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Related papers: Finite Nuclear Size Corrections on Hyperfine Struc…

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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

The finite nuclear size corrections to the ground state energies and g-factors in muonic atoms are investigated for several elements. Both approximative and exact solutions of the one-particle Dirac equation with both the homogeneous sphere…

Atomic Physics · Physics 2023-11-29 Atakan Çavuşoğlu , Bastian Sikora

The finite-nuclear-size (FNS) effect has a large contribution to the atomic spectral properties especially for heavy nuclei. By adopting the microscopic nuclear charge density distributions obtained from the relativistic continuum…

Nuclear Theory · Physics 2023-09-28 Hui Hui Xie , Jian Li , Li Guang Jiao , Yew Kam Ho

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 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 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

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

The study of highly charged electronic and muonic hydrogen-like ions, provides an intriguing way to probe the internal structure of their atomic nuclei. In this work, we use nuclear structure calculations to accurately calculate the…

Precision spectroscopy of hyperfine splitting (HFS) is a crucial tool for investigating the structure of nuclei and testing quantum electrodynamics (QED). However, accurate theoretical predictions are hindered by two-photon exchange (TPE)…

Nuclear Theory · Physics 2023-11-23 Chen Ji , Xiang Zhang , Lucas Platter

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

On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order $\alpha^5$ and $\alpha^6$ to hyperfine structure of S-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum…

High Energy Physics - Phenomenology · Physics 2014-07-30 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin

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

Recent progress in laser and x-ray spectroscopy of muonic atoms offers promising long-term possibilities at the intersection of atomic, nuclear and particle physics. In muonic hydrogen, laser spectroscopy measurements will determine the…

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

We consider corrections to the Lamb shift of p-wave atomic states due to the finite nuclear size (FNS). In other words, these are radiative corrections to the atomic isotop shift related to FNS. It is shown that the structure of the…

Atomic Physics · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

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

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

Atomic Physics · Physics 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

Electroweak second order shifts of muonium ($\mu^+e^-$ bound state) energy levels are calculated for the first time. Calculation starts from on-shell one-loop elastic $\mu^+ e^-$ scattering amplitudes in the center of mass frame, proceed to…

High Energy Physics - Phenomenology · Physics 2018-10-15 T. Asaka , M. Tanaka , K. Tsumura , M. Yoshimura

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha(Z\alpha)^5$ to the hyperfine structure of S-wave energy levels in muonic hydrogen and muonic deuterium.…

High Energy Physics - Phenomenology · Physics 2015-06-18 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin

Corrections of orders alpha^5 and alpha^6 are calculated in the hyperfine splittings of 1S and 2S - energy levels in the ion of muonic helium. The electron vacuum polarization effects, the nuclear structure corrections and recoil…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Martynenko
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