna) 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.
На сайте журнала 30.03.2023 запланированы технические работы. В это время сайт может быть недоступен. С уважением, администрация сайта.