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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

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

We revisit the $m \alpha^6 (m/M)$ order corrections to the hyperfine splitting in the H$_2^+$ ion, and find a hitherto unrecognized second-order relativistic contribution associated with the vibrational motion of the nuclei. Inclusion of…

The ground state hyperfine splitting of light muon-electron ions of lithium, beryllium, boron and helium is calculated on the basis of analytical perturbation theory in terms of small parameters of the fine structure constant and…

High Energy Physics - Phenomenology · Physics 2022-05-11 R. N. Faustov , V. I. Korobov , A. P. Martynenko , F. A. Martynenko

Parity-violating polarized electron scattering from nucleons and nuclei provides an excellent tool to extract valuable information on nuclear and nucleon structure, as well as to determine Standard Model couplings and higher-order radiative…

Nuclear Theory · Physics 2015-04-15 O. Moreno , T. W. Donnelly , R. González-Jiménez , J. A. Caballero

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 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…

Atomic Physics · Physics 2020-04-21 V. P. Kosheleva , A. V. Volotka , D. A. Glazov , S. Fritzsche

Calculations of the magnetic hyperfine structure rely on the input of nuclear properties -- nuclear magnetic moments and nuclear magnetization distributions -- as well as quantum electrodynamic (QED) radiative corrections for high-accuracy…

Atomic Physics · Physics 2018-09-19 J. S. M. Ginges , A. V. Volotka

The calculation of hadronic polarizability contribution of the nucleus to hyperfine structure of muonic hydrogen and helium is carried out within the unitary isobar model and experimental data on the polarized structure functions of deep…

High Energy Physics - Phenomenology · Physics 2017-11-03 A. V. Eskin , A. P. Martynenko , E. N. Elekina

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

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

The largest uncertainty in calculations of hydrogen ground-state hyperfine splitting comes from corrections due to proton stucture. We review these corrections, with special mention of the inelastic, or polarizability, corrections which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl E. Carlson

We present a computation of nucleon mass corrections to nucleon structure functions for polarized deep-inelastic scattering. We perform a fit to existing data including mass corrections at first order in $m^2/Q^2$ and we study the effect of…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Piccione , G. Ridolfi

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

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

We present tables for the bound-state energies for atomic hydrogen. The tabulated energies include the hyperfine structure, and thus this work extends the work of Rev. Mod. Phys. {\bf 84}, 1527 (2012), which excludes hyperfine structure.…

Atomic Physics · Physics 2016-03-02 M. Horbatsch , E. A. Hessels

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle…

Atomic Physics · Physics 2007-05-23 A. A. Elizarov , V. M. Shabaev , N. S. Oreshkina , I. I. Tupitsyn

We numerically study models of $\mathrm{H}_2$ and $\mathrm{LiH}$ molecules, aligned collinearly with the linear polarization of the external field, to elucidate the possible role of correlation in the enhanced-ionization phenomena.…

Atomic Physics · Physics 2016-01-06 S. Chattopadhyay , S. Bauch , L. B. Madsen

Finite nuclear mass $(Z\,\alpha)^2\,m/M\,E_F$ corrections to the hyperfine splitting in hydrogenic systems are calculated using a combined relativistic heavy particle and nonrelativistic quantum electrodynamics. The obtained results are in…

Atomic Physics · Physics 2026-03-24 Jakub Hevler , Andrzej Maroń , Krzysztof Pachucki

Theoretical investigations of the hyperfine structure of the hydrogen molecular ion (one electron and two protons) are discussed. The nuclear spin-rotation interaction has been found to be of the same sign as in the hydrogen molecule and…

Atomic Physics · Physics 2008-02-03 J. F. Babb