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The quantum electrodynamical theory of the two-photon transitions in hydrogenlike ions is presented. The emission probability for 2s1/2 -> 2E1+1s1/2 transitions is calculated and compared to the results of the previous calculations. The…

Atomic Physics · Physics 2009-11-10 L. N. Labzowsky , A. V. Shonin , D. A. Solovyev

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

Based on quantum electrodynamics, we reexamine the two-photon decay of one-electron atoms. Special attention is paid to the calculation of the (two-photon) total decay rates which can be viewed as the imaginary part of the two-loop…

Atomic Physics · Physics 2008-07-08 Ulrich D. Jentschura , Andrey Surzhykov

QED theory of multiphoton cascade transitions in atoms and ions is developed. In particular the $ 3s\rightarrow1s+2\gamma $, $ 4s\rightarrow1s+2\gamma $ and $ 3p\rightarrow1s+3\gamma $ processes are considered. Two different approaches…

Atomic Physics · Physics 2015-06-16 T. Zalialiutdinov , Yu. Baukina , D. Solovyev , L. Labzowsky

A rigorous QED theory of the multiphoton decay of excited states in hydrogen atom is presented. The "two-photon" approximation is formulated which is limited by the one-photon and two-photon transitions including cascades transitions with…

Atomic Physics · Physics 2011-11-29 D. Solovyev , L. Labzowsky

A theoretical study the all two-photon transitions from initial bound states with ni = 2, 3 in hydrogenic ions is presented. High-precision values of relativistic decay rates for ions with nuclear charge in the range 1 =< Z =< 92 are…

Atomic Physics · Physics 2015-05-13 P. Amaro , J. P. Santos , F. Parente , A. Surzhykov , Paul Indelicato

QED theory of multiphoton cascade transitions in atoms and ions is developed. This theory allows for the accurate description of the process important for astrophysical studies of the cosmological hydrogen recombination. In particular the $…

Atomic Physics · Physics 2012-04-12 L. Labzowsky , D. Solovyev , T. Zalialiutdinov

The purpose of this paper is to calculate the two-photon decay rate corresponding to the two-photon transitions nS->1S and nD->1S in hydrogenlike ions with a low nuclear charge number Z (for principal quantum numbers n = 2,...,8. Numerical…

Atomic Physics · Physics 2008-09-15 Ulrich D. Jentschura

One- and two-photon transitions in the hydrogen atom are analytically evaluated in the absence and in the presence of an external electric field. The emission probabilities are different for the hydrogen and anti-hydrogen atoms due to the…

Atomic Physics · Physics 2011-11-29 D. Solovyev , L. Labzowsky , G. Plunien , V. Sharipov

A theoretical investigation of the three-photon transition rates $ 2^1P_1\rightarrow 2^1S_0\;,1^1S_0 $ and $ 2^3P_2\rightarrow 2^1S_0\;,1^1S_0 $ for the helium atom is presented. Photon energy distributions and precise values of the…

Atomic Physics · Physics 2018-01-23 T. Zalialiutdinov , D. Solovyev , L. Labzowsky , G. Plunien

We present ab initio calculations of the complete gauge-invariant set of two-photon exchange graphs for the $(1s)^2 2p_{3/2}$ electron configuration in Li-like ions. These calculations are an important step towards the precise theoretical…

Atomic Physics · Physics 2009-11-10 A. N. Artemyev , V. M. Shabaev , M. M. Sysak , V. A. Yerokhin , T. Beier , G. Plunien , G. Soff

The total two-photon decay rate of hydrogen-like ions is studied using relativistic quantum electrodynamics. In particular, we analyse how finite nuclear size and QED vacuum polarization corrections affect the decay rate. To calculate these…

Atomic Physics · Physics 2020-10-21 J. Sommerfeldt , R. A. Müller , A. V. Volotka , S. Fritzsche , A. ~Surzhykov

A new approach is laid out to investigate the two photon atomic transitions. It is based on application of the finite basis solutions constructed from the Bernstein Polynomial (B-Polynomial) sets. We show that such an approach provides a…

Mathematical Physics · Physics 2015-05-28 P. Amaro , A. Surzhykov , F. Parente , P. Indelicato , J. P. Santos

Two-photon E1M1 transition rates are evaluated for heliumlike ions with nuclear charges in the range Z = 50-94. The two-photon rates modify previously published lifetimes/transition rates of 2 3P0 states. For isotopes with nuclear spin I…

Atomic Physics · Physics 2009-11-07 I. M. Savukov , W. R. Johnson

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

We have studied the radiative decay of the 2s state of one-electron and one-muon ions, where the two-photon mechanism plays an important role. Due to the nuclear size corrections the radiative decay of the 2s state in the electron and muon…

Atomic Physics · Physics 2022-07-27 V. A. Knyazeva , K. N. Lyashchenko , M. Zhang , D. Yu , O. Yu. Andreev

Based on a rigorous QED approach a theoretical analysis is performed for the two-photon transitions in heavy He-like ions. Special attention is paid to the interelectronic-interaction corrections to the decay rates that are taken into…

Atomic Physics · Physics 2015-05-28 A. V. Volotka , A. Surzhykov , V. M. Shabaev , G. Plunien

A new mechanism of nuclear excitation via two-photon electron transitions (NETP) is proposed and studied theoretically. As a generic example, detailed calculations are performed for the $E1E1$ $1s2s\,^1S_0 \rightarrow 1s^2\,^1S_0$…

Atomic Physics · Physics 2016-12-09 A. V. Volotka , A. Surzhykov , S. Trotsenko , G. Plunien , Th. Stöhlker , S. Fritzsche

A theoretical study of the polarization entanglement of two photons emitted in the decay of metastable ionic states is performed within the framework of density matrix theory and second-order perturbative approach. Particular attention is…

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
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