New numerical approach to calculation of the Fermi function

Authors: Dubrovskaya Yu.V.

Year: 2009

Issue: 07

Pages: 236-240


It is proposed a new approach to calculating the Fermi function in beta decay theory, which bases on the QED perturbation theory with using gauge-invariant basises of relativistic functions.

Tags: Fermi function; new approach; perturbation theory


  1. Джелепов Б.С., Зырянова Л.П., Суслов Ю.П. Бета-процессы. Функции для анализа бета-спектров и электронного захвата.– Л.: Наука, 1978. – 473С.
  2. Clementi E., Roetti C. Roothaan-Hartree-Fock atomic wavefunctions. Basis functions and their coefficients for ground and certain excited states of neutral ionized atoms, Z<54//Atom. Data Nucl. Data Tabl. – 1974- Vol.14, N3-4 – P.177-478.
  3. Behrens H., Janske J. Landolt-Berstein. New series. Gr.1.V.4.: N-Y, Spriner- 1969.
  4. Karpeshin F, Trzhaskovskaya M., Gangrskii Y.P., Resonance Internal Conversion in heavy Ions //JETP.-2004.-Vol.99.-P.286-289.
  5. Harston M.R., Pyper N.C. On estimates of probabilities for beta Decay of a Nucleus with capture on electron shells // Phys.Rev. Lett. – 1986.-Vol.56.-P.1790-1795.
  6. Aerts P.J.C., Nieuwpoort W.C. On the use of gaussian basis sets to solve the Hartree-Fock-Dirac equation. I. Application to one electron atomic systems// Chem. Phys. Lett. – 1985. -Vol.113, N2. -P.165-172.
  7. Dietz K., Hess B.A. Single particle orbitals for configuration interaction derived from quantum electrodynamics// Phys.Scripta. – 1989.-Vol.39. -P.682-688.
  8. Glushkov A.V., Malinovskaya S.V. Co-operative laser nuclear processes: border lines effects// In: New projects and new lines of research in nuclear physics. Eds. G.Fazio and F.Hanappe, Singapore : World Scientific. – 2003.-P.242-280.
  9. 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.
  10. Глушков А.В. Релятивистские и корреляционные эффекты в спектрах атомных систем.- Одесса: Астропринт, 2006.- 400С.
  11. 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.
  12. Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Loboda A.V., Florko T.A., Lovett L. Gauge-invariant 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.
  13. 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.
Download full text (PDF)