Specialization: 011200 Physics
Program: Quantum Mechanics of Atoms, Molecules and Solids
Division of Quantum Mechanics 
Supervisor: Prof. L.N. Labzowsky
Referee: A.V. Maiorova 

The quantum electrodynamic calculation of the differential cross section for dielectronic recombination with the one-electron ion uranium
K.N. Lyashchenko

Calculation of the dielectronic recombination with one-electron uranium within the framework of QED is presented in work. We consider process where the initial state is presented by a one-electron ion of uranium being in the ground state and by an incident electron. The energy of the initial state is close to the energies of double-excited states ((2s,2s), (2s,2p), (2p,2p)). The final state is given by a two-electron ion in one of the single-excited states ((1s,2s), (1s,2p)) and by emitted photon. The process of dielectronic recombination is a resonant process. The resonances in the cross section correspond to the double excited states. In the resonant area the dielectronic recombination gives the main contribution to the cross section. The one-photon exchange correction for the low-lying states is taken into account in all orders of the QED perturbation theory. The electron self-energy and vacuum polarization corrections are considered in the first order of the perturbation theory.
We present results of the calculation of the total and differential cross section.
The polarization properties are also considered and the Stokes parameters are presented.
The contribution of the Breit interaction to the cross section and to the Stokes parameters is investigated.

	The list of the publications
1 A. Bondarevskaya, E. A. Mistonova, K. N. Lyashchenko, O.Yu Andreev et al. Method for production of highly charged ions with polarized nuclei and zero total electron angular momentum// Physical Review A. V. 90, 2014. P. 064701.  
2 K. N. Lyashchenko, O. Yu. Andreev. Importance of the Breit interaction for calculation of the differential cross section for dielectronic recombination with one-electron uranium// Physical Review A. V. 91, 2015. P. 012511. 
3 K. N. Lyashchenko, O. Yu. Andreev. Calculation of differential cross section for dielectronic recombination with one-electron uranium// Journal of Physics: Conference Series. V. 583, 2015. P. 012005.