A. V. Glushkov, I. S. Cherkasova, V. B. Ternovsky, A. A. Svinarenko


Theoretical studying spectroscopic characteristics of the Ne-like multicharged ions is carried out within the relativistic many-body perturbation theory and generalized relativistic energy approach.  The zeroth approximation of the relativistic perturbation theory is provided by the optimized Dirac-Kohn-Sham ones. Optimization has been fulfilled by means of introduction of the parameter to the Kohn-Sham exchange potentials and further minimization of the gauge-non-invariant contributions into radiation width of atomic levels with using relativistic orbital set, generated by the corresponding zeroth approximation Hamiltonian.

Ключові слова

Relativistic perturbation theory; optimized zeroth approximation; Ne-like multicharged ions

Повний текст:



Ivanova, E., Glushkov, A. Theoretical investigation of spectra of multicharged ions of F-like and Ne-like isoelectronic sequences. J. Quant. Spectr. and Rad. Tr. 1986, 36(2), 127-145.

Ivanova, E.P., Ivanov, L.N., Glushkov, A., Kramida, A. High order corrections in the relativistic perturbation theory with the model zeroth approximation, Mg-Like and Ne-Like Ions. Phys. Scripta 1985, 32, 513-522.

Safronova, U., Cowan, T., Safronova, M. Relativistic many-body calculations of electric-dipole lifetimes, transition rates and oscillator strengths for 2l−13l′ states in Ne-like ions. J. Phys. B: At., Mol. and Opt. Phys. 2005, 38(15), 2741–2763.

Glushkov, A.V., Khetselius, O.Yu., Svinarenko, A.A., Buyadzhi, V.V., Spectroscopy of autoionization states of heavy atoms and multiply charged ions. TEC: Odessa, 2015.

Glushkov, A.V. Relativistic Quantum theory. Quantum mechanics of atomic systems. Astroprint: Odessa, 2008.

Khetselius, O.Yu. Hyperfine structure of atomic spectra. Astroprint: 2008.

Khetselius, O.Yu. Quantum structure of electroweak interaction in heavy finite Fermi-systems. Astroprint: Odessa, 2011.

Glushkov, A.V. Operator Perturbation Theory for Atomic Systems in a Strong DC Electric Field. In Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology. Springer: Cham, 2013, 27, 161–177.

Buyadzhi, V., Zaichko P., Antoshkina, O., Kulakli T., Prepelitsa, P., Ternovsky, V., Mansarliysky V. Computing of radiation parameters for atoms and multicharged ions within relativistic energy approach: Advanced Code. J. Phys.: Conf. Ser. 2017, 905(1), 012003.

Glushkov, A.V., Gurskaya, M.Yu., Ignatenko, A., Smirnov, A., Serga, I.N., Svinarenko, A., Ternovsky, E. Computational code in atomic and nuclear quantum optics: Advanced computing multiphoton resonance parameters for atoms in a strong laser field. J. Phys: C Ser. 2017, 905, 012004.

Svinarenko, A.A., Ternovsky, V.B., Cherkasova I., Mironenko D. Theoretical studying spectra of ytterbium atom on the basis of relativistic many-body perturbation theory: doubly excited states. Photoelectr. 2018, 27, 113-120.

Ivanov, L.N., Ivanova, E.P., Knight, L. Energy approach to consistent QED theory for calculation of electron-collision strengths: Ne-like ions. Phys. Rev. A. 1993, 48, 4365-4374.

Glushkov, A., Ivanov, L., Ivanova, E.P. Autoionization Phenomena in Atoms. Moscow Univ. Press, Moscow, 1986, 58.

Glushkov, A., Ivanov, L. Radiation decay of atomic states: atomic residue polarization and gauge noninvariant contributions. Phys.Lett.A.1992, 170, 33.

Glushkov A.V., Ivanov, L.N. DC strong-field Stark effect: consistent quantum-mechanical approach. J. Phys. B: At. Mol. Opt. Phys. 1993, 26, L379-386.

Glushkov, A.V. Relativistic and Correlation Effects in Spectra of Atomic Systems. Astroprint: 2006.

Glushkov, A.V. Relativistic polarization potential of a many-electron atom. Sov. Phys. Journal. 1990, 33(1), 1-4.

Glushkov, A.V. Advanced relativistic energy approach to radiative decay processes in multielectron atoms and multicharged ions. In Quantum Systems in Chemistry and Physics: Progress in Methods and Applications. Springer: Dordrecht, 2012, 26, 231–252.

Glushkov, A.V. Energy approach to resonance states of compound superheavy nucleus and EPPP in heavy nuclei collisions. In Low Energy Antiproton Physics. AIP: New York, AIP Conf. Proc. 2005, 796, 206-210.

Glushkov, A. Spectroscopy of coope-rative muon-gamma-nuclear processes: Energy and spectral parameters J. Phys.: Conf. Ser. 2012, 397, 012011.

Khetselius O. Spectroscopy of cooperative electron-gamma-nuclear processes in heavy atoms: NEET effect J. Phys.: Conf. Ser. 2012, 397, 012012.

Glushkov, A.V. Spectroscopy of atom and nucleus in a strong laser field: Stark effect and multiphoton resonances. J. Phys.: Conf. Ser. 2014, 548, 012020

Glushkov, A., Svinarenko, A., Ternovsky, V., Smirnov, A., Zaichko, P. Spectroscopy of the complex auto ionization resonances in spectrum of helium. Photoelectr. 2015, 24, 94-102.

