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We present recent progress in the calculation of the helium fine-structure splitting of the 2^3P_J states, based on the quantum electrodynamic theory. Apart from the complete evaluation of m\alpha^7 and m^2/M\alpha^6 corrections, we have…

Atomic Physics · Physics 2015-05-20 Krzysztof Pachucki , Vladimir A. Yerokhin

We report a calculation of the fine structure splitting in light helium-like atoms, which accounts for all quantum electrodynamical effects up to order \alpha^5 Ry. For the helium atom, we resolve the previously reported disagreement…

Atomic Physics · Physics 2015-05-18 Krzysztof Pachucki , Vladimir A. Yerokhin

Calculational results are presented for the fine-structure splitting of the 2^3P state of helium and helium-like ions with the nuclear charge Z up to 10. Theoretical predictions are in agreement with the latest experimental results for the…

Atomic Physics · Physics 2015-05-20 Krzysztof Pachucki , Vladimir A. Yerokhin

We investigate the finite nuclear mass corrections in the helium atom in order to resolve a significant disagreement between the $2^3S - 2^3P$ and $2^3S - 2^1S$ transition isotope shifts. These two transitions lead to discrepant results for…

Atomic Physics · Physics 2017-01-31 V. Patkos , V. A. Yerokhin , K. Pachucki

In order to explain discrepancies between theoretical predictions and experimental data for the helium fine structure, we check and recalculate all theoretical contributions up to orders m\alpha^7 and m^2/M\alpha^6. The previous result for…

Atomic Physics · Physics 2015-05-13 K. Pachucki , V. A. Yerokhin

Spectroscopic measurements of the helium atom are performed to high precision using an atomic beam apparatus and electro-optic laser techniques. These measurements, in addition to serving as a test of helium theory, also provide a new…

Atomic Physics · Physics 2015-06-04 Marc Smiciklas

Improved theoretical predictions for the fine-structure splitting of $2^3P_J$ levels in helium are obtained by the calculation of contributions of order $\alpha^5 Ry$. New results for transition frequencies, $\nu_{01} = 29 616 943.01(17)$…

Atomic Physics · Physics 2009-11-11 Krzysztof Pachucki

Nuclear recoil corrections of order $\alpha^6\,m^2/M$ are calculated for the lowest-lying triplet states of the helium atom. It improves the theoretical prediction for the isotope shift of the $2^3S-2^3P$ transition energy and influences…

Atomic and Molecular Clusters · Physics 2018-05-01 V. Patkos , V. A. Yerokhin , K. Pachucki

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

High Energy Physics - Phenomenology · Physics 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

We perform ab initio calculations of the QED effects of order $m\alpha^7$ for the $2^3S$ and $2^3P$ states of He-like ions. The computed effects are combined with previously calculated energies from [V. A. Yerokhin and K. Pachucki, Phys.…

Atomic Physics · Physics 2023-02-01 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

Measurements of the difference between the squared charge radii of the helion ($^3$He nucleus) and the $\alpha$-particle ($^4$He nucleus) have been characterized by longstanding tensions, recently spotlighted in the 3.6 $\sigma$ discrepancy…

Nuclear Theory · Physics 2025-08-05 Simone Salvatore Li Muli , Thomas R. Richardson , Sonia Bacca

Theory of the isotope shift of the centroid energies of light few-electron atoms is reviewed. Numerical results are presented for the isotope shift of the $2^3P$-$2^3S$ and $2^1S$-$2^3S$ transition energies of $^3$He and $^4$He. By…

Atomic Physics · Physics 2015-09-28 Vladimir A. Yerokhin , Krzysztof Pachucki

Increasing accuracy of the theory and experiment of the $n$$=$$2$ $^3$P fine structure of helium has allowed for increasingly-precise tests of quantum electrodynamics (QED), determinations of the fine-structure constant $\alpha$, and…

Atomic Physics · Physics 2023-10-27 F. Heydarizadmotlagh , T. D. G. Skinner , K. Kato , M. C. George , E. A. Hessels

High-precision spectroscopy of simple atomic systems can be used to advance the theory of atomic energy levels but can also serve as a sensitive probe of nuclear charge radii. For this last purpose, we report an improved measurement of the…

Atomic Physics · Physics 2026-02-02 K. Steinebach , J. C. J. Koelemeij , H. L. Bethlem , K. S. E. Eikema

We present a detailed derivation of the QED effects of order $\alpha^7\,m$ to the hyperfine structure (hfs) of the $^3S$ states of helium-like ions and perform numerical calculations for $^6$Li$^+$ and $^7$Li$^+$. By comparing the…

Atomic Physics · Physics 2023-10-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

Relativistic corrections to the hyperfine splitting are calculated for the triplet $2^3S_1$ state of the helium isotope He$^3$. High precision variational wave functions are employed, where the electron-electron correlations are well…

Atomic Physics · Physics 2009-11-07 Krzysztof Pachucki

The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are…

Atomic Physics · Physics 2024-12-10 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

Precise numerical calculation of radiofrequency intervals between hyperfine sublevels of the $(37,35)$ state of the antiprotonic helium-4 atom is presented. Theoretical consideration includes the QED corrections of order $m\alpha^6$ to the…

Atomic Physics · Physics 2014-02-11 Vladimir I. Korobov , Zhen-Xiang Zhong

The total energies and various bound state properties of the excited $2^1S(L = 0)-$states in two-electron helium atoms, including the ${}^{\infty}$He, ${}^4$He and ${}^3$He atoms, are determined to very high numerical accuracy. The…

Atomic Physics · Physics 2011-02-28 Alexei M. Frolov , David M. Wardlaw

For decades, improved theory and experiment of the $n=2$ $^3$P fine structure of helium have allowed for increasingly-precise tests of quantum electrodynamics, determinations of the fine-structure constant $\alpha$, and limitations on…

Atomic Physics · Physics 2018-10-10 K. Kato , T. D. G. Skinner , E. A. Hessels
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