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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 accurate determination of atomic masses and the high-precision measurement of the bound-electron g factor are prerequisites for the determination of the electron mass, which is one of the fundamental constants of nature. In the 2002…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura , A. Czarnecki , K. Pachucki , V. A. Yerokhin

Accurate calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms are presented. Numerical results are reported for the $ns$ states with $n \leq 5$ and for the $2p_{1/2}$ and $2p_{3/2}$ states. The calculations are…

Atomic Physics · Physics 2016-08-03 V. A. Yerokhin , V. M. Shabaev

In the limit of large nuclear charge, $Z\gg 1$, or small lepton velocity, $\beta \ll 1$, Coulomb corrections to nuclear beta decay and related processes are enhanced as $Z\alpha/\beta$ and become large or even non-perturbative (with…

High Energy Physics - Phenomenology · Physics 2024-09-04 Richard J. Hill , Ryan Plestid

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

The self-energy screening correction is evaluated in a model in which the effect of the screening electron is represented as a first-order perturbation of the self energy by an effective potential. The effective potential is the Coulomb…

Atomic Physics · Physics 2009-11-06 P. Indelicato , Peter J. Mohr

High-precision knowledge of electromagnetic form factors of nuclei is a subject of much current experimental and theoretical activity in nuclear and atomic physics. Such precision mandates that effects of the non-zero spatial extent of the…

Nuclear Theory · Physics 2019-12-11 Gerald A. Miller

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The nuclear recoil effect, known also as the mass shift, is one of theoretical contributions to the energy levels in muonic atoms. Accurate theoretical predictions are therefore needed for extracting e.g. the nuclear charge radii from…

Atomic Physics · Physics 2023-12-08 Vladimir A. Yerokhin , Natalia S. Oreshkina

The measurement of the 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition in muonic hydrogen by Pohl et al. and subsequent analysis has led to the conclusion that the rms radius of the proton differs from the accepted (CODATA) value by…

Atomic Physics · Physics 2011-08-15 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

We present an expression for the operator of the electric quadrupole hyperfine interaction which takes into account finite nuclear size. We compare the results obtained with the use of this operator with those obtained in the standard…

Atomic Physics · Physics 2023-05-03 V. A. Dzuba , V. V. Flambaum

Nuclear-size corrections of order $(Z \alpha)^5$ and $(Z \alpha)^6$ to the S-state levels of hydrogenic atoms are considered. These nuclear-elastic contributions are somewhat smaller than the polarizability (nuclear-inelastic) corrections…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , G. L. Payne

We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the…

Atomic Physics · Physics 2025-02-07 M. G. Kozlov , M. Y. Kaygorodov , Yu. A. Demidov , V. A. Yerokhin

We examine how corrections to $S$-state energy levels, $ E_{nS}$, in hydrogenic atoms due to the finite proton size are affected by moments of the proton charge distribution. The corrections to $E_{nS}$ are computed moment by moment. The…

High Energy Physics - Phenomenology · Physics 2016-01-27 Jesse R. Stryker , Gerald A. Miller

We demonstrated the cancellation of the external magnetic field by the nuclear field at one edge of the nuclear polarization bistability in single InAlAs quantum dots. The cancellation for the electron Zeeman splitting gives the precise…

Materials Science · Physics 2009-11-13 R. Kaji , S. Adachi , H. Sasakura , S. Muto

In order to measure the charge form factor of the neutron, $G^n_E(Q^2)$, one needs to use a neutron bound in a nuclear target. We calculate the change in the form factor for a neutron bound in $^3He$, with respect to the free case, using…

Nuclear Theory · Physics 2010-02-17 D. H. Lu , K. Tsushima , A. W. Thomas , A. G. Williams , K. Saito

Probability of finding negative energy states in a hydrogen atom is decreased when the nucleus is extended. Reduced electron Compton wavelength is the characteristic size of the region around the nucleus where negative energy contributions…

High Energy Physics - Phenomenology · Physics 2022-07-18 Andrzej Czarnecki

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…

Within a fully relativistic framework, the one-loop self-energy correction for a bound electron is derived and extended to incorporate the effects of external thermal radiation. In a series of previous works, it was shown that in quantum…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , D. A. Solovyev , A. A. Bobylev , D. A. Glazov , T. A. Zalialiutdinov
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