Glushkov, A. Multiphoton spectroscopy of atoms and nuclei in a laser field: Relativistic energy approach and radiate-on atomic lines moments method. Adv. in Quantum Chem. 2019, 78, 253-285.

Khetselius, O.Yu. Optimized relativistic many-body perturbation theory calculation of wavelengths and oscillator strengths for Li-like multicharged ions. Adv. Quant. Chem. 2019, 78, 223-251.

Glushkov, A., Loboda, A., Gurnitskaya, E., Svinarenko, A. QED theory of radiation emission and absorption lines for atoms in a strong laser field. Phys. Scripta. 2009, T135, 014022.

Florko, T.A., Tkach, T.B., Ambrosov, S.V., Svinarenko, A.A. Collisional shift of the heavy atoms hyperfine lines in an atmosphere of the inert gas. J. Phys.: Conf. Ser. 2012, 397, 012037.

Buyadzhi, V. Laser multiphoton spectro scopy of atom embedded in Debye plasmas: multiphoton resonances and transitions. Photoelectr. 2015, 24, 128.

Buyadzhi, V.V., Chernyakova, Yu.G., Smirnov, A.V., Tkach, T.B. Electron-collisional spectroscopy of atoms and ions in plasma: Be-like ions. Photoelectronics. 2016, 25, 97-101.

Buyadzhi, V.V., Chernyakova, Yu.G., Antoshkina, O., Tkach, T. Spectroscopy of multicharged ions in plasmas: Oscillator strengths of Be-like ion Fe. Photoelectronics. 2017, 26, 94-102.

Khetselius, O.Yu. Relativistic Energy Approach to Cooperative Electron-γ-Nuclear Processes: NEET Effect. In Quantum Systems in Chem. and Phys., Springer: Dordrecht, 2012, 26, 217-229.

Svinarenko, A. Study of spectra for lanthanides atoms with relativistic many- body perturbation theory: Rydberg resonances. J. Phys.: Conf. Ser. 2014, 548, 012039.

Khetselius, O.Yu. Relativistic perturbation theory calculation of the hyperfine structure parameters for some heavy-element isotopes. Int. Journ. Quant. Chem. 2009, 109, 3330-3335.

Khetselius, O.Yu. Relativistic calculation of the hyperfine structure parameters for heavy elements and laser detection of the heavy isotopes. Phys.Scripta. 2009, 135, 014023.

Khetselius, O. Optimized perturbation theory for calculating the hyperfine line shift and broadening of heavy atoms in a buffer gas. In Frontiers in Quantum Methods and Applications in Chemistry and Physics. Springer, 2015, 29, 55-76.

Svinarenko, A. A., Glushkov, A. V., Khetselius, O.Yu., Ternovsky, V.B., Dubrovskaya, Yu., Kuznetsova, A., Buyadzhi, V. Theoretical spectroscopy of rare-earth elements: spectra and autoionization resonances. Rare Earth Element (InTech). 2017, pp 83-104.

Glushkov, A.V., Khetselius, O.Yu., Svinarenko, A.A., Buyadzhi, V.V., Ternovsky, V., Kuznetsova, A.A., Bashkarev P. Relativistic perturbation theory formalism to computing spectra and radiation characteristics: application to heavy element. Recent Studies in Perturbation Theory. InTech. 2017, 131.

Glushkov A., Svinarenko, A., Ignatenko, A.V. Spectroscopy of autoionization resonances in spectra of the lanthanides atoms. Photoelectr. 2011, 20, 90-94.

Dubrovskaya, Yu., Khetselius, O.Yu., Vitavetskaya, L., Ternovsky, V., Serga, I. Quantum chemistry and spectroscopy of pionic atomic systems with accounting for relativistic, radiative, and strong interaction effects. Adv. Quantum Chem. 2019, 78, 193-222.

Khetselius, O.Yu., Glushkov, A.V., Dubrovskaya, Yu.V., Chernyakova, Yu., Ignatenko, A., Serga, I., Vitavetskaya, L. Relativistic quantum chemistry and spectroscopy of exotic atomic systems with accounting for strong interaction effects. In Concepts, Methods and Applications of Quantum Systems in Chem. and Phys. Springer, 2018, 31, 71.

Ambrosov S., Ignatenko V., Korchevsky D., Kozlovskaya V. Sensing stochastici-ty of atomic systems in crossed electric and magnetic fields by analysis of level statistics for continuous energy spectra. Sensor Electr. and Microsyst. Techn. 2005, Issue 2, 19-23.

Glushkov, A., Buyadzhi, V., Kvasikova, A., Ignatenko, A., Kuznetsova, A., Prepelitsa, G., Ternovsky, V. Non-linear chaotic dynamics of quantum systems: Molecules in an electromagnetic field and laser systems. In: Quantum Systems in Phys., Chem. and Biology. Springer, Cham. 2017, 30, 169-180.

Glushkov A., Khetselius, O., Svinarenko A. Theoretical spectroscopy of auto ionization resonances in spectra of lanthanides atoms. Phys. Scripta. 2013, T153, 014029.

Glushkov A., Khetselius O., Svinarenko A, Buyadzhi V, Methods of computational mathematics and mathematical physics. P1. TES: Odessa, 2015.

Creative Commons License
Ця робота ліцензована Creative Commons Attribution-NonCommercial 4.0 International License.

ISSN: 0235-2435 (Print)