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相关论文: Nonradiative $\alpha^7m$ QED effects in Lamb shift…

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We present a derivation of the last unknown part of the $\alpha^7m$ contribution to the Lamb shift of a two-electron atom, induced by the radiative QED effects beyond the Bethe logarithm. This derivation is performed in the framework of…

原子物理 · 物理学 2021-01-13 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

We have derived the complete formula for the $\alpha^7\,m$ contribution to energy levels of an arbitrary triplet state of the helium atom, performed numerical calculations for the $2^3S$ and $2^3P$ states, and thus improved the theoretical…

原子物理 · 物理学 2021-04-14 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

原子物理 · 物理学 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

We have calculated the energy levels of the hydrogen atom and as well the Lamb shift within the noncommutative quantum electrodynamics theory. The results show deviations from the usual QED both on the classical and on the quantum levels.…

高能物理 - 理论 · 物理学 2009-10-07 M. Chaichian , M. M. Sheikh-Jabbari , A. Tureanu

Theoretical calculations of the Lamb shift provide the basis required for the determination of the Rydberg constant from spectroscopic measurements in hydrogen. The recent high-precision determination of the proton charge radius drastically…

原子物理 · 物理学 2019-08-19 Vladimir A. Yerokhin , Krzysztof Pachucki , Vojtech Patkos

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.…

原子物理 · 物理学 2023-02-01 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

The technique of quantum electrodynamics (QED) calculations of energy levels in the helium atom is reviewed. The calculations start with the solution of the Schr\"odinger equation and account for relativistic and QED effects by perturbation…

原子物理 · 物理学 2021-07-14 Vladimir A. Yerokhin , Vojtech Patkos , Krzysztof Pachucki

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…

原子物理 · 物理学 2020-07-14 Vladimir A. Yerokhin , Vojtěch Patkóš , Mariusz Puchalski , Krzysztof Pachucki

Calculation of higher-order two-loop corrections is now a limiting factor in development of the bound state QED theory of the Lamb shift in the hydrogen atom and in precision determination of the Rydberg constant. Progress in the study of…

原子物理 · 物理学 2007-05-23 Vladimir G. Ivanov , Savely G. Karshenboim

We perform quantum electrodynamic calculations of the ionization energy of the $1s3d$ states of the $^4$He atom, including a complete evaluation of the $m\alpha^6$ correction. We find a large contribution from the nonradiative part of this…

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…

原子物理 · 物理学 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

We consider the $1s$ Lamb shift in hydrogen and helium ions, a quantity, required for an accurate determination of the Rydberg constant and the proton charge radius by means of hydrogen spectroscopy, as well as for precision tests of the…

Nonrelativistically forbidden, single-photon transition rates between low lying states of the helium atom are rigorously derived within quantum electrodynamics theory. Equivalence of velocity and length gauges, including relativistic…

原子物理 · 物理学 2009-11-07 Grzegorz Lach , Krzysztof Pachucki

In view of the future plans to measure the Lamb shift in muonic Lithium atoms we address the microscopic theory of the $\mu$-$^6$Li$^{2+}$ and $\mu$-$^7$Li$^{2+}$ systems. The goal of the CREMA collaboration is to measure the Lamb shift to…

核理论 · 物理学 2019-12-17 S. Li Muli , A. Poggialini , S. Bacca

Quantum interference between energetically close states is theoretically investigated, with the state structure being observed via laser spectroscopy. In this work, we focus on hyperfine states of selected hydrogenic muonic isotopes, and on…

Theoretical energy levels of the $n = 1$ and $n = 2$ states of hydrogenlike atoms with the nuclear charge numbers $1 \le Z \le 110$ are tabulated. The tabulation is based on ab initio quantum electrodynamical calculations performed to all…

原子物理 · 物理学 2015-09-28 V. A. Yerokhin , V. M. Shabaev

A comprehensive theory of the Lamb shift in light muonic atoms such as $\mu$H, $\mu$D, $\mu^3$He$^+$, and $\mu^4$He$^+$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty…

原子物理 · 物理学 2024-02-22 K. Pachucki , V. Lensky , F. Hagelstein , S. S. Li Muli , S. Bacca , R. Pohl

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…

原子物理 · 物理学 2015-05-20 Krzysztof Pachucki , Vladimir A. Yerokhin

The Lamb shift (2P_{1/2}-2S_{1/2}) in the muonic helium ion (mu ^4_2He)^+ is calculated with the account of contributions of orders alpha^3, alpha^4, alpha^5 and alpha^6. Special attention is given to corrections of the electron vacuum…

高能物理 - 唯象学 · 物理学 2014-07-10 A. P. Martynenko

The radiative correction to the Lamb shift of order $\alpha^{2}(Z\alpha)^5m$ induced by the light by light scattering insertion in external photons is obtained. The new contribution turns out to be equal to…

高能物理 - 唯象学 · 物理学 2009-10-28 Michael I. Eides , Howard Grotch , Peter Pebler
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