New numerical approximation of correction due to the vacuum polarization by nuleus field in the Coulomb systems

Authors: Khetselius O.Yu.

Year: 2009

Issue: 07

Pages: 229-235


It is proposed a new approach to calculating а correction due to the vacuum polarization by nucleus field in the Coulomb systems, including heavy and superheavy finite fermi-systems. New approach is naturally included to а general formalism of QED perturbation theory with using gauge-invariant basises of relativistic bi-spinors in the zeroth order.

Tags: new approach; perturbation theory; vacuum polarization


  1. Глушков А.В. Релятивистская квантовая теория. Квантовая механика атомных систем.- Одесса: Астропринт, 2008. – 800С.
  2. Glushkov A.V., Ivanov L.N. Radiation decay of atomic states: atomic residue and gauge noninvariant contributions//Phys.Lett.A. – 1992.-V.170,N3.-P.33-37.
  3. Blundell S.A. Ab initio Calculations of QED Effects in Li-like, Na-like and Cu-like Ions// Phys.Scripta. – 1993.-Vol.46, N1. -P.144-150.
  4. Kohn W., Sham L.J. Quantum density oscillations in an inhomogeneous electron gas//Phys. Rev. A. – 1964.-Vol.140. -P.1133–1142.
  5. Dietz K., Hess B.A. Single particle orbitals for configuration interaction derived from quantum electrodynamics// Phys.Scripta. – 1989.- Vol.39. -P.682-688.
  6. Ivanova E.P., Ivanov L.N. Modern Trends in Spectroscopy of Multicharged Ions// Physics Rep. – 1991.-Vol.166, N6. -P.315-390.
  7. Ахиезер А.И., Берестецкий В.Б. Квантовая электродинамика.-М.: Наука, 1989.-725С.
  8. Glushkov A.V. Energy Approach to Resonance states of compound super-heavy nucleus and EPPP in heavy nucleus collisions// Low Energy Antiproton Phys. – 2005.-Vol.796. -P.206-210.
  9. Glushkov A.V., Rusov V.D., Ambrosov S.V., Loboda A.V. Resonance states of compound super-heavy nucleus and EPPP in heavy nucleus collisions //In: New projects and new lines of research in nuclear physics. Eds. G.Fazio and F.Hanappe, Singapore: World Scientific. – 2003.-P.146-162.
  10. Das M.P., Ramana M.V., Rajagopal A.K. Self-consistent relativistic density-functional theory: Application to neutral U atom and some ions of Li isoelectronic sequence// Phys.Rev.A. – 1980.-Vol.22.-P.9-13.
  11. Glushkov A.V., Khetselius O.Yu., Loboda A.V., Svinarenko A.A. QED approach to atoms in a laser field: Multi-photon resonances and above threshold ionization//Frontiers in Quantum Systems in Chemistry and Physics (Springer). – 2008.-Vol.18. -P.541-558.
  12. Ivanova E.P., Ivanov L.N., Glushkov A.V., Kramida A.E. High order corrections in relativistic perturbation theory with model zero Approximation// Physica Scripta. – 1985. -V.32,N4. -P.512-524.
  13. Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Loboda A.V., Florko T.A. Gaugeinvariant QED perturbation theory approach to calculating nuclear electric quadrupole moments, hyperfine structure constants for heavy atoms and ions// Frontiers in Quantum Systems in Chemistry and Physics (Springer). – 2008.-Vol.18.- P.505-552.
  14. Glushkov A.V., Khetselius O.Yu., Malinovskaya S., Dubrovskaya Yu.V., Vitavetskaya L.A. Quantum calculation of cooperative muon-nuclear processes // Recent Advances in Theory of Phys. and Chem. Systems (Springer). – 2006.-Vol.15.-P.301-328.
  15. Glushkov A.V., Gurnitskaya E.P., Khetselius O.Yu. Energy levels, Lamb shift, hyperfine structure of heavy Li-like ions within QED calculation approach//Вісник Київського ун-ту.Сер фіз-.мат. – 2004. -№4 .-С.421-426.
  16. Khetselius O.Yu. Relativistic Calculating the Spectral Lines Hyperfine Structure Parameters for Heavy Ions // Spectral Line Shapes, AIP Serie. – 2008.-Vol.801.-Р.211-216.
  17. Khetselius O.Yu, Nuclear electric quadrupole moments and hyperfine structure parameters for heavy isotopes//Trans. of the SLAC –MENU (Stanford). – 2008.-Vol.1.-P.192-198.
Download full text (PDF)