Advanced relativistic model potential approach to calculation of radiation transition parameters in spectra of multicharged ions

Свинаренко, А. А.; Ignatenko, Anna V.; Ternovsky, V. B.; Nikola, V V; Seredenko, S. S.; Tkach, T. B.

doi:10.1088/1742-6596/548/1/012047

Cited by 15 publications

(15 citation statements)

References 25 publications

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“…The detailed expressions for the Coulomb and Breit parts and the corresponding radial R l and angular S l integrals can be found in Refs. [22][23][24][25][26][27][28][29][30][31][32].The total probability of a l -pole transition is usually represented as a sum of the electric E P l and magnetic M P l parts. The electric (or magnetic) l -pole transition g d → connects two states with parities which by l ( or l +1) units.…”

Section: The Theoretical Methodsmentioning

confidence: 99%

Relativistic Calculation of Oscillator Strengths of the Radiation Transitions Between Barium Rydberg States

et al. 2017

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The combined relativistic energy approach and relativistic many-body perturbation theory with the zeroth order Dirac-Kohn-Sham one-particle approximation are used for preliminary estimating the energies and oscillator strengths of radiative transitions from the ground state to the low-excited and Rydberg states, in particular, 6s2 -6snp (n =7-30) transitions, of the barium atom. The comparison of the calculated oscillator strengths with available theoretical and experimental (compillated) data is performed. The important point is linked with non-accounting for the polarization effect contribution into the oscillator strength value that has led to ~40% difference between the empirical (compillated) and theoretical data.

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Section: The Theoretical Methodsmentioning

confidence: 99%

Relativistic Calculation of Oscillator Strengths of the Radiation Transitions Between Barium Rydberg States

et al. 2017

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“…In Ref, [7] it has been presented approach, based on solution of the 2-dimensional Schrödinger equation for an atomic system in adequate forms for the core potential (c.f. [25][26][27]). According to standard quantum defect theory (c.f.…”

Section: Methods Of Operator Perturbation Theorymentioning

confidence: 99%

Advanced Data for Hydrogen Atom in Crossed Electric and Magnetic Fields

Gurskaya¹,

Игнатенко²,

Kvasikova³

et al. 2017

Photoelectronics

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Spectroscopy of atoms in the crossed external electric and magnetic fields is investigated on the basis of the operator perturbation theory. As a novel element within the operator perturbation theory, we use more flexible functions for model function, which imitates an electric field. In a case of the crossed electric and magnetic fields we develop more effective finite differences numerical scheme. As illustration, some advanced data for the hydrogen atom in the electric and crossed external electric and magnetic fields are listed. Advanced data for hydrogen atom are listed.

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“…There have been sufficiently many reports of theoretical and experimental studies of energies and oscillator strengths for the Li-like ions and other alkali-like ions (see, for example, [7][8][9][10][11][12][13][14][15]). Banglin Deng et al [12] presented the calculated wavelengths, oscillator strengths, transition probabilities, and line strengths for Li-like ions (Z = 7-30) in the framework of the relativistic configuration-interaction formalism using MCDF wave functions and considering the Breit interaction, QED and nuclear mass corrections.…”

Section: Introductionmentioning

confidence: 99%

“…The relativistic quantum defect method has been used by Martin et al [55] to calculate the oscillator strengths for a number of radiative transitions between low-lying states in the Lilike ions for Z < 45. The energy levels and hy-perfine constants of neutral lithium were studied by Lindgren [9] within a nonrelativistic coupledcluster method, by Guan-Wang [47] within the effective operator form of MBPT etc. Relativistic all-order MBPT calculations of energies and matrix elements for Li and Be+ were reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

Khetselius

Mykhailov²,

Ефимова³

et al. 2018

Photoelectronics

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The relativistic many-body perturbation theory with the optimized Dirac-Kohn-Sham zeroth approximation is applied to calculation of the radiative transitions wavelengths and oscillator strengths for some Li-like multicharged ions. The relativistic, exchange-correlation and other corrections are accurately taken into account. The optimized relativistic orbital basis set is generated in the optimal many-body perturbation theory approximation with fulfilment of the gauge invariance principle. An accurate treatment of the QED perturbation theory fourth order (a second order of the atomic perturbation theory) Feynman diagrams (whose contribution into the energy shift imaginary part (radiation width) for the multi-electron atoms accounts for multi-body correlation effects) is performed. The obtained data on the radiative transition wavelengths and oscillator strengths for some transition in spectra of the Li-like multicharged ions are analyzed and compared with alternative theoretical and experimental results.

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Advanced relativistic model potential approach to calculation of radiation transition parameters in spectra of multicharged ions

Cited by 15 publications

References 25 publications

Relativistic Calculation of Oscillator Strengths of the Radiation Transitions Between Barium Rydberg States

Relativistic Calculation of Oscillator Strengths of the Radiation Transitions Between Barium Rydberg States

Advanced Data for Hydrogen Atom in Crossed Electric and Magnetic Fields

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

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