[PDF]
http://dx.doi.org/10.3952/lithjphys.51104
Open access article / Atviros prieigos straipsnis
Lith. J. Phys. 51, 19–24 (2011)
QED CORRECTIONS FOR THE VALENCE
ELECTRON IN HEAVY AND SUPER-HEAVY ATOMS
I.A. Goydenko and Yu.Yu. Dmitriev
Department of Physics, St. Petersburg State University,
Uljanovskaya 1, Petrodvorets, RU-198904 St. Petersburg, Russia
E-mail: igor_g@landau.phys.spbu.ru
Received 22 September 2010; revised
4 December 2010; accepted 17 March 2011
The radiative QED corrections for
the valence electron of the neutral Rg (Z =111) atom are
estimated within the framework of the post-Dirac–Fock method. In
this method the Koopmans’ approximation is proposed for the
electron propagator in the QED diagrams. Such calculation is done
for the first time for this super-heavy atom. These results
contribute to the discussion concerning the accuracy of the QED
corrections in the super-heavy elements. They also provide the
accuracy limit of the modern relativistic theoretical calculations
for the super-heavy elements.
Keywords: relativistic and quantum
electrodynamic effects in atoms and molecules
PACS: 31.30.Jv
KVANTINĖS ELEKTRODINAMIKOS
PATAISOS SUNKIŲ IR YPAČ SUNKIŲ ATOMŲ VALENTINIAM ELEKTRONUI
I.A. Goydenko, Yu.Yu. Dmitriev
Sankt Peterburgo valstybinio universiteto Fizikos katedra,
Sankt Peterburgas, Rusija
Radiacinės kvantinės elektrodinamikos (KED)
pataisos neutralaus Rg (Z = 111) atomo valentiniam
elektronui įvertintos „vėlesnio nei Dirako ir Foko“ metodo
požiūriu. Šiame metode elektrono propagatorių KED diagramose
pasiūlyta aproksimuoti pagal Koopmansą. Šiam ypač sunkiam atomui
toks skaičiavimas atliktas pirmą kartą. Rezultatai papildo
diskusiją apie KED pataisų ypač sunkiems atomams tikslumą. Jie
taip pat rodo šiuolaikinių teorinių skaičiavimų ypač sunkiems
atomams tikslumo ribą.
References / Nuorodos
[1] K. Pitzer, J. Chem. Phys. 63, 1033 (1975),
http://dx.doi.org/10.1063/1.431398
[2] N.S. Mosyagin, T.A. Isaev, and A.V. Titov, Chem. Phys. 124,
224302 (2006)
[3] N.S. Mosyagin, A.N. Petrov, A.V. Titov, and I.I. Tupitsyn, in: Recent
Advances in the Theory of Chemical and Physical Systems, eds.
J.-P. Julien, J. Maruani, D. Mayou, S.Wilson, and G. Delgado-Barrio,
Progress in Theoretical Chemistry and Physics, Vol. 15, Part II
(Springer, Berlin, 2006) pp. 229–252,
http://www.springer.com/chemistry/physical+chemistry/book/978-1-4020-4527-1
[4] B. Fricke and G. Soff, At. Data Nucl. Data Tables 19, 83
(1977),
http://dx.doi.org/10.1016/0092-640X(77)90010-9
[5] E. Eliav, U. Kaldor, Y. Ishikawa, M. Seth, and P. Pyykkö, Phys.
Rev. A 53, 3926 (1994),
http://dx.doi.org/10.1103/PhysRevA.53.3926
[6] I. Goidenko, Eur. Phys. J. D 55, 35 (2009),
http://dx.doi.org/10.1140/epjd/e2009-00216-4
[7] V.V. Flambaum and J.S.M. Ginges, Phys. Rev. A 72, 052115
(2005),
http://dx.doi.org/10.1103/PhysRevA.72.052115
[8] S.I. Gusarov, I.A. Goidenko, Yu.Yu. Dmitriev, and L.N.
Labzowsky, Int. J. Quant. Chem. 107, 2616 (2006),
http://dx.doi.org/10.1002/qua.21431
[9] S. Gusarov, T.A. Fedorova, Yu.Yu. Dmitriev, and A. Kovalenko,
Int. J. Quant. Chem. 109, 1672 (2009),
http://dx.doi.org/10.1002/qua.22007
[10] N.J. Snyderman, Ann. Phys. 211, 43 (1991),
http://dx.doi.org/10.1016/0003-4916(91)90192-B
[11] L.N. Labzowsky, I.A. Goidenko, M. Tokman, and P. Pyykkö, Phys.
Rev. A 59, 2707 (1999),
http://dx.doi.org/10.1103/PhysRevA.59.2707
[12] P. Indelicato, J.P. Santos, S. Boucard, and J.-P. Desclaux,
Eur. Phys. J. D 45, 155 (2007),
http://dx.doi.org/10.1140/epjd/e2007-00229-y