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Related papers: The Uehling correction to the energy levels in a p…

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One loop electroweak radiative corrections to left-right parity violating M{\o}ller scattering ($e^-e^-\to e^-e^-$) asymmetries are presented. They reduce the standard model (tree level) prediction by 40$\pm 3$ \% where the main shift and…

High Energy Physics - Phenomenology · Physics 2016-08-24 Andrzej Czarnecki , William J. Marciano

Recent progress in calculations of QED radiative corrections to parity nonconservation in atoms is reviewed. The QED vacuum polarization, the self-energy corrections and the vertex corrections are shown to be described very reliably by…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Yu. Kuchiev , V. V. Flambaum

In bound systems whose constituent particles are heavier than the electron, the dominant radiative correction to energy levels is given by light-fermion (electronic) vacuum polarization. In consequence, relativistic and recoil corrections…

High Energy Physics - Phenomenology · Physics 2026-04-07 G. S. Adkins , U. D. Jentschura

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels…

Atomic Physics · Physics 2018-10-29 D. T. Aznabaev , A. K. Bekbaev , Vladimir I. Korobov

As known, electron vacuum polarization by nuclear Coulomb field produces Uehling potential with the range $\hbar/2m_e c$. Similarly, neutrino vacuum polarization by $Z$ boson field produces long range potential $\sim G^2/r^5$ with the large…

High Energy Physics - Phenomenology · Physics 2022-08-31 V. A. Dzuba , V. V. Flambaum , P. Munro-Laylim

Processes of electron-positron annihilation into charged pions and kaons are considered. Radiative corrections are taken into account exactly in the first order and within the leading logarithmic approximation in higher orders. A combined…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. B. Arbuzov , V. A. Astakhov , A. V. Fedorov , G. V. Fedotovich , E. A. Kuraev , N. P. Merenkov

The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an…

Atomic Physics · Physics 2025-09-03 Zoia A. Mandrykina , Moritz Thierfeld , Natalia S. Oreshkina

We report calculations of the one-loop self-energy correction to the bound-electron $g$ factor of the $1s$ and $2s$ states of light hydrogen-like ions with the nuclear charge number $Z \le 20$. The calculation is carried out to all orders…

Atomic Physics · Physics 2017-06-28 V. A. Yerokhin , Z. Harman

We look at an electron in the field of an arbitrary external potential $V$, such that the Schr\"odinger operator $p^2 + V$ has at least one eigenvalue, and show that by coupling to a quantized radiation field the binding energy increases,…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl

The analytic equation of state of nonideal Coulomb plasmas consisting of pointlike ions immersed in a polarizable electron background (physics/9807042) is improved, and its applicability range is considerably extended. First, the fit of the…

Astrophysics · Physics 2008-11-26 A. Y. Potekhin , G. Chabrier

We describe atoms by a pseudo-relativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction, exists. It turns out to be lower than in the…

Mathematical Physics · Physics 2008-02-12 Rupert L. Frank , Heinz Siedentop , Simone Warzel

The two-loop self-energy correction is evaluated to all orders in Z alpha for the ground-state Lamb shift of H-like ions with Z >= 20, where Z is the nuclear charge number and alpha is the fine structure constant. The results obtained are…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Relativistic tunnel ionization of atoms by intense, elliptically polarized light is considered. The relativistic version of the Landau-Dykhne formula is employed. The general analytical expression is obtained for the relativistic…

Atomic Physics · Physics 2009-10-31 J. Ortner

Several new corrections of order $m\alpha^6$ to the energy levels of $S$ states in helium are obtained from radiative corrections to the Breit potential and from the polarization insertions in the two photon exchange graphs. While…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael I. Eides , Howard Grotch

Complete one-loop electroweak radiative corrections to the cross section of the process $e^+e^- \to \mu^-\mu^+ (\tau^-\tau^+)$ are evaluated with the help of the \SANC system. Higher-order contributions of the initial state radiation are…

High Energy Physics - Phenomenology · Physics 2022-11-08 A. Arbuzov , S. Bondarenko , Ya. Dydyshka , L. Kalinovskaya , L. Rumyantsev , R. Sadykov , V. Yermolchyk , U. Yermolchyk

The electromagnetic corrections to the low energy scattering amplitude involving charged pions only are investigated at leading and next-to-leading orders in the two-flavour chiral expansion. As an application, the corresponding variation…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Knecht , A. Nehme

A simple, approximate relation is found between the total energy of a free atom and its atomic number: E ~= -Z^{2.411}. The existence of this index is inherent in the Coulomb and many-body nature of the electron-electron interaction in the…

Chemical Physics · Physics 2016-09-08 W. T. Geng

We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut-off scheme for the pion loop integrals based on spectral function regularization. We show that this method…

Nuclear Theory · Physics 2014-11-18 Evgeny Epelbaum , Walter Glöckle , Ulf-G. Meißner

The electron-electron interaction correction of first order in $1/Z$ to the one-electron part of the nuclear recoil effect on binding energies in atoms and ions is considered within the framework of the rigorous QED approach. The…

Recent developments have seen the application of finite Gaussian basis sets to the $\alpha(Z\alpha)^{n\geq3}$ vacuum polarization. The energy shift for $s$ and $p$ electron states have been tabulated and their convergence investigated. In…

Atomic Physics · Physics 2026-04-28 Haisum Hayat , Harry M. Quiney