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Atomic hydrogen energy levels calculated to high precision are required to assist experimental researchers working on spectroscopy in the pursuit of testing quantum electrodynamics (QED) and probing for physics beyond the Standard Model.…

Atomic Physics · Physics 2023-09-12 David M. Jacobs , Marko Horbatsch

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

Detailed comparisons between theory and experiment for quantum electrodynamics (QED) effects in He-like ions have been performed in the literature to search for hints of new physics. Different frequentist statistical analyses of the…

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…

Expressions for the effective Quantum Electrodynamics (QED) Hamiltonian due to self-energy screening (self-energy correction to the electron-electron interaction) are presented. We use the method of the two-time Green's function, which…

Atomic Physics · Physics 2009-11-06 Eric-Olivier Le Bigot , Paul Indelicato , Vladimir M. Shabaev

Energy levels, wavelengths, magnetic-dipole and electric-quadrupole transition rates between the low-lying states are evaluated for W$^{51+}$ to W$^{54+}$ ions with $3d^n$ (n = 2 to 5) electronic configurations using an approach combining…

Atomic Physics · Physics 2018-01-10 M. S. Safronova , U. I. Safronova , S. G. Porsev , M. G. Kozlov , Yu. Ralchenko

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

Comparison of precision frequency measurements to quantum electrodynamics (QED) predictions for Rydberg states of hydrogen-like ions can yield information on values of fundamental constants and test theory. With the results of a calculation…

Atomic Physics · Physics 2009-02-02 U. D. Jentschura , P. J. Mohr , J. N. Tan , B. J. Wundt

This review is devoted to precision physics of simple atoms. The atoms can essentially be described in the framework of quantum electrodynamics (QED), however, the energy levels are also affected by the effects of the strong interaction due…

High Energy Physics - Phenomenology · Physics 2015-06-25 Savely G. Karshenboim

The quantum electrodynamical theory of the three-photon transitions in hydrogen-like ions is presented. Emission probabilities of various three-photon decay channels for $ 2p_{3/2} $, $ 2p_{1/2} $ and $ 2s_{1/2} $ states are calculated for…

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

A calculation of two-electron QED effects to all orders in the nuclear binding strength parameter $Z\alpha$ is presented for the ground and $n = 2$ excited states of helium-like ions. After subtracting the first terms of the $Z\alpha$…

Atomic Physics · Physics 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , 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…

Atomic Physics · Physics 2009-11-10 O. Yu. Andreev , L. N. Labzowsky , G. Plunien , G. Soff

Within the framework of QED theory at finite temperature the thermal radiative corrections to spontaneous one-photon transition rates in hydrogen atom are investigated. The radiative one-loop self-energy corrections are described in the…

Atomic Physics · Physics 2020-05-13 T. Zalialiutdinov , D. Solovyev , L. Labzowsky

Measurements of energy separations in highly charged ions can in many cases nowadays be performed with very high accuracy, an accuracy that sometimes cannot be matched by the corresponding theoretical calcula- tions. Furthermore, it has…

Atomic Physics · Physics 2013-01-01 Ingvar Lindgren , Sten Salomonson , Johan Holmberg

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.…

High Energy Physics - Theory · Physics 2009-10-07 M. Chaichian , M. M. Sheikh-Jabbari , A. Tureanu

The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision…

Atomic Physics · Physics 2012-07-03 B. J. Wundt , U. D. Jentschura

We use previously developed radiative potential method to calculate quantum electrodynamic (QED) corrections to energy levels and electric dipole transition amplitudes for atoms which are used for the study of the parity non-conservation…

Atomic Physics · Physics 2014-03-20 B. M. Roberts , V. A. Dzuba , V. V. Flambaum

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…

The development of Quantum Electrodynamics (QED) is sketched from its earliest beginnings until the formulations of 1949, using the example of the divergent self-energy of the electron as a quintessential problem of the 1930's-40's. The…

History and Philosophy of Physics · Physics 2007-05-23 Jo Bovy

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