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We present numerical values for the self-energy shifts predicted by QED (Quantum Electrodynamics) for hydrogenlike ions (nuclear charge $60 \le Z \le 110$) with an electron in an $n=3$, 4 or 5 level with high angular momentum ($5/2\le j \le…

Atomic Physics · Physics 2009-11-07 Eric-Olivier Le Bigot , P. Indelicato , P. J. Mohr

The energy correction associated with the self-energy diagram is the leading (in magnitude) and fundamental (in significance) contribution to the Lamb shift in highly charged ions. Conventional approaches to this correction rely on…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , E. O. Lazarev , D. A. Glazov , A. V. Malyshev , A. V. Volotka

The one-loop self-energy correction to the 1s electron g factor is evaluated to all orders in Z\alpha with an accuracy, which is essentially better than that of previous calculations of this correction. As a result, the uncertainty of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Electron motion in an oblique shock wave is studied by means of a one-dimensional, relativistic, electromagnetic, particle simulation code with full ion and electron dynamics. It is found that an oblique shock can produce electrons with…

Plasma Physics · Physics 2009-10-31 Naoki Bessho , Yukiharu Ohsawa

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

The $1/Z$-expansion for the Coulomb system of infinitely massive center of charge Z and two electrons is discussed. Numerical deficiency in Baker et al, {\em Phys. Rev. \bf A41}, 1247 (1990) is indicated which continue to raise doubts in…

Quantum Physics · Physics 2013-12-17 J. C. Lopez Vieyra , A. V. Turbiner

We present an ab initio calculation of the screened self-energy correction for (1s)^2 2p3/2 and (1s)^2 2s states of Li-like ions with nuclear charge numbers in the range Z = 12-100. The evaluation is carried out to all orders in the…

Atomic Physics · Physics 2009-11-10 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev , G. Plunien , G. Soff

The analytical calculation of the complete $\alpha\,(Z\,\alpha)^6$ one-loop radiative correction to energies of two-body systems with the angular momenta $l>0$, consisting of a pointlike particle and an extended-size nucleus with arbitrary…

Atomic Physics · Physics 2024-08-13 Vojtěch Patkóš , Krzysztof Pachucki

Motivated by the results of the electroweak precision experiments, studies of two-loop self-energy Feynman diagrams are performed. An algebraic method for the reduction of all two-loop self-energies to a set of standard scalar integrals is…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Bauberger , F. A. Berends , M. Böhm , M. Buza , G. Weiglein

The corrections of order (Z alpha)^6m_1/m_2 and (Z alpha)^7 from one-loop two-photon exchange diagrams to the energy spectra of the hydrogenic atoms are calculated with the help of the Taylor expansion of corresponding integrands. The…

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

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

In this paper, we investigate the electron self-energy and effective mass in a single heterostructure using Green-function method. Numerical calculations of the electron self-energy and effective mass for GaAs/AlAs heterostructure are…

Materials Science · Physics 2009-11-07 Xiu-Kun Hua , Yin-Zhong Wu , Zhen-Ya Li

The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , R. V. Popov , V. M. Shabaev , N. A. Zubova

We compute the next-to-leading order (NLO) hard correction to the gluon self-energy tensor with arbitrary soft momenta in a hot and/or dense weakly coupled plasma in Quantum Chromodynamics. Our diagrammatic computations of the two-loop and…

High Energy Physics - Phenomenology · Physics 2023-11-14 Tyler Gorda , Risto Paatelainen , Saga Säppi , Kaapo Seppänen

We commence the evaluation of the one- and two-loop binding corrections to the $g factor for an electron in a hydrogenlike system of order alpha^2 (Z alpha)^5 and consider diagrams with closed fermion loops. The one-loop vacuum-polarization…

High Energy Physics - Phenomenology · Physics 2009-09-26 U. D. Jentschura

A part of the two-loop self-energy correction, the so-called P term, is evaluated numerically for the 1s state to all orders in Z\alpha. Our calculation, combined with the previous investigation [S. Mallampalli and J. Sapirstein, Phys. Rev.…

Atomic Physics · Physics 2009-11-07 V. A. Yerokhin , V. M. Shabaev

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…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , U. D. Jentschura

We investigate the asymptotic properties of higher-order binding corrections to the one-loop self-energy of excited states in atomic hydrogen. We evaluate the historically problematic A60 coefficient for all P states with principal quantum…

We perform ab initio QED calculations of energy levels for the $n=1$ and $n=2$ states of He-like ions with the nuclear charge in the range $Z = 12$-100. The complete set of two-electron QED corrections is evaluated to all orders in the…

Atomic Physics · Physics 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff

We present the results of direct simulation of the expansionof a two-component ultracold plasmafor various numbers of particles, densities, and electron temperatures. A description of the expansionprocess common to all plasma parameters is…

Plasma Physics · Physics 2021-07-28 E. V. Vikhrov , S. Ya. Bronin , B. B. Zelener , B. V. Zelener