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We calculate vacuum polarization corrections to the binding energies in neutral alkali atoms Na through to the superheavy element E119. We employ the relativistic Hartree-Fock method to demonstrate the importance of relaxation of the…

Atomic Physics · Physics 2016-05-04 J. S. M. Ginges , J. C. Berengut

We illuminate the importance of a self-consistent many-body treatment in calculations of vacuum polarization corrections to the energies of atomic orbitals in many-electron atoms. Including vacuum polarization in the atomic Hamiltonian…

Atomic Physics · Physics 2009-11-10 Andrei Derevianko , Boris Ravaine , W. R. Johnson

Radiative corrections to electronic structure are characterized by perturbative expansions in $\alpha$ and $Z\alpha$, where $\alpha$ is the fine-structure constant and $Z$ is the nuclear charge. A formulation of the leading-order…

Atomic Physics · Physics 2024-08-08 D. J. Flynn , I. P. Grant , H. M. Quiney

The finite basis set method is commonly used to calculate atomic spectra, including QED contributions such as bound-electron self-energy. Still, it remains problematic and underexplored for vacuum-polarization calculations. We fill this gap…

Atomic Physics · Physics 2024-09-19 V. K. Ivanov , S. S. Baturin , D. A. Glazov , A. V. Volotka

The effect of vacuum polarization on the parity violating asymmetry in the elastic electron-nucleus scattering is considered. Calculations are performed in the high-energy approximation with an exact account for the electric field of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. I. Milstein , O. P. Sushkov

Effects of vacuum polarization modify the energy levels in atoms with an orbiting particle heavier than an electron. The dominant effect is due to the Uehling potential. In this paper we consider the relativistic corrections to the energy…

Atomic Physics · Physics 2015-06-26 E. Yu. Korzinin , V. G. Ivanov , S. G. Karshenboim

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 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

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l=n-1). The result is obtained in a closed…

Atomic Physics · Physics 2009-11-11 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov

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

We present calculations of the one-loop vacuum polarization correction (Uehling potential) for the three-body problem in the NRQED formalism. The case of one-electron molecular systems is considered. Numerical results of the vacuum…

Atomic Physics · Physics 2017-05-03 J. -Ph. Karr , L Hilico , Vladimir Korobov

The method has been developed to calculate effects of polarization not only for a atomic core in a field of valent electron, but also polarization of atom as a whole in the electron-hole formalism. A secondary quantized density matrix for…

Quantum Physics · Physics 2007-05-23 Halina V. Grushevskaya , Leonid I. Gurskii

Complete vacuum polarization calculations incorporating finite nuclear size are presented for hydrogenic ions with principal quantum numbers n=1-5. Lithiumlike, sodiumlike, and copperlike ions are also treated starting with Kohn-Sham…

Atomic Physics · Physics 2009-11-10 J. Sapirstein , K. T. Cheng

The vacuum-polarization correction for bound electrons or muons is examined. The objective is to formulate a framework for calculating the correction from bound-state quantum electrodynamics entirely in coordinate space, including the…

Quantum Physics · Physics 2015-06-18 Paul Indelicato , Peter J. Mohr , J. Sapirstein

Vacuum polarization corrections to the energy levels of bound electrons are calculated using a perturbative path integral formalism. We apply quantum electrodynamics in a framework which treats the strong binding nuclear field to all…

Atomic Physics · Physics 2023-09-26 Sreya Banerjee , Zoltán Harman

Vacuum polarization screening corrections to the ground state energy of two-electron ions are calculated in the range $Z=20-100$. The calculations are carried out for a finite nucleus charge distribution.

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

In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle--anti-particle pair creation to the field of a classical point-like…

High Energy Physics - Phenomenology · Physics 2026-05-07 T. Azevedo , F. A. Barone , C. Farina , R. de Melo e Souza , G. Zarpelon

Core-polarization interactions are investigated in low-energy electron elastic scattering from the atoms In,Sn,Eu,Au and At through the calculation of their electron affinities. The complex angular momentum method wherein is embedded the…

Atomic Physics · Physics 2015-10-07 Z. Felfli , A. Z. Msezane

A number of properties of the Uehling potential are investigated. In particular, we determine the Fourier spatial resolution of the Uehling potential. The lowest-order correction on vacuum polarisation is re-written in terms of the electron…

Atomic Physics · Physics 2013-10-08 Alexei M. Frolov

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb…

High Energy Physics - Phenomenology · Physics 2024-09-30 B. Ohayon , U. D. Jentschura
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