**Authors: **Yu.G. Chernyakova, L.A. Vitavetskaya, P.G. Bashkaryova, Yu.V. Dubrovskaya,

**Year: **2015

**Issue: **19

**Pages: **210-215

**Abstract**

Sets out the elements of a gauge-invariant method of relativistic calculations within the relativistic-relativistic perturbation theory characteristics three-quasiparticle atomic states, in particular, states that correspond to the so-called dielectrons satellites of spectral lines of multiply charged ions complex. Proposed to develop an effective solution to the problem of the computational scheme for calculating matrix elementsments corresponding perturbation operator for the N-quasiparticle states in the relativistic orbitals gaugeinvariant QED TV Single- quasiparticle approach and its use in calculations of the spectra dielectronic satellites complex atomic systems, and multiply charged ions. In order to construct the optimized nonempirical single- quasiparticle approximation of QED PT for mulkti-electron three-quasiparticle atomic system it is used an relativistic energy approach. The problem is reduced to the formulation of a gauge-invariant principle of determining the electron density of the core in the atomic system (or zero-order Hamiltonian, or in the particular case, the specific parameters of the model-building with several particles of the core without the use of empirical data). Seeking the principle of optimization is reduced to minimization of the energy functional, representing the contribution of the QED PT fourth-order polarization diagrams (second-order atomic PT).

**Tags: **atomic spectra; electronic satellites of spectral lines; relativistic perturbation theory; three-quasiparticle state

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