EGAS41 - Swansea University

41 st EGAS CP 1 Gdańsk 2009
Dielectronic recombination of H-like highly charged ions
O.Yu. Andreev 1,∗ , L.N. Labzowsky 1,2 , A.V. Prigorovsky 1
1 Faculty of Physics, St. Petersburg State University, Ulyanovskaya 1, 198504, Petrodvorets, St.
Petersburg, Russia
2 Petersburg Nuclear Physics Institute, 188300, Gatchina, St. Petersburg, Russia
∗ Corresponding author: olyuan@gmail.com,
We present theoretical investigation of the process of dielectronic recombination (DR) of
H-like highly charged ions. Dielectronic recombination together with radiative recombination
plays the main role in the process of capture of an electron by ion. For calculation
of the cross section of the electronic recombination in the framework of QED, we employ
the Line Profile Approach (LPA) [1,2]. The LPA was first developed for QED calculation
of the energy levels (particular, quasidegenerate levels) of the highly charged ions
[1], recently, it was applied for QED calculation of the transition probabilities [1,2]. The
advantage of the LPA is the possibility to calculate the interelectron interaction with
high level of accuracy. Within the LPA the interelectron interaction is partly included
to all orders in the QED perturbation theory. For the present calculation the LPA was
generalized for the systems containing an electron from the continuum.
We performed QED calculation of the total cross section of the electronic recombination
of H-like uranium. The cross section is presented as a function of the energy of
incident electron. Due to the DR process the cross section shows resonances corresponding
to the doubly excited (2s, 2s), (2s, 2p), (2p, 2p) two-electron configurations. These
resonances are investigated in details. The interelectron interaction for the ns, np, ndelectrons
(the principal quantum number n ≤ 3) is taken in all orders of QED perturbation
theory (PT). The interelectron interaction for the other electrons (including the negative
part of the Dirac spectrum) is considered in the first order of PT. The dominant part of
the radiative corrections (self-energy and vacuum polarization) is also taken into account;
the self-energy vertex corrections which are not resonant are missing.
Results of the present calculation are compared with previous calculations [3,4]. The
interelectron interaction is taken into account in the present work more precisely compared
to the previous works. Since the LPA is ab initio QED approach, the QED effects are
considered systematically. The major discrepancy between the calculations reveals itself
in the lineshapes of the resonances.
References
[1] O.Yu. Andreev, L.N. Labzowsky, G. Plunien, D.A. Solovyov, Phys. Rep. 455, 135
(2008)
[2] O.Yu. Andreev, L N. Labzowsky, G. Plunien, Phys. Rev. A 79, 032515 (2009)
[3] V.V. Karasiov, L.N. Labzowsky, A.V. Nefiodov, V.M. Shabaev, Phys. Lett. A 161,
453 (1992)
[4] S. Zakowicz, W. Scheid, N. Grün, J. Phys. B 37, 131 (2004)
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