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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

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

We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in…

Quantum Physics · Physics 2007-05-23 G. Plunien , T. Beier , G. Soff , H. Persson

Leading-order electromagnetic loop corrections to the one-pion-exchange potential are computed within the framework of chiral perturbation theory. These corrections generate an effective nucleon-nucleon potential, $V_{\pi \gamma}$, which…

Nuclear Theory · Physics 2008-11-26 U. van Kolck , M. C. M. Rentmeester , J. L. Friar , T. Goldman , J. J. de Swart

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

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated. Analytical derivation of this formula is based on the…

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

Adjusting a previously developed Grotch-type approach to a perturbative calculation of the electronic vacuum-polarization effects in muonic atoms, we find here the two-loop vacuum polarization relativistic recoil correction of order…

Atomic Physics · Physics 2014-11-04 Savely G. Karshenboim , Evgeny Yu. Korzinin , Vladimir G. Ivanov

The recoil correction to the ground state energy of hydrogenlike atoms is calculated to all orders in \alpha Z in the range Z = 1-110. The nuclear size corrections to the recoil effect are partially taken into account. In the case of…

Atomic Physics · Physics 2009-10-30 V. M. Shabaev , A. N. Artemyev , T. Beier , G. Plunien , V. A. Yerokhin , G. Soff

I consider the so-called nuclear polarization correction to the 1S-levels in light to intermediate muonic atoms. An easy to use recipe to compute it is given. The calculation includes the effect of the nucleon polarization, i.e. the…

Nuclear Theory · Physics 2026-01-07 Mikhail Gorchtein

The theory of electron holes is extended into the quantum regime. The Wigner--Poisson system is solved perturbatively based in lowest order on a weak, standing electron hole. Quantum corrections are shown to lower the potential amplitude…

Plasma Physics · Physics 2009-11-10 A. Luque , H. Schamel , R. Fedele

Based on classical electrodynamics, it is argued that the Coulomb potential (which is strictly valid for two point charges at rest), commonly used in the study of energy levels of hydrogen atom is not the correct one, because the electron…

General Physics · Physics 2012-01-11 Harihar Behera

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

The quadratic Zeeman effect is calculated for the ground $^2P_{1/2}$ state of light boron-like ions in the range of nuclear-charge numbers $Z = 10-24$. The calculations are performed in the Furry picture using three models for the…

Atomic Physics · Physics 2026-05-11 V. A. Agababaev , A. V. Volotka , D. A. Glazov , A. V. Malyshev , M. M. Osiptsov , V. M. Shabaev

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

Corrections $\sim \alpha^2 $ to the positronium decay rate, induced by one--loop vacuum polarization diagram, are calculated. Their relative values are $0.4468(3)(\alpha/\pi)^2$ for para- and $0.960(3)(\alpha/\pi)^2$ for orthopositronium.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Burichenko , D. Yu. Ivanov

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

We calculate the optical phonon correction to the binding energy of electrons to donors in cubic materials. Previous theories calculated the Rydberg energy reduced by the effective mass and the static dielectric function. They omitted an…

Materials Science · Physics 2015-06-03 G. D. Mahan , Kristian Berland

The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Z\alpha expression for the recoil shift of the energy, I calculate the order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Yelkhovsky

We outline a general formalism for treating vacuum polarization phenomena within an effective field expansion. The coupling between source charges and virtual fields is examined from the perspectives of electrostatic potentials, induced…

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

Recently we calculated relativistic recoil corrections to the energy levels of the low lying states in muonic hydrogen induced by electron vacuum polarization effects. The results were obtained by Breit-type and Grotch-type calculations.…

Atomic Physics · Physics 2014-11-04 Savely G. Karshenboim , Vladimir G. Ivanov , Evgeny Yu. Korzinin