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The charge transfer (ionization) of hydrogen Rydberg atoms (principal quantum number $n=25-34$) incident at a Cu(100) surface is investigated. Unlike fully metallic surfaces, where the Rydberg electron energy is degenerate with the…

Chemical Physics · Physics 2016-06-22 J. A. Gibbard , M. Dethlefsen , M. Kohlhoff , C. J. Rennick , E. So , M. Ford , T. P. Softley

High-precision laser spectroscopy of atomic hydrogen has led to an impressive accuracy in tests of bound-state quantum electrodynamics (QED). At the current level of accuracy many systematics have to be studied very carefully and only…

Atomic Physics · Physics 2022-09-21 J. J. Krauth , L. S. Dreissen , C. Roth , E. L. Gründeman , M. Collombon , M. Favier , K. S. E. Eikema

The leading relativistic and QED corrections to the ground state energy of the three-body system (epe) are calculated numerically using a Hylleraas correlated basis set. The accuracy of the nonrelativistic variational ground state wave…

Atomic Physics · Physics 2007-05-23 M. Grigorescu , G. W. F. Drake

We evaluate a number of systematic effects that are important for an experimental microwave measurement of the $n$$=$$2$ S-to-P intervals in atomic hydrogen. The analysis is important for both re-evaluating the best existing measurement…

Atomic Physics · Physics 2018-08-01 A. Marsman , M. Horbatsch , Z. A. Corriveau , E. A. Hessels

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

We present a numerical evaluation of the loop-after-loop contribution to the second-order self-energy for the ground state of hydrogenlike atoms with low nuclear charge numbers Z. The calculation is carried out in the Fried-Yennie gauge and…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. A. Yerokhin

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated in a non--relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the $2S-2P$ Lamb shift…

High Energy Physics - Phenomenology · Physics 2011-08-17 G. Lambiase , G. Papini , G. Scarpetta

In this work, we present expressions for the full effective potential corresponding to the one-photon exchange interaction within the framework of an effective Schr\"{o}dinger-like equation, which is derived exactly from the Bethe-Salpeter…

Nuclear Theory · Physics 2025-03-18 Zi-Wen Zhang , Hai-Qing Zhou

Corrections to energy levels in light muonic atoms are investigated in order $\alpha^2(Z\alpha)^4m$. We pay attention to corrections which are specific for muonic atoms and include the electron vacuum polarization loop. In particular, we…

Atomic Physics · Physics 2014-11-04 Evgeny Yu. Korzinin , Vladimir G. Ivanov , Savely G. Karshenboim

We describe a new approach to computing energy levels of a non-relativistic bound-state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After discussing the method, we demonstrate its potential with an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , Kirill Melnikov

We investigate the gauge invariance of the leading logarithmic radiative correction to the two-photon decay width in hydrogenlike atoms. It is shown that an effective treatment of the correction using a Lamb-shift "potential" leads to…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura

By combining a recent precise measurement of the ionization energy of $^{87}$Rb with previous measurements of electronic and hyperfine structure, an accurate value for the $^{85}\textrm{Rb}-^{87}\textrm{Rb}$ isotope shift of the…

Atomic Physics · Physics 2015-05-30 L. Aldridge , P. L. Gould , E. E. Eyler

The variational method is used to study the energy levels of muonic helium $(\mu^{-} \, e^{-} \, He)$ with an electron in the ground state and a muon in an excited state with principal and orbital quantum numbers $n \sim l+1 \sim 14$. The…

High Energy Physics - Phenomenology · Physics 2026-05-01 A. V. Eskin , A. P. Martynenko , F. A. Martynenko , D. K. Pometko

Rydberg excited states of molecules pose a challenge for electronic structure calculations because of their highly diffuse electron distribution. Even large and elaborate atomic basis sets tend to underrepresent the long-range tail, overly…

Precision measurements of transitions between singlet ($S=0$) Rydberg states of H$_2$ belonging to series converging on the $\mathrm{X}^+\,^2\Sigma_g^+(v^+=0,N^+=0)$ state of H$_2^+$ have been carried out by millimetre-wave spectroscopy…

Atomic Physics · Physics 2022-07-04 Nicolas Hölsch , Ioana Doran , Maximilian Beyer , Frédéric Merkt

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…

Atomic Physics · Physics 2024-02-22 K. Pachucki , V. Lensky , F. Hagelstein , S. S. Li Muli , S. Bacca , R. Pohl

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

Rydberg states of alkali atoms are highly sensitive to electromagnetic radiation in the GHz-to-THz regime because their transitions have large electric dipole moments. Consequently, environmental blackbody radiation (BBR) can couple Rydberg…

The dynamics of Rydberg states of atomic hydrogen perturbed simultaneously by a static electric field and a resonant microwave field of elliptical polarization is analysed in the quantum perturbative limit of small amplitudes. For some…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski , Dominique Delande

We have studied an ionization of alkali-metal Rydberg atoms by blackbody radiation (BBR). The results of the theoretical calculations of ionization rates of Li, Na, K, Rb and Cs Rydberg atoms are presented. Calculations have been performed…

Atomic Physics · Physics 2009-04-07 I. I. Beterov , D. B. Tretyakov , I. I. Ryabtsev , V. M. Entin , A. Ekers , N. N. Bezuglov