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An algorithm, based on numerical description of the terms of many-body perturbation theory (Goldstone diagrams), is presented. The algorithm allows the use of the same piece of computer code to evaluate any particular diagram in any…

Atomic Physics · Physics 2015-05-13 V. A. Dzuba

The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections…

Quantum Physics · Physics 2022-10-19 Sören Breidenbach , Eugen Dizer , Halil Cakir , Zoltán Harman

The leading long-distance quantum correction to the Newtonian potential for heavy spinless particles is computed in quantum gravity. The potential is obtained directly from the sum of all graviton exchange diagrams contributing to lowest…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Hamber , S. Liu

The hyperfine structure of bound electrons in hydrogen-like ions is considered with corrections to the energy levels due to vacuum polarization (VP). Corrections to the wave function as well as the magnetic potential are determined for both…

Atomic Physics · Physics 2024-10-15 Junis Heiland Hoyo , Bastian Sikora

An eight-component formalism is proposed for the relativistic two-fermion problem. In QED, it extends the applicability of the Dirac equation with hyperfine interaction to the positronium case. The use of exact relativistic two-body…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ruth Haeckl , Viktor Hund , Hartmut Pilkuhn

We have investigated the correction to the hyperfine structure of heavy multicharged ions, which is connected with the nuclear-polarization effect caused by the unpaired bound electron. Numerical calculations are performed for hydrogenlike…

Atomic Physics · Physics 2009-11-07 A. V. Nefiodov , G. Plunien , G. Soff

This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through an extension of the classical mechanics approach to a more general context, which in some sense, includes the…

Quantum Physics · Physics 2019-10-17 Fabio Botelho

High-p_T pion and kaon production is studied in relativistic proton-proton, proton-nucleus, and nucleus-nucleus collisions in a wide energy range. Cross sections are calculated based on perturbative QCD, augmented by a phenomenological…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Zhang , G. Fai , G. Papp , G. G. Barnafoldi , P. Levai

We investigate radiative corrections to K --> 3 pi decays. In particular, we extend the non-relativistic framework developed recently to include real and virtual photons and show that, in a well-defined power counting scheme, the results…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bissegger , A. Fuhrer , J. Gasser , B. Kubis , A. Rusetsky

Recently observed rare heavy ion fusion processes, where the entire available energy is carried away by a single pion, is an example of extreme collectivity in nuclear reactions. We calculate the cross section in the approximation of sudden…

Nuclear Theory · Physics 2008-11-26 Alexander Volya , Scott Pratt , Vladimir Zelevinsky

The Fisher-Shannon complexity is used to quantitatively estimate the contribution of relativistic effects to on the internal disorder of Klein-Gordon single-particle Coulomb systems which is manifest in the rich variety of three-dimensional…

Quantum Physics · Physics 2010-11-15 Daniel Manzano , Sheila López-Rosa , Jesús Sánchez-Dehesa

A new approach to the electroweak properties of two-particle composite systems is developed. The approach is based on the use of the instant form of relativistic Hamiltonian dynamics. The main novel feature of this approach is the new…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. F. Krutov , V. E. Troitsky

We present the most accurate calculation for the pion and kaon electromagnetic form factors in the framework of perturbative QCD, where the power corrections up to twist-4 of the meson distribution amplitudes and the next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2019-08-07 Shan Cheng

To search for the temporal variation of the fundamental constants one needs to know dependence of atomic transition frequencies on these constants. We study the dependence of the hyperfine structure of atomic $s$-levels on nuclear radius…

Atomic Physics · Physics 2010-11-02 T. H. Dinh , A. Dunning , V. A. Dzuba , V. V. Flambaum

The electromagnetic form factors of $\pi$ and $K$ mesons and deuteron are calculated in modified impulse approximation using instant form of relativistic Hamiltonian dynamics. The different model wave functions are used. Meson wave function…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. F. Krutov , V. E. Troitsky

The purpose of this article is twofold. First, we attempt to give a brief overview of the different application areas of quantum electrodynamics (QED). These include fundamental physics (prediction of atomic energy levels), where the atom…

Atomic Physics · Physics 2014-01-17 U. D. Jentschura

We present and discuss a systematic calculation, based on two-loop chiral perturbation theory, of the pion-nuclear s-wave optical potential. A proper treatment of the explicit energy dependence of the off-shell pion self-energy together…

Nuclear Theory · Physics 2009-11-07 E. E. Kolomeitsev , N. Kaiser , W. Weise

Within the lowest-order relativistic approximation ($\sim v^2/c^2$) and to first order in $m_e/M$, the tensorial form of the relativistic corrections of the nuclear recoil Hamiltonian is derived, opening interesting perspectives for…

Atomic Physics · Physics 2015-05-28 E. Gaidamauskas , C. Nazé , P. Rynkun , G. Gaigalas , P. Jönsson , M. Godefroid

In most simulations of nonrelativistic nuclear systems, the wave functions found solving the many-body Schr\"odinger equations describe the quantum-mechanical amplitudes of the nucleonic degrees of freedom. In those simulations the pionic…

Nuclear Theory · Physics 2018-10-01 Lucas Madeira , Alessandro Lovato , Francesco Pederiva , Kevin E. Schmidt

We perform a theoretical study of vacuum polarization corrections to the hyperfine structure in many-electron atoms. Calculations are performed for systems of interest for precision atomic tests of fundamental physics belonging to the…

Atomic Physics · Physics 2025-03-24 J. C. Hasted , C. J. Fairhall , O. R. Smits , B. M. Roberts , J. S. M. Ginges
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