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We present a state-of-the-art theoretical approach for computing bound-state energies in muonic atoms, incorporating improved quantum electrodynamics effects and nuclear polarization corrections with a systematic assessment of theoretical…

Atomic Physics · Physics 2026-03-24 S. Rathi , I. A. Valuev , Z. Sun , M. Heines , P. Indelicato , B. Ohayon , N. S. Oreshkina

Relying on the redefined vacuum state approach, and based on one-particle three-loop Feynman diagrams, partial third-order interelectronic corrections to the valence electron energy shift are investigated in Li-like ions. The idea is to…

Atomic Physics · Physics 2023-10-20 R. N. Soguel , S. Fritzsche

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The recently developed method combining the configuration interaction and the coupled-cluster method was demonstrated to provide accurate treatment of correlation corrections in divalent atomic systems [M.S.Safronova, M.G.Kozlov, and…

Atomic Physics · Physics 2013-06-12 S. G. Porsev , M. S. Safronova , M. G. Kozlov

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy levels of a charged isotropic harmonic oscillator in the presence of a uniform magnetic field in the z-direction. The extension…

Quantum Physics · Physics 2021-05-19 Muhittin Cenk Eser , Mustafa Riza

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

The muonic vacuum polarization contribution to the $g$-factor of the electron bound in a nuclear potential is investigated theoretically. The electric as well as the magnetic loop contributions are evaluated. We found these muonic effects…

Atomