Advanced Relativistic Energy Approach
in Electron-Collisional Spectroscopy
of Multicharged Ions in Plasmas
Alexander V. Glushkov, Vasily V. Buyadzhi, Andrey A. Svinarenko
and Eugeny V. Ternovsky
Abstract We present the fundamentals of an advanced relativistic approach, based
on the Gell-Mann and Low formalism, to studying spectroscopic characteristics of
the multicharged ions in plasmas, in particular, computing the electron-ion collision
strengths, cross-sections etc. The approach is combined with relativistic many-body
perturbation theory with the Debye shielding model Hamiltonian for electron-nuclear
and electron-electron systems. The optimized one-electron representation in the
perturbation theory zeroth approximation is constructed by means of the correct
treating the gauge dependent multielectron contribution of the lowest perturbation
theory corrections to the radiation widths of atomic levels. The computation results
on the oscillator strengths and energy shifts due to the plasmas environment effect,
the electron-collision strengths, collisional excitation and de-excitation rates for a
number of the Be- and Ne-like ions of argon, nickel and krypton embedded to
different types of plasmas environment (with temperature 0.02–2 keV and electron
density 10
16
–10
24 cm
−3 ) are presented and analyzed.
Keywords Electron-collisional processes ⋅ Multicharged ions
Relativistic energy approach ⋅ Debye plasmas
1 Introduction
An accurate data about spectra, radiative decay widths and probabilities, oscillator
strengths, electron-collision strengths, collisional excitation and de-excitation rates
for atoms and especially ions are of a great interest for different applications,
namely, astrophysical analysis, laboratory, thermonuclear plasmas diagnostics,
fusion research, laser physics etc. [1–30]. It is also very important for studying
energy, spectral and radiative characteristics of a laser-produced hot and dense
plasmas [1, 2, 9, 10]. Above other important factors to studying electron-collisional
A. V. Glushkov ( ✉ ) ⋅ V. V. Buyadzhi ⋅ A. A. Svinarenko ⋅ E. V. Ternovsky
Odessa State Environmental University, L’vovskaya str., 15, Odessa 65016, Ukraine
e-mail: glushkovav@gmail.com
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_4
55
in Electron-Collisional Spectroscopy
of Multicharged Ions in Plasmas
Alexander V. Glushkov, Vasily V. Buyadzhi, Andrey A. Svinarenko
and Eugeny V. Ternovsky
Abstract We present the fundamentals of an advanced relativistic approach, based
on the Gell-Mann and Low formalism, to studying spectroscopic characteristics of
the multicharged ions in plasmas, in particular, computing the electron-ion collision
strengths, cross-sections etc. The approach is combined with relativistic many-body
perturbation theory with the Debye shielding model Hamiltonian for electron-nuclear
and electron-electron systems. The optimized one-electron representation in the
perturbation theory zeroth approximation is constructed by means of the correct
treating the gauge dependent multielectron contribution of the lowest perturbation
theory corrections to the radiation widths of atomic levels. The computation results
on the oscillator strengths and energy shifts due to the plasmas environment effect,
the electron-collision strengths, collisional excitation and de-excitation rates for a
number of the Be- and Ne-like ions of argon, nickel and krypton embedded to
different types of plasmas environment (with temperature 0.02–2 keV and electron
density 10
16
–10
24 cm
−3 ) are presented and analyzed.
Keywords Electron-collisional processes ⋅ Multicharged ions
Relativistic energy approach ⋅ Debye plasmas
1 Introduction
An accurate data about spectra, radiative decay widths and probabilities, oscillator
strengths, electron-collision strengths, collisional excitation and de-excitation rates
for atoms and especially ions are of a great interest for different applications,
namely, astrophysical analysis, laboratory, thermonuclear plasmas diagnostics,
fusion research, laser physics etc. [1–30]. It is also very important for studying
energy, spectral and radiative characteristics of a laser-produced hot and dense
plasmas [1, 2, 9, 10]. Above other important factors to studying electron-collisional
A. V. Glushkov ( ✉ ) ⋅ V. V. Buyadzhi ⋅ A. A. Svinarenko ⋅ E. V. Ternovsky
Odessa State Environmental University, L’vovskaya str., 15, Odessa 65016, Ukraine
e-mail: glushkovav@gmail.com
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_4
55