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Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

Finite nuclear size (FNS) effects on the magnetic-dipole hyperfine splitting in muonic hydrogenlike ions are investigated within a fully relativistic Dirac framework. The FNS contribution is quantified through the correction factor…

Atomic Physics · Physics 2026-05-12 Doğa Yaşar , Bastian Sikora

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

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 finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic…

Atomic Physics · Physics 2009-11-07 D. A. Glazov , V. M. Shabaev

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 finite nuclear size corrections to the relativistic recoil effect in H-like ions are calculated within the Breit approximation. The calculations are performed for the $1s$, $2s$, and $2p_{1/2}$ states in the range $Z =$ 1-110. The…

Atomic Physics · Physics 2015-11-17 I. A. Aleksandrov , A. A. Shchepetnov , D. A. Glazov , V. M. Shabaev

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

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

Atomic Physics · Physics 2017-01-02 Babak Nadiri Niri

A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated for a series of highly charged hydrogen-like ions. Firstly,…

Atomic Physics · Physics 2020-07-01 Igor A. Valuev , Zoltán Harman , Christoph H. Keitel , Natalia S. Oreshkina

The electromagnetic effects of the finite size of the nucleon are implemented self-consistently on top of the Skyrme Hartree-Fock calculation, where the electric form factors of both protons and neutrons are considered. Furthermore, the…

Nuclear Theory · Physics 2020-06-17 Tomoya Naito , Xavier Roca-Maza , Gianluca Colò , Haozhao Liang

The influence of pairing correlations on the nuclear size and in particular on the formation of nuclear halos is studied in the framework of relativistic continuum Hartree-Bogoliubov (RCHB) theory. It turns out that the contributions from…

Nuclear Theory · Physics 2013-08-09 Ying Chen , Peter Ring , Jie Meng

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

We report the first calculations of nuclear properties near the drip-lines using the spherical Hartree-Fock-Bogoliubov mean-field theory with a finite-range force supplemented by continuum and particle number projection effects.…

Nuclear Theory · Physics 2008-11-26 N. Schunck , J. L. Egido

X-ray absorption near-edge structure (XANES) provides element-specific insight into local electronic and structural environments, but quantitative interpretation of molecular XANES under periodic boundary conditions (PBC) remains…

Materials Science · Physics 2026-02-20 Yu Fujikata , Yasuji Muramatsu , Teruyasu Mizoguchi

Our model calculations performed in the frame of the Relativistic Mean Field (RMF) approach show how important are the modifications of nucleon Structure Function (SF) in Nuclear Matter (NM) above the saturation point. They originated from…

Nuclear Theory · Physics 2012-05-04 J. Rożynek

Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,\alpha)^5$ and $(Z\,\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic…

Atomic Physics · Physics 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The total two-photon decay rate of hydrogen-like ions is studied using relativistic quantum electrodynamics. In particular, we analyse how finite nuclear size and QED vacuum polarization corrections affect the decay rate. To calculate these…

Atomic Physics · Physics 2020-10-21 J. Sommerfeldt , R. A. Müller , A. V. Volotka , S. Fritzsche , A. ~Surzhykov

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

Background: Atomic spectral lines from different isotopes display a small shift in energy, commonly referred to as the line isotope shift. One of the components of the isotope shift is the field shift, which depends on the extent and the…

Atomic Physics · Physics 2016-11-03 A. Papoulia , B. G. Carlsson , J. Ekman
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