Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth

Андреев, О. В.; Glazov, D. A.; Volotka, A. V.; Shabaev, V. M.; Plunien, G.

doi:10.1103/physreva.85.022510

Cited by 21 publications

(18 citation statements)

References 48 publications

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“…The electric-field-induced U el VP and the magnetic-field-induced U ml VP vacuum polarization potentials are defined in a similar way as in Ref. [50]. In order to regularize the ultraviolet divergence terms one has to decompose these potentials into the Uehling and the Wichmann-Kroll parts.…”

Section: Qed Radiative Correctionsmentioning

confidence: 99%

Ground-state hyperfine splitting for Rb, Cs, Fr, Ba+ , and Ra+

2017

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We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms 87 Rb, 133 Cs, and 211 Fr and alkali-metal-like ions 135 Ba + and 225 Ra + , which are of particular interest for parity violation studies. The quantum electrodynamic one-loop radiative corrections have been rigorously evaluated within an extended Furry picture employing core-Hartree and Kohn-Sham atomic potentials. Moreover, the effect of the nuclear magnetization distribution on the hyperfine structure intervals has been studied in detail and its uncertainty has been estimated. Finally, the theoretical description of the hyperfine structure has been completed with full many-body calculations performed in the all-orders correlation potential method.

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Section: Qed Radiative Correctionsmentioning

confidence: 99%

Ground-state hyperfine splitting for Rb, Cs, Fr, Ba+ , and Ra+

2017

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“…The screened vacuum‐polarization contribution has been evaluated in the free‐loop approximation in Refs. , and later the major part of the diagrams has been calculated to all orders in

α Z

. Presently, only the last two diagrams in Fig.…”

Section: Hyperfine Structurementioning

confidence: 99%

Progress in quantum electrodynamics theory of highly charged ions

et al. 2013

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Recent progress in quantum electrodynamics (QED) calculations of highly charged ions is reviewed. The theoretical predictions for the binding energies, the hyperfine splittings, and the g factors are presented and compared with available experimental data. Special attention is paid to tests of bound-state QED at strong field regime. Future prospects for tests of QED at the strongest electric and magnetic fields as well as for determination of the fine structure constant and the nuclear magnetic moments with heavy ions are discussed.

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“…For many-electron systems, the QED contributions were evaluated by using local screening potential approximation-the so-called extended Furry picture, which implies an additional effective local screening potential in the zero-order Hamiltonian. Lately, the two-electron self-energy [32,33] and a major part of the twoelectron vacuum-polarization [34] corrections were calculated in the framework of the QED approach which yields the correct result to all orders in αZ (α is the fine structure constant, Z is the nuclear charge number). The existing theoretical calculations of electronic correlations are based on the multiconfiguration Dirac-Fock [35], all-orders correlation potential [36,37], configuration interaction [38][39][40], many-body [41], or QED perturbation theory methods.…”

Section: Introductionmentioning

confidence: 99%

Many-electron effects in the hyperfine splitting of lithiumlike ions

Kosheleva

Volotka

Glazov

et al. 2020

Phys. Rev. Research

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The rigorous QED evaluation of the one-and two-photon exchange corrections to the ground-state hyperfine splitting in Li-like ions is presented for the wide range of nuclear charge number Z = 7-82. The calculations are carried out in the framework of the extended Furry picture, i.e., with the inclusion of the effective local screening potential in the zeroth-order approximation. The interelectronic-interaction contributions of the third and higher orders are taken into account in the framework of the Breit approximation employing the recursive perturbation theory. In comparison to the previous theoretical calculations, the accuracy of the interelectronic-interaction contributions to the ground-state hyperfine splitting in Li-like ions is substantially improved.

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Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth

Cited by 21 publications

References 48 publications

Ground-state hyperfine splitting for Rb, Cs, Fr, Ba+ , and Ra+

Ground-state hyperfine splitting for Rb, Cs, Fr, Ba+ , and Ra+

Progress in quantum electrodynamics theory of highly charged ions

Many-electron effects in the hyperfine splitting of lithiumlike ions

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