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We report an investigation of the self-energy screening effects for the $g$ factor of the ground state of Li-like ions. The leading screening contribution of the relative order $1/Z$ is calculated to all orders in the binding nuclear…

Atomic Physics · Physics 2020-09-08 V. A. Yerokhin , K. Pachucki , M. Puchalski , 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…

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

The theory of the g factor of an electron bound to a deformed nucleus is considered non-perturbatively and results are presented for a wide range of nuclei with charge numbers from Z=16 up to Z=98. We calculate the nuclear deformation…

Atomic Physics · Physics 2019-01-16 Niklas Michel , Jacek Zatorski , Natalia S. Oreshkina , Christoph H. Keitel

The quantum electrodynamic (QED) description of light-and-matter interaction is one of the most fundamental theories of physics and has been shown to be in excellent agreement with experimental results. Specifically, measurements of the…

The bound-electron g factor is a stringent tool for tests of the Standard Model and the search for new physics. The comparison between an experiment on the g factor of lithiumlike silicon and the two recent theoretical values revealed the…

Atomic Physics · Physics 2022-03-23 V. P. Kosheleva , A. V. Volotka , D. A. Glazov , D. V. Zinenko , S. Fritzsche

The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for…

Atomic Physics · Physics 2015-05-14 V. A. Yerokhin

The nuclear recoil effect on the $g$ factor of Li-like ions is evaluated. The one-electron recoil contribution is treated within the framework of the rigorous QED approach to first order in the electron-to-nucleus mass ratio $m/M$ and to…

Atomic Physics · Physics 2018-01-03 V. M. Shabaev , D. A. Glazov , A. V. Malyshev , I. I. Tupitsyn

We compute the two-loop mixed QCD-Electroweak corrections to $q \overline{q} \to H g$ and its crossed channels $q g \to H q$, $\overline{q} g \to H \overline{q}$, limiting ourselves to the contribution of light virtual quarks. We compute…

High Energy Physics - Phenomenology · Physics 2022-07-18 Marco Bonetti , Erik Panzer , Lorenzo Tancredi

Self-energy corrections involving logarithms of the parameter Zalpha can often be derived within a simplified approach, avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , I. Nandori

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…

Classical Physics · Physics 2018-06-07 Jaromir Chalupsky

We compute the two-loop electroweak correction to the production of the Higgs boson in gluon fusion to higher orders in the dimensional-regularization parameter $\epsilon = (d-4)/2$. We employ the method of differential equations to compute…

High Energy Physics - Phenomenology · Physics 2017-03-08 Marco Bonetti , Kirill Melnikov , Lorenzo Tancredi

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…

Atomic Physics · Physics 2009-11-13 D. L. Moskovkin , V. M. Shabaev , W. Quint

Within a fully relativistic framework, the one-loop self-energy correction for a bound electron is derived and extended to incorporate the effects of external thermal radiation. In a series of previous works, it was shown that in quantum…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , D. A. Solovyev , A. A. Bobylev , D. A. Glazov , T. A. Zalialiutdinov

We investigate electron-correlation effects in the $g$-factor of the ground state of Li-like ions. Our calculations are performed within the nonrelativistic quantum electrodynamics (NRQED) expansion up to two leading orders in the…

Atomic Physics · Physics 2017-07-05 V. A. Yerokhin , K. Pachucki , M. Puchalski , Z. Harman , C. H. Keitel

Calculations of various corrections to the g factor of Li-like ions are presented, which result in a significant improvement of the theoretical accuracy in the region Z = 6-92. The configuration-interaction Dirac-Fock method is employed for…

Atomic Physics · Physics 2007-05-23 D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn , A. V. Volotka , V. A. Yerokhin , G. Plunien , G. Soff

The one-loop self-energy correction to the hyperfine structure splitting of the 1s and 2s states of hydrogenlike ions is calculated both for the point and finite nucleus. The results of the calculation are combined with other corrections to…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , V. M. Shabaev , A. N. Artemyev

The nuclear recoil effect to the g factor of boron-like ions is investigated. The one-photon-exchange correction to the nuclear recoil effect is calculated in the non-relativistic approximation for the nuclear recoil operator and in the…

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

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

Atomic Physics · Physics 2023-10-10 T. Zalialiutdinov , D. Solovyev

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