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Ab initio QED calculations of the ground-state binding energies of berylliumlike ions are performed for the wide range of the nuclear charge number: Z=18-96. The calculations are carried out in the framework of the extended Furry picture…

Atomic Physics · Physics 2015-03-11 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien

Ionization energies for the ground state of berylliumlike ions with nuclear charge numbers in the range Z=16-96 are rigorously evaluated. The calculations merge the ab initio QED treatment in the first and second orders of the perturbation…

Atomic Physics · Physics 2015-07-22 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien

The current status of bound state quantum electrodynamics calculations of transition energies for few-electron ions is reviewed. Evaluation of one and two body QED correction is presented, as well as methods to evaluate many-body effects…

Atomic Physics · Physics 2020-01-08 Paul Indelicato

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

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…

Atomic Physics · Physics 2009-11-07 Eric-Olivier Le Bigot , P. Indelicato , P. J. Mohr

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…

The present status of quantum electrodynamics (QED) theory of heavy few-electron ions is reviewed. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED at strong fields and on…

Atomic Physics · Physics 2009-11-13 V. M. Shabaev , A. N. Artemyev , D. A. Glazov , I. I. Tupitsyn , V. A. Volotka , V. A. Yerokhin

The \textit{ab initio} approach is used to evaluate the excitation energies of the $2s2p \, ^{2S+1}P_J$ states from the ground state as well as the $2s2p \, ^3P_1 \rightarrow 2s2p \, ^3P_0$ and $2s2p \, ^3P_2 \rightarrow 2s2p \, ^3P_1$…

Atomic Physics · Physics 2024-11-05 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev , I. I. Tupitsyn

This work concerns \emph{ab initio} calculations of the complete potential energy curve and spectroscopic constants for the ground state $X^1\Sigma_g^+$ of the beryllium dimer, Be$_2$. High accuracy and reliability of the results is one of…

Results of accurate computations of bound states in three- and four-electron atomic systems are discussed. Bound state properties of the four-electron lithium ion Li$^{-}$ in its ground $2^{2}S-$state are determined from the results of…

Atomic and Molecular Clusters · Physics 2016-07-08 Alexei M. Frolov , David M. Wardlaw

Rigorous quantum electrodynamical calculation is presented for energy levels of the 1^1S, 2^1S, 2^3S, 2^1P_1, and 2^3P_{0,1,2} states of helium-like ions with the nuclear charge Z=3...12. The calculational approach accounts for all…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Krzysztof Pachucki

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…

For heliumlike uranium, the energies of the singly-excited $1sns$, $1snp$, and $1snd$ states with $n\leq 4$ and the probabilities of the one-photon $1s3d\to 1s2p$, $1s3p\to 1s2s$, $1s3p\to 1s2p$ and $1s4d\to 1s2p$ transitions are evaluated.…

Atomic Physics · Physics 2024-01-17 N. K. Dulaev , M. Y. Kaygorodov , A. V. Malyshev , I. I. Tupitsyn , V. M. Shabaev

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…

Atomic Physics · Physics 2025-11-17 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev , I. I. Tupitsyn

Large-scale relativistic configuration-interaction method combined with many-body perturbation theory is consistently applied to calculations of the energy levels of the ground and inner-L-shell excited states of berylliumlike ions in the…

With the consideration of identity principle and atomic shell structure, we calculated the ground state energy of Lithium atom and Beryllium atom based on variational method, which accords quite well with the experimental results.

Atomic Physics · Physics 2025-05-20 Mei-Qin Deng , Ren-Hong Fang

The bound-state QED approach is applied to calculations of the $2p_{3/2} \rightarrow 2s$ transition energies in He-, Li-, and Be-like uranium. For U$^{90+}$ and U$^{89+}$, standard perturbation theory for a single level is employed, while…

Atomic Physics · Physics 2023-05-11 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev

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…

Atomic Physics · Physics 2025-10-09 V. A. Yerokhin , Z. Harman , C. H. Keitel

Accurate QED calculation of transition probabilities for the low-lying two-electron configurations of multicharged ions is presented. The calculation is performed for the nondegenerate states $(1s2s) 3S1$, $(1s2p_{3/2}) 3P2$ ($M 1$ and $M…

Atomic Physics · Physics 2009-11-13 O. Yu. Andreev , L. N. Labzowsky , G. Plunien

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
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