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We recalculate the leading relativistic corrections for the ground electronic state of the hydrogen molecule using variational method with explicitly correlated functions which satisfy the interelectronic cusp condition. The new…

Chemical Physics · Physics 2017-05-31 Mariusz Puchalski , Jacek Komasa , Krzysztof Pachucki

A calculation of two-electron QED effects to all orders in the nuclear binding strength parameter $Z\alpha$ is presented for the ground and $n = 2$ excited states of helium-like ions. After subtracting the first terms of the $Z\alpha$…

Atomic Physics · Physics 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

Quantum electrodynamic effects have been systematically tested in the progression of rotational quantum states in the $X ^{1}\Sigma_{g}^{+}, v=0$ vibronic ground state of molecular hydrogen. High-precision Doppler-free spectroscopy of the…

Atomic Physics · Physics 2012-08-24 E. J. Salumbides , G. D. Dickenson , T. I. Ivanov , W. Ubachs

The quantum electrodynamic correction to the energy of the hydrogen molecule has been evaluated without expansion in the electron-proton mass ratio. The obtained results significantly improve the accuracy of theoretical predictions reaching…

Atomic Physics · Physics 2019-04-08 M. Puchalski , J. Komasa. P. Czachorowski , K. Pachucki

Precision spectroscopy of the hydrogen molecule is a test ground of quantum electrodynamics (QED), and may serve for determination of fundamental constants. Using a comb-locked cavity ring-down spectrometer, for the first time, we observed…

Atomic Physics · Physics 2018-04-18 L. -G. Tao , A. -W. Liu , K. Pachucki , J. Komasa , Y. R. Sun , J. Wang , S. -M. Hu

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

High-precision QED calculations of the ground-state ionization energies are performed for all boronlike ions with the nuclear charge numbers in the range $16 \leqslant Z\leqslant 96$. The rigorous QED calculations are performed within the…

A method for calculating the electronic levels in the compact superheavy nuclear quasi-molecules, based on solving the two-center Dirac equation using the multipole expansion of two-center potential, is developed. For the internuclear…

Atomic Physics · Physics 2018-01-18 A. A. Roenko , K. A. Sveshnikov

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

Quantum electrodynamical (QED) calculations of ionization energies of the $1snd\,D$ states are performed for the helium atom. We reproduce the previously known relativistic and QED effects up to order $m\alpha^5$ and extend the theory by…

Atomic Physics · Physics 2020-07-14 Vladimir A. Yerokhin , Vojtěch Patkóš , Mariusz Puchalski , Krzysztof Pachucki

The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \rightarrow \gamma^*/{Z^{0}}^*$ in the leading logarithmic approximation to $O(\alpha^6 L^6)$ extending the known corrections up to $O(\alpha^2…

High Energy Physics - Phenomenology · Physics 2021-04-28 J. Blümlein , A. De Freitas , K. Schönwald

We present the first demonstration of an end-to-end pipeline with quantum error correction (QEC) for a quantum computation of the electronic structure of molecular systems. We calculate the ground-state energy of molecular hydrogen, using…

The quantum electrodynamics (QED) corrections are directly incorporated into the most accurate treatment of the correlation corrections for ions with complex electronic structure of interest to metrology and tests of fundamental physics. We…

Atomic Physics · Physics 2016-12-21 I. I. Tupitsyn , M. G. Kozlov , M. S. Safronova , V. M. Shabaev , V. A. Dzuba

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

Bound-muon decays are a powerful probe of new physics, making precise theoretical predictions for their spectra essential. While QED corrections significantly affect the shape of the spectra, their calculation is extremely challenging below…

High Energy Physics - Phenomenology · Physics 2025-10-31 Duarte Fontes , Robert Szafron

The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all…

Atomic Physics · Physics 2015-05-28 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

Following detailed analysis of relativistic, QED and mass corrections for helium-like and lithium-like ions with static nuclei for $Z \leq 20$ the domain of applicability of Non-Relativistic QED (NRQED) is localized for ground state energy.…

Atomic Physics · Physics 2022-08-23 Alexander V. Turbiner , Juan Carlos Lopez Vieyra , Horacio Olivares-Pilon

The electron-electron interaction correction of first order in $1/Z$ to the one-electron part of the nuclear recoil effect on binding energies in atoms and ions is considered within the framework of the rigorous QED approach. The…

The parity-violating asymmetry, including leading-order QED corrections to the Coulomb potential, is calculated non-perturbatively by solving the Dirac equation. At GeV collision energies and forward scattering angles, QED effects enhance…

Nuclear Theory · Physics 2025-05-14 Xavier Roca-Maza , D H. Jakubassa-Amundsen

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
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