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The ground and a few excited states of the beryllium atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35*10^9T. With changing field strength…

Atomic Physics · Physics 2009-11-06 M. V. Ivanov , P. Schmelcher

We investigate interactions between the proton spin, the deuteron spin, and the orbital angular momentum in the electronic ground state of the HD molecule. These interactions lead to hyperfine splittings of molecular energy levels. Our…

Chemical Physics · Physics 2020-07-29 Jacek Komasa , Mariusz Puchalski , Krzysztof Pachucki

A rigorous evaluation of the complete gauge-invariant set of the screened one-loop QED corrections to the hyperfine structure and g factor in lithiumlike heavy ions is presented. The calculations are performed in both Feynman and Coulomb…

Atomic Physics · Physics 2009-07-18 A. V. Volotka , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn , G. Plunien

We present a state-of-the-art evaluation of the polarizability corrections--the inelastic nucleon corrections--to the hydrogen ground-state hyperfine splitting using analytic fits to the most recent data. We find a value $\Delta_{\rm pol} =…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vahagn Nazaryan , Carl E. Carlson , Keith A. Griffioen

We consider a spin-1/2 electron and a spin-1/2 nucleus interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. For a fixed total momentum sufficiently small, we study the multiplicity of the…

Mathematical Physics · Physics 2015-05-14 L. Amour , J. Faupin

The self-energy corrections to the hyperfine splitting is evaluated for higher excited states in hydrogenlike ions, using an expansion in the binding parameter Zalpha, where Z is the nuclear charge number, and alpha is the fine-structure…

Atomic Physics · Physics 2012-06-29 B. J. Wundt , U. D. Jentschura

The contribution of the proton polarizability to the ground state hyperfine splitting in the hydrogen atom is evaluated on the basis of isobar model and evolution equations for the parton distributions. The contributions of the Born terms,…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , I. V. Gorbacheva , A. P. Martynenko

A relativistic wave equation for bound states of two fermions with arbitrary masses which are exposed to a magnetic field is derived from quantum electrodynamics. The interaction kernels are based upon the generalized invariant M-matrices…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

The hyperfine structure constants of the lowest $s$ and $p_{1/2}$ states of superheavy elements Z=119 and Z= 120$^+$ are calculated using {\em ab initio} approach. Core polarization and dominating correlation effects are included to all…

Atomic Physics · Physics 2015-05-13 T. H. Dinh , V. A. Dzuba , V. V. Flambaum

Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure quantities (form factors, structure…

Nuclear Theory · Physics 2023-01-09 Aldo Antognini , Franziska Hagelstein , Vladimir Pascalutsa

The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch , and Valery A. Shelyuto

The 1S hyperfine splitting in hydrogen is measured to an impressive ppt precision and will soon be measured to ppm precision in muonic hydrogen. The latter measurement will rely on theoretical predictions, which are limited by knowledge of…

The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are…

Atomic Physics · Physics 2024-12-10 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

We calculate three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with the first order electron and muon polarization loop insertions in graphs with two exchanged photons. These corrections are…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The present review includes the description of theoretical methods for the investigations of the spectra of hydrogen-like systems. Various versions of the quasipotential approach and the method of the effective Dirac equation are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Valeri V. Dvoeglazov , Rudolf N. Faustov , Yuri N. Tyukhtyaev

The linear polarization of the characteristic photon emission from few-electron ions is studied for its sensitivity with regard to the nuclear spin and magnetic moment of the ions. Special attention is paid, in particular, to the…

Nuclear Theory · Physics 2013-06-04 Andrey Surzhykov , Yuri A. Litvinov , Thomas Stöhlker , Stephan Fritzsche

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…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

We reevaluate the Zemach, recoil and polarizability corrections to the hyperfine splitting in muonic hydrogen expressing them through the low-energy proton structure constants and obtain the precise values of the Zemach radius and…

High Energy Physics - Phenomenology · Physics 2018-01-17 O. Tomalak

A large-scale configuration-interaction (CI) calculation is reported for the hyperfine splitting of the 2^2S and 3^2S states of ^7Li and ^9Be^+. The CI calculation based on the Dirac-Coulomb-Breit Hamiltonian is supplemented with a separate…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin