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On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order $\alpha^5$ and $\alpha^6$ to hyperfine structure of S-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum…

高能物理 - 唯象学 · 物理学 2014-07-30 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin

The fully relativistic theory of the Zeeman splitting of the $(1s)^2 2s$ hyperfine-structure levels in lithiumlike ions with $Z=6 - 32$ is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections…

原子物理 · 物理学 2009-04-08 D. L. Moskovkin , V. M. Shabaev , W. Quint

We analyze the minimal supersymmetric Higgs self-couplings at O(alpha_t alpha_s) within the effective potential approach. The two-loop corrections turn out to be of moderate size in the DRbar scheme if the central scale is chosen as half…

高能物理 - 唯象学 · 物理学 2014-12-24 Mathias Brucherseifer , Ryan Gavin , Michael Spira

We revisit the contributions of order $\alpha^2(Z\alpha)^5m$ and $\alpha^2(Z\alpha)E_F$, respectively, to the Lamb shift and to the hyperfine splitting from mixed self-energy-vacuum-polarization diagrams, involving fermionic loop. We use…

高能物理 - 唯象学 · 物理学 2023-08-16 Petr A. Krachkov , Roman N. Lee

Calculations of the two-loop electron self-energy for the $n = 1$ and $n = 2$ states of hydrogen-like ions are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and…

原子物理 · 物理学 2025-09-12 V. A. Yerokhin , Z. Harman , C. H. Keitel

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…

原子物理 · 物理学 2012-06-29 B. J. Wundt , U. D. Jentschura

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

We calculate radiative-recoil corrections of order $\alpha^2(Z\alpha)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of…

高能物理 - 唯象学 · 物理学 2009-11-07 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The usefulness of study of hyperfine splitting in the hydrogen atom is limited on a level of 10 ppm by our knowledge of the proton structure. One way to go beyond 10 ppm is to study a specific difference of the hyperfine structure intervals…

原子物理 · 物理学 2007-05-23 Savely G. Karshenboim

Results of a calculation valid to all orders in the nuclear-strength parameter Z\alpha are presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, for the ground and first excited states of ions with the…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These corrections are enhanced by the large logarithms of…

高能物理 - 唯象学 · 物理学 2013-05-30 Michael I. Eides , Valery A. Shelyuto

We compute the 1-loop correction to the electroweak observables from spin-1 resonances in SO(5)/SO(4) composite Higgs models. The strong dynamics is modeled with an effective description comprising the Nambu-Goldstone bosons and the…

高能物理 - 唯象学 · 物理学 2015-12-01 Roberto Contino , Matteo Salvarezza

We analyze second-order $M1$-$M1$ and $M1$-$E2$ effects to the hyperfine structure (HFS) of the lowest energy $P$ states of alkali-metal atoms arising from the coupling of the two ($J=1/2,3/2$) fine-structure levels through the hyperfine…

原子物理 · 物理学 2011-07-13 K. Beloy , A. Derevianko

The rigorous calculation of the vacuum-polarization screening corrections to the hyperfine splitting in Li-like bismuth is presented. The two-electron diagrams with electric and magnetic vacuum-polarization loops are evaluated to all orders…

原子物理 · 物理学 2012-08-06 O. V. Andreev , D. A. Glazov , A. V. Volotka , V. M. Shabaev , G. Plunien

The hyperfine splitting of the ground state of H-, Li-, and B-like ions is investigated in details within the range of nuclear numbers Z = 7-28. The rigorous QED approach together with the large-scale configuration-interaction…

原子物理 · 物理学 2009-11-13 A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , N. S. Oreshkina , G. Plunien , V. M. Shabaev

Calculations of the two-loop electron self-energy for the $1S$ Lamb shift are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure…

原子物理 · 物理学 2025-01-08 V. A. Yerokhin , Z. Harman , C. H. Keitel

On the basis of the perturbation theory in the fine structure constant $\alpha$ and the ratio of the electron to muon masses we calculate one-loop vacuum polarization and electron vertex corrections and the nuclear structure corrections to…

高能物理 - 唯象学 · 物理学 2011-04-28 A. A. Krutov , A. P. Martynenko

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

原子物理 · 物理学 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

This paper is devoted to reconsider the one-loop oblique corrections arising from the scalar superpartners in the MSSM, i.e, the squarks, the sleptons and the scalars in Higgs sector. We explicitly present the complete one-loop forms of…

高能物理 - 唯象学 · 物理学 2013-10-24 Yao Yu , Sibo Zheng

The screened QED corrections of the first orders in \alpha and 1/Z to the g factor and the hyperfine splitting of lithiumlike ions are evaluated within ab initio quantum electrodynamical approach. The complete gauge-invariant set of the…

原子物理 · 物理学 2014-11-18 D. A. Glazov , A. V. Volotka , V. M. Shabaev , I. I. Tupitsyn , G. Plunien