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The influence of nuclear polarization on the bound-electron $g$ factor in heavy hydrogenlike ions is investigated. Numerical calculations are performed for the K- and L-shell electrons taking into account the dominant virtual nuclear…

Atomic Physics · Physics 2009-11-07 A. V. Nefiodov , G. Plunien , G. Soff

We have investigated the correction to the hyperfine structure of heavy multicharged ions, which is connected with the nuclear-polarization effect caused by the unpaired bound electron. Numerical calculations are performed for hydrogenlike…

Atomic Physics · Physics 2009-11-07 A. V. Nefiodov , G. Plunien , G. Soff

QED corrections to the $g$ factor of Li-like and B-like ions in a wide range of nuclear charges are presented. Many-electron contributions as well as radiative effects on the one-loop level are calculated. Contributions resulting from the…

Atomic Physics · Physics 2020-07-15 H. Cakir , V. A. Yerokhin , N. S. Oreshkina , B. Sikora , I. I. Tupitsyn , C. H. Keitel , Z. Harman

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in…

Atomic Physics · Physics 2015-06-17 V. A. Yerokhin , C. H. Keitel , Z. Harman

The paper presents the current status of the theory of bound-electron g factor in highly charged ions. The calculations of the relativistic, QED, nuclear recoil, nuclear structure, and interelectronic-interaction corrections to the g factor…

Atomic Physics · Physics 2015-08-04 V. M. Shabaev , D. A. Glazov , G. Plunien , A. V. Volotka

Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum…

The nuclear recoil effect on the $g$ factor of H- and Li-like heavy ions is evaluated to all orders in $\alpha Z$. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , V. M. Shabaev , D. A. Glazov , I. I. Tupitsyn

In heavy atoms and ions, nuclear structure effects are significantly enhanced due to the overlap of the electron wave functions with the nucleus. This overlap rapidly increases with the nuclear charge $Z$. We study the energy level shifts…

Atomic Physics · Physics 2021-03-17 V. V. Flambaum , I. B. Samsonov , H. B. Tran Tan , A. V. Viatkina

The nuclear recoil effect on the $g$ factor of the ground state of highly charged B-like ions is studied to first order in the electron-to-nucleus mass ratio $m/M$. The leading one-electron and two-electron recoil contributions are…

Atomic Physics · Physics 2019-01-02 I. A. Aleksandrov , D. A. Glazov , A. V. Malyshev , V. M. Shabaev , I. I. Tupitsyn

We calculate vacuum polarization corrections to the binding energies in neutral alkali atoms Na through to the superheavy element E119. We employ the relativistic Hartree-Fock method to demonstrate the importance of relaxation of the…

Atomic Physics · Physics 2016-05-04 J. S. M. Ginges , J. C. Berengut

There is renewed interest in studies of muonic atoms, which may provide detailed information on nuclear structure. A major limiting factor in the interpretation of measurements is the nuclear polarization contribution. We propose a method…

Atomic Physics · Physics 2025-06-25 J. Vandeleur , G. Sanamyan , O. R. Smits , I. A. Valuev , N. S. Oreshkina , J. S. M. Ginges

Control over quantum electrodynamics (QED) radiative corrections is critical for precise determination of neutrino oscillation probabilities from observed (anti)neutrino detection rates. It is particularly important to understand any…

High Energy Physics - Phenomenology · Physics 2022-11-23 Oleksandr Tomalak , Qing Chen , Richard J Hill , Kevin S McFarland , Clarence Wret

Fully relativistic approach is applied to evaluation of the nuclear recoil effect on the bound-electron $g$ factor in hydrogenlike ions to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in $\alpha Z$. The…

Atomic Physics · Physics 2020-01-29 A. V. Malyshev , D. A. Glazov , V. M. Shabaev

The nuclear-polarization corrections to the energy levels of highly charged ions are systematically investigated to leading order in the fine-structure constant. To this end, the notion of effective photon propagators with…

Atomic Physics · Physics 2024-03-18 Igor A. Valuev , Natalia S. Oreshkina

We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron…

Atomic Physics · Physics 2015-06-04 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all…

Atomic Physics · Physics 2015-05-28 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

The hyperfine splitting of the ground state of selected B-like ions within the range of nuclear charge numbers $Z=49-83$ is investigated in detail. The rigorous QED approach together with the large-scale configuration-interaction…

The nuclear shape correction to the g factor of a bound electron in 1S-state is calculated for a number of nuclei in the range of charge numbers from Z=6 up to Z=92. The leading relativistic deformation correction has been derived…

Atomic Physics · Physics 2015-05-30 J. Zatorski , N. S. Oreshkina , C. H. Keitel , Z. Harman

The current status of bound state quantum electrodynamics calculations of transition energies for few-electron ions is reviewed. Evaluation of one and two body QED correction is presented, as well as methods to evaluate many-body effects…

Atomic Physics · Physics 2020-01-08 Paul Indelicato

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

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