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Darwin-Foldy nuclear-size corrections in electronic atoms and nuclear radii are discussed from the nuclear-physics perspective. Interpretation of precise isotope-shift measurements is formalism dependent, and care must be exercised in…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^2. The contribution of high-energy virtual photons is treated by means of an…

Atomic Physics · Physics 2012-07-06 U. D. Jentschura

The finite-nuclear size correction to the fine structure of muonic atoms are considered. The procedure for the analytical calculation of the energies and wave functions has been derived in a homogeneously charged sphere nuclear charge…

Atomic Physics · Physics 2017-11-20 Abu Saleh Musa Patoary , Natalia S. Oreshkina

We consider one-loop self-energy and vacuum polarization radiative corrections to the shift of atomic energy level due to finite nuclear size. Analytic expressions for vacuum polarization corrections are derived. For the self-energy of p1/2…

Atomic Physics · Physics 2009-11-10 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

The use of high-precision measurements of the $g$ factor of single-electron ions is considered as a detailed probe for physics beyond the Standard Model. The contribution of the exchange of a hypothetical force-carrying scalar boson to the…

Atomic Physics · Physics 2025-12-22 Matteo Moretti , Christoph H. Keitel , Zoltán Harman

Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations,…

The influence of pressure on finite-nuclear-size corrections to atomic energy levels and electron-capture decay rate is investigated in confined hydrogenlike ions. The ions are modeled inside an impenetrable spherical cavity, with a…

Atomic Physics · Physics 2026-05-08 Dengshan Liu , Huihui Xie , Pengxiang Du , Tianshuai Shang , Jian Li , Jiguang Li , Tomoya Naito

We calculate the one-loop electron self-energy correction of order $\alpha\,(Z\,\alpha)^5$ to the bound electron $g$ factor. Our result is in agreement with the extrapolated numerical value and paves the way for the calculation of the…

Atomic Physics · Physics 2017-09-13 Krzysztof Pachucki , Mariusz Puchalski

Theoretical calculations of the interelectronic-interaction and QED corrections to the $g$ factor of the ground state of boronlike ions are presented. The first-order interelectronic-interaction and the self-energy corrections are evaluated…

Atomic Physics · Physics 2019-01-09 V. A. Agababaev , D. A. Glazov , A. V. Volotka , D. V. Zinenko , V. M. Shabaev , G. Plunien

The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Z\alpha expression for the recoil shift of the energy, I calculate the order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Yelkhovsky

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

The muonic vacuum polarization contribution to the $g$-factor of the electron bound in a nuclear potential is investigated theoretically. The electric as well as the magnetic loop contributions are evaluated. We found these muonic effects…

Atomic Physics · Physics 2016-10-06 N. A. Belov , B. Sikora , R. Weis , V. A. Yerokhin , S. Sturm , K. Blaum , C. H. Keitel , Z. Harman

The nuclear recoil effect on the g factor of highly charged Li-like ions is evaluated in the range Z=10-92. The calculations are performed using the 1/Z perturbation theory. The one-electron recoil contribution is evaluated within the fully…

Atomic Physics · Physics 2018-10-02 V. M. Shabaev , D. A. Glazov , A. V. Malyshev , I. I. Tupitsyn

We investigate electron-correlation effects in the $g$-factor of the ground state of Li-like ions. Our calculations are performed within the nonrelativistic quantum electrodynamics (NRQED) expansion up to two leading orders in the…

Atomic Physics · Physics 2017-07-05 V. A. Yerokhin , K. Pachucki , M. Puchalski , Z. Harman , C. H. Keitel

The nuclear recoil effect on the $^2 P_{3/2}$-state $g$ factor of B-like ions is calculated to first order in the electron-to-nucleus mass ratio $m/M$ in the range $Z=18$--$92$. The calculations are performed by means of the $1/Z$…

Atomic Physics · Physics 2020-05-20 A. V. Malyshev , D. A. Glazov , I. A. Aleksandrov , I. I. Tupitsyn , V. M. Shabaev

A detailed description of the numerical procedure is presented for the evaluation of the one-loop self-energy correction to the $g$-factor of an electron in the $1s$ and $2s$ states in H-like ions to all orders in $Z\alpha$.

Atomic Physics · Physics 2007-05-23 Paul Indelicato , V. A. Yerokhin , V. Shabaev

We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki , Vladimir A. Yerokhin

The influence of the blackbody radiation field on the $g$-factor of light hydrogenlike ions is considered within the framework of quantum electrodynamics at finite temperature for bound states. One-loop thermal corrections are examined for…

Atomic Physics · Physics 2022-01-19 T. Zalialiutdinov , D. Glazov , D. Solovyev

The screened QED corrections to the g factor of Li-like ions are evaluated utilizing an effective potential approach. The evaluation is performed within the range of nuclear charge numbers Z=32-92. The results obtained serve for improving…

Atomic Physics · Physics 2007-05-23 D. A. Glazov , A. V. Volotka , V. M. Shabaev , I. I. Tupitsyn , G. Plunien