Quantum electrodynamics of heavy ions and atoms: current status and prospects

Shabaev, V. M.

doi:10.1070/pu2008v051n11abeh006801

Cited by 10 publications

(3 citation statements)

References 74 publications

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“…With a possibility to study heavy few-electron ions experimentally, which appeared in the middle of 1980's [1], these systems became the subject of extensive theoretical investigations, for review see Refs. [2][3][4][5][6] and references therein. In contrast to light atoms and ions, where the bindingstrength parameter of the nucleus αZ (α is the fine structure constant and Z is the nuclear charge number) can be used along with α to evaluate QED effects by perturbation theory, for high-Z systems this parameter is not small and, therefore, all the calculations must be performed without any expansion in αZ.…”

Section: Introductionmentioning

confidence: 99%

Ground-state ionization energies of boronlike ions

et al. 2017

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High-precision QED calculations of the ground-state ionization energies are performed for all boronlike ions with the nuclear charge numbers in the range $16 \leqslant Z\leqslant 96$. The rigorous QED calculations are performed within the extended Furry picture and include all many-electron QED effects up to the second order of the perturbation theory. The contributions of the third- and higher-order electron-correlation effects are accounted for within the Breit approximation. The nuclear recoil and nuclear polarization effects are taken into account as well. In comparison with the previous evaluations of the ground-state ionization energies of boronlike ions the accuracy of the theoretical predictions has been improved significantly.Comment: 33 pages, 2 figure

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Section: Introductionmentioning

confidence: 99%

Ground-state ionization energies of boronlike ions

et al. 2017

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“…In many cases the precision of these calculations has reached a level that requires evaluations of quantum electrodynamics (QED) effects. To date, the rigorous calculations of the QED effects in middle-and high-Z systems are fully restricted to the 1/Z perturbation theory (see, e.g., [15][16][17][18][19] and references therein). The perturbation theory methods have been also extended to many-electron ions and atoms employing an effective screening potential instead of the Coulomb one [20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Model operator approach to the Lamb shift calculations in relativistic many-electron atoms

2013

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A model operator approach to calculations of the QED corrections to energy levels in relativistic manyelectron atomic systems is developed. The model Lamb shift operator is represented by a sum of local and nonlocal potentials which are defined using the results of ab initio calculations of the diagonal and nondiagonal matrix elements of the one-loop QED operator with H-like wave functions. The model operator can be easily included in any calculations based on the Dirac-Coulomb-Breit Hamiltonian. Efficiency of the method is demonstrated by comparison of the model QED operator results for the Lamb shifts in many-electron atoms and ions with exact QED calculations. 12.20.Ds

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“…To date, state-of-the-art QED calculations include all corrections up to the second order in α, for review see Refs. [4][5][6][7][8] and references therein. High-precision experiments to measure the binding and transition energies in highly charged ions [9][10][11][12][13][14][15][16][17][18][19][20][21][22] are sensitive to the second-order QED corrections.…”

Section: Introductionmentioning

confidence: 99%

Ionization energies along beryllium isoelectronic sequence

et al. 2015

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Ionization energies for the ground state of berylliumlike ions with nuclear charge numbers in the range Z=16-96 are rigorously evaluated. The calculations merge the ab initio QED treatment in the first and second orders of the perturbation theory in the fine-structure constant $\alpha$ with the third- and higher-order electron-correlation contributions evaluated within the Breit approximation. The nuclear recoil and nuclear polarization effects are taken into account. The accuracy of the ionization energies obtained has been significantly improved in comparison with previous calculations.Comment: 24 pages, 2 figures, 4 tables. arXiv admin note: text overlap with arXiv:1410.196

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Quantum electrodynamics of heavy ions and atoms: current status and prospects

Cited by 10 publications

References 74 publications

Ground-state ionization energies of boronlike ions

Ground-state ionization energies of boronlike ions

Model operator approach to the Lamb shift calculations in relativistic many-electron atoms

Ionization energies along beryllium isoelectronic sequence

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