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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…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. N. Faustov , A. P. Martynenko

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.

High Energy Physics - Phenomenology · Physics 2009-11-10 Savely G. Karshenboim , Vladimir G. Ivanov

Recently, a precise measurement on the bound electron g factor in hydrogen-like carbon was performed [1]. We consider the present status of the theory of the g factor of an electron bound in a hydrogen-like atom and discuss new…

High Energy Physics - Phenomenology · Physics 2007-05-23 Savely G. Karshenboim

We consider the $g$ factor of a spin-1/2 particle (electron or muon) bound by an arbitrary central field. We present an approach which allows one to express the relativistic $g$ factor in terms of the binding energy. We derive the general…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. G. Karshenboim , R. N. Lee , A. I. Milstein

The accurate determination of atomic masses and the high-precision measurement of the bound-electron g factor are prerequisites for the determination of the electron mass, which is one of the fundamental constants of nature. In the 2002…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura , A. Czarnecki , K. Pachucki , V. A. Yerokhin

The energy levels of the muonium ($\mu^+ e^-$) atom, which consists of two ''point-like'' leptonic particles, can be calculated to very high accuracy in the framework of bound state Quantum Electrodynamics (QED), since there are no…

Atomic Physics · Physics 2016-09-08 Klaus P. Jungmann

Magnetic moments of bound-electron systems are a sensitive tool for testing fundamental interactions. $g$ factors of lithium-like ions have been rigorously studied in recent years, enabling insights into the relativistic inter-electronic…

We study the influence of constant magnetic field combined with a field induced by the external thermal environment on the atomic decay rates. The importance of radiative corrections, including magnetic interaction, is demonstrated for…

Atomic Physics · Physics 2025-09-11 D. Solovyev , T. Zalialiutdinov

The paper presents the current status of the theory of bound-electron g factor in highly charged ions. The calculations of the relativistic, QED, nuclear recoil, nuclear structure, and interelectronic-interaction corrections to the g factor…

Atomic Physics · Physics 2015-08-04 V. M. Shabaev , D. A. Glazov , G. Plunien , A. V. Volotka

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…

High Energy Physics - Phenomenology · Physics 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

We determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that the g-factor is modified by a term -0.51(1)alpha^2,…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yi Liang , Paul L. McGrath , Andrzej Czarnecki

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…

High Energy Physics - Phenomenology · Physics 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

The use of high-precision measurements of the $g$ factor of single-electron ions is considered as a detailed probe for physics beyond the Standard Model. The contribution of the exchange of a hypothetical force-carrying scalar boson to the…

Atomic Physics · Physics 2025-12-22 Matteo Moretti , Christoph H. Keitel , Zoltán Harman

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…

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

The two-loop self-energy correction to the bound-electron $g$-factor in hydrogenlike ions is investigated, taking into account the electron-nucleus interaction exactly. This all-order calculation is required to improve the total theoretical…

Atomic Physics · Physics 2025-05-01 Bastian Sikora , Vladimir A. Yerokhin , Christoph H. Keitel , Zoltán Harman

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…

High Energy Physics - Phenomenology · Physics 2010-12-13 Andrzej Czarnecki , Matthew Dowling , Jorge Mondejar , Jan H. Piclum

The use of high-precision measurements of the $g$ factor of few-electron ions and its isotope shifts is put forward as a probe for physics beyond the Standard Model. The contribution of a hypothetical fifth fundamental force to the $g$…

Atomic Physics · Physics 2019-01-23 V. Debierre , C. H. Keitel , Z. Harman

A weighted difference of the $g$-factors of the Li- and H-like ion of the same element is studied and optimized in order to maximize the cancellation of nuclear effects. To this end, a detailed theoretical investigation is performed for the…

Atomic Physics · Physics 2016-08-10 V. A. Yerokhin , E. Berseneva , Z. Harman , I. I. Tupitsyn , C. H. Keitel

A weighted difference of the $g$-factors of the H- and Li-like ions of the same element is theoretically studied and optimized in order to maximize the cancelation of nuclear effects between the two charge states. We show that this weighted…

Atomic Physics · Physics 2016-03-18 V. A. Yerokhin , E. Berseneva , Z. Harman , I. I. Tupitsyn , C. H. Keitel

Some recent precision experiments in low energy muon physics are discussed. Spectroscopy on the muonium atom, the bound state of a positve muon and an electron, has provided precise tests of standard theory and yielded most precise values…

Nuclear Experiment · Physics 2016-09-08 Klaus P. Jungmann
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