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相关论文: QED effects in quadratic Zeeman splitting in highl…

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The quadratic Zeeman effect is calculated for the ground $^2P_{1/2}$ state of light boron-like ions in the range of nuclear-charge numbers $Z = 10-24$. The calculations are performed in the Furry picture using three models for the…

原子物理 · 物理学 2026-05-11 V. A. Agababaev , A. V. Volotka , D. A. Glazov , A. V. Malyshev , M. M. Osiptsov , V. M. Shabaev

We perform ab initio QED calculations of energy levels for the $n=1$ and $n=2$ states of He-like ions with the nuclear charge in the range $Z = 12$-100. The complete set of two-electron QED corrections is evaluated to all orders in the…

原子物理 · 物理学 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff

QED corrections to the $g$ factor of Li-like and B-like ions in a wide range of nuclear charges are presented. Many-electron contributions as well as radiative effects on the one-loop level are calculated. Contributions resulting from the…

原子物理 · 物理学 2020-07-15 H. Cakir , V. A. Yerokhin , N. S. Oreshkina , B. Sikora , I. I. Tupitsyn , C. H. Keitel , Z. Harman

The fully relativistic theory of the Zeeman splitting of the $(1s)^2 2s$ hyperfine-structure levels in lithiumlike ions with $Z=6 - 32$ is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections…

原子物理 · 物理学 2009-04-08 D. L. Moskovkin , V. M. Shabaev , W. Quint

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

原子物理 · 物理学 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

Systematic QED calculations of ionization energies of the $2s$, $2p_{1/2}$, and $2p_{3/2}$ states, as well as the $2p_{1/2}$--$2s$ and $2p_{3/2}$--$2p_{1/2}$ transition energies are performed for Li-like ions with the nuclear charge numbers…

原子物理 · 物理学 2025-10-09 V. A. Yerokhin , Z. Harman , C. H. Keitel

A calculation of the one-loop self-energy and vacuum-polarization corrections to the hyperfine splitting of the 1s and 2s states in light H-like ions is carried out to all orders in the parameter Z \alpha. Using the known values for the Z…

原子物理 · 物理学 2009-11-11 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev , G. Plunien

We report a calculation of all two-loop QED corrections with closed fermion loops for the n=1 and n=2 states of H-like ions and for a wide range of the nuclear charge numbers Z=1-100. The calculation is performed to all orders in the…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We consider quantum electrodynamics (QED) corrections to the fine splitting $E(2P_{3/2}) - E(2P_{1/2})$ in the Li atom. We derive complete formulas for the $m\,\alpha^6$ and $m\,\alpha^7\,\ln\alpha$ contributions and calculate them…

原子物理 · 物理学 2015-06-19 Mariusz Puchalski , Krzysztof Pachucki

We present numerical values for the self-energy shifts predicted by QED (Quantum Electrodynamics) for hydrogenlike ions (nuclear charge $60 \le Z \le 110$) with an electron in an $n=3$, 4 or 5 level with high angular momentum ($5/2\le j \le…

原子物理 · 物理学 2009-11-07 Eric-Olivier Le Bigot , P. Indelicato , P. J. Mohr

Calculations of the self-energy corrections to ionization energies of the $3s$, $3p_{1/2}$, and $3p_{3/2}$ states in sodium-like ions with nuclear-charge numbers $Z=30$, $50$, $70$, and $92$ are presented. The calculations are performed…

原子物理 · 物理学 2026-03-27 P. Yang , A. V. Malyshev , E. A. Prokhorchuk , I. I. Tupitsyn , V. M. Shabaev , D. P. Usov

Vacuum polarisation (VP) and electron self energy (SE) are implemented and evaluated as quantum electrodynamic (QED) corrections in a (quasi-relativistic) two-component zeroth order regular approximation (ZORA) framework. For VP, the…

The rigorous QED approach is employed to calculate the energies of the $2p2p\,^3P_{0,1,2}$, $2p2p\,^1D_2$, and $2p2p\,^1S_0$ states of selected Be-like highly charged ions over a wide range of nuclear-charge numbers, $18 \leqslant Z…

原子物理 · 物理学 2025-11-17 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev , I. I. Tupitsyn

We present an ab initio calculation of the screened self-energy correction for (1s)^2 2p3/2 and (1s)^2 2s states of Li-like ions with nuclear charge numbers in the range Z = 12-100. The evaluation is carried out to all orders in the…

原子物理 · 物理学 2009-11-10 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev , G. Plunien , G. Soff

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

原子物理 · 物理学 2010-01-14 U. D. Jentschura , V. A. Yerokhin

The quantum electrodynamics formalism to treat the interelectronic-interaction correction of first order in $1/Z$ to the two-electron part of the nuclear recoil effect on binding energies in atoms and ions is developed. The nonperturbative…

原子物理 · 物理学 2019-07-24 A. V. Malyshev , I. S. Anisimova , D. V. Mironova , V. M. Shabaev , G. Plunien

The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding…

原子物理 · 物理学 2018-05-25 V. A. Yerokhin

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

Accurate QED calculations of the interelectron interaction corrections for the $(1s2p)2 {}^1 P_1$, $(1s2p)2 {}^3 P_1$ two-electron configurations for ions with nuclear charge numbers $10\le Z \le 92$ are performed within the line profile…

原子物理 · 物理学 2009-11-10 O. Yu. Andreev , L. N. Labzowsky , G. Plunien , G. Soff

A systematic investigation of the nuclear-polarization effects in one- and few-electron heavy ions is presented. The nuclear-polarization corrections in the zeroth and first orders in $1/Z$ are evaluated to the binding energies, the…

原子物理 · 物理学 2015-04-23 Andrey V. Volotka , Günter Plunien
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