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We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius,…

High Energy Physics - Phenomenology · Physics 2021-05-19 L. Zalavari , C. P. Burgess , P. Hayman , M. Rummel

It has been a notably elusive task to find a remotely sensical ansatz for a calculation of Sommerfeld's electrodynamic fine-structure constant alpha_QED ~ 1/137.036 based on first principles. However, this has not prevented a number of…

High Energy Physics - Phenomenology · Physics 2014-12-23 U. D. Jentschura , I. Nandori

Details of the two-loop analysis of long-distance QED radiative corrections to neutron beta decay are presented. Explicit expressions are given for hard, jet, and soft functions appearing in the factorization formula that describes the…

High Energy Physics - Phenomenology · Physics 2025-08-11 Zehua Cao , Richard J. Hill , Ryan Plestid , Peter Vander Griend

The atomic properties of heavy, moderately-charged ions are important for a wide variety of applications, including precision tests of fundamental physics and for the study and development of atomic and nuclear clocks. In these systems it…

Atomic Physics · Physics 2026-02-20 Andoni Skoufris , Benjamin M. Roberts

A systematic QED treatment of electron correlation is presented for ions along the lithium isoelectronic sequence. We start with the zeroth-order approximation that accounts for a part of the electron-electron interaction by a local model…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in…

Atomic Physics · Physics 2015-06-17 V. A. Yerokhin , C. H. Keitel , Z. Harman

Detailed comparisons between theory and experiment for quantum electrodynamics (QED) effects in He-like ions have been performed in the literature to search for hints of new physics. Different frequentist statistical analyses of the…

Comparison of precision frequency measurements to quantum electrodynamics (QED) predictions for Rydberg states of hydrogen-like ions can yield information on values of fundamental constants and test theory. With the results of a calculation…

Atomic Physics · Physics 2009-02-02 U. D. Jentschura , P. J. Mohr , J. N. Tan , B. J. Wundt

A simple method to compute QED bound state properties is presented, in which binding energy effects are treated non-perturbatively. It is shown that to take the effects of all ladder Coulomb photon exchanges into account, one can simply…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Pestieau , C. Smith

The quantum electrodynamic theory of the nuclear recoil effect in atoms to all orders in \alpha Z is formulated. The nuclear recoil corrections for atoms with one and two electrons over closed shells are considered in detail. The problem of…

Atomic Physics · Physics 2008-11-26 V. M. Shabaev

Measurements of energy separations in highly charged ions can in many cases nowadays be performed with very high accuracy, an accuracy that sometimes cannot be matched by the corresponding theoretical calcula- tions. Furthermore, it has…

Atomic Physics · Physics 2013-01-01 Ingvar Lindgren , Sten Salomonson , Johan Holmberg

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

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

A general algebraic method of quantum corrections evaluation is presented. Quantum corrections to a few classical solutions (kinks and periodic) of Ginzburg-Landau (phi-in-quadro) and Sin-Gordon models are calculated in arbitrary…

Quantum Physics · Physics 2008-04-09 Sergey Leble , Anatolij Zaitsev

We discuss recent \emph{ab initio} calculations based on self-consistent Green's function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate…

Nuclear Theory · Physics 2018-03-14 Carlo Barbieri , Francesco Raimondi , Christopher McIlroy

We investigate generalized quantum electrodynamics (GQED), a higher-derivative extension of QED in (3+1)D. We perform its dimensional reduction to (2+1)D by confining the Dirac current to a plane while allowing the gauge field to propagate…

High Energy Physics - Theory · Physics 2025-11-13 Carlos A. P. C. Junior , Leandro O. Nascimento , Van Sérgio Alves

Starting from the Weyl gauge formulation of quantum electrodynamics (QED), the formalism of quantum-mechanical gauge fixing is extended using techniques from nonrelativistic QED. This involves expressing the redundant gauge degrees of…

Quantum Physics · Physics 2013-06-17 Adam Stokes

Within a light-cone QCD formalism based on the Green function technique incorporating color transparency and coherence length effects we study nuclear shadowing in deep-inelastic scattering at moderately small Bjorken x_{Bj}. Calculations…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Nemchik

Green's functions in Physics have proven to be a valuable tool for understanding fundamental concepts in different branches, such as electrodynamics, solid-state and many -body problems. In quantum mechanics advanced courses, Green's…

Physics Education · Physics 2022-10-05 William J. Herrera , Herbert Vinck-Posada , Shirley Gomez Paez

We report the implementation of effective QED potentials for all-electron 4-component relativistic molecular calculations using the DIRAC code. The potentials are also available for 2-component calculations, proper picture-change being…

Chemical Physics · Physics 2022-11-09 Ayaki Sunaga , Maen Salman , Trond Saue
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