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The muonic vacuum polarization contribution to the $g$-factor of the electron bound in a nuclear potential is investigated theoretically. The electric as well as the magnetic loop contributions are evaluated. We found these muonic effects…

原子物理 · 物理学 2016-10-06 N. A. Belov , B. Sikora , R. Weis , V. A. Yerokhin , S. Sturm , K. Blaum , C. H. Keitel , Z. Harman

A theoretical description of the $g$ factor of a muon bound in a nuclear potential is presented. One-loop self-energy and multi-loop vacuum polarization corrections are calculated, taking into account the interaction with the binding…

高能物理 - 唯象学 · 物理学 2018-06-27 B. Sikora , H. Cakir , N. Michel , V. Debierre , N. S. Oreshkina , N. A. Belov , V. A. Yerokhin , C. H. Keitel , Z. Harman

Dirac has predicted that the $g$ factor of an electron is strictly equal to 2 in the framework of relativistic quantum mechanics. However, later physicists have found that this factor can be slightly deviated from 2 (i.e., the problem of…

高能物理 - 唯象学 · 物理学 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

We have formulated the quasipotential method for the calculation of the relativistic and radiative corrections to the magnetic moment of the two-particle bound state in the case of particles with arbitrary spin. It is shown that the…

高能物理 - 唯象学 · 物理学 2014-11-17 R. N. Faustov , A. P. Martynenko

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

高能物理 - 唯象学 · 物理学 2023-11-28 Eugen Dizer , Zoltán Harman

A review of the experimental and theoretical determinations of the anomalous magnetic moment of the muon is given. The anomaly is defined by a=(g-2)/2, where the Land\'e g-factor is the proportionality constant that relates the spin to the…

高能物理 - 唯象学 · 物理学 2008-11-26 James P. Miller , Eduardo de Rafael , B. Lee Roberts

Energy levels of a two-body atomic system in an external homogeneous magnetic field can be presented in terms of magnetic moments of their components, however, those magnetic moments being related to bound particles differ from their free…

高能物理 - 唯象学 · 物理学 2014-11-17 S. G. Karshenboim , V. G. Ivanov

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

原子物理 · 物理学 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

We consider the standard model extension to explore the anomalous magnetic dipole moment of the muon. In the QED part of the theory for the CP and CPT-even Lorentz parameter $c_{\mu\nu}$, all independent electromagnetic form factors depend…

高能物理 - 唯象学 · 物理学 2018-01-17 S. Aghababaei , M. Haghighat , I. Motie

According to a prevailing opinion, the electron g-factor ge = 2 is exclusively a quantum feature. Here we demonstrate it could be explained classically only in relativistic terms. The electron is treated as an extended, continuous, but…

经典物理 · 物理学 2018-06-07 Jaromir Chalupsky

The fully relativistic theory of the g factor of Li-like ions with nonzero nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole hyperfine-interaction correction to the atomic g factor is calculated including the…

原子物理 · 物理学 2009-11-13 D. L. Moskovkin , V. M. Shabaev , W. Quint

We consider higher order corrections to the g factor of a bound proton in hydrogen atom and their consequences for a magnetic moment of free and bound proton and deuteron as well as some other objects.

高能物理 - 唯象学 · 物理学 2009-11-10 Savely G. Karshenboim , Vladimir G. Ivanov

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , U. D. Jentschura

We investigate restrictions on the hadronic contribution to the muon $(g-2)$ factor and to the pion electromagnetic formfactor from the analytical properties of the pion formfactor and the experimental data of the pion formfactor in the…

高能物理 - 唯象学 · 物理学 2007-05-23 B. V. Geshkenbein

We study the experimental constraints from electron and muon $g-2$ factors on the Higgs masses and Yukawa couplings in the $T'$ model, and thereby show that the discrepancy between the standard model prediction and experimental value of…

高能物理 - 唯象学 · 物理学 2010-08-31 Chiu Man Ho , Thomas W. Kephart

In the relativistic description of atomic systems in external fields the total momentum and the external electric field couple to the angular momentum of the individual particles. Therefore, the motional state of an ion in a particle trap…

原子物理 · 物理学 2015-11-11 Niklas Michel , Jacek Zatorski , Christoph H. Keitel

Theoretical predictions underlying determinations of the fine structure constant alpha and the electron-to-proton mass ratio m_e/m_p are reviewed, with the emphasis on the bound electron magnetic anomaly g-2. The theory of the interaction…

高能物理 - 唯象学 · 物理学 2010-12-13 Andrzej Czarnecki , Matthew Dowling , Jorge Mondejar , Jan H. Piclum

The contribution of the light-by-light diagram to the g factor of electron and muon bound in Coulomb field is obtained. For electron in a ground state, our results are in good agreement with the results of other authors obtained numerically…

高能物理 - 唯象学 · 物理学 2009-11-10 R. N. Lee , A. I. Milstein , I. S. Terekhov , S. G. Karshenboim

The finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic…

原子物理 · 物理学 2009-11-07 D. A. Glazov , V. M. Shabaev

Fully relativistic approach is applied to evaluation of the nuclear recoil effect on the bound-electron $g$ factor in hydrogenlike ions to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in $\alpha Z$. The…

原子物理 · 物理学 2020-01-29 A. V. Malyshev , D. A. Glazov , V. M. Shabaev
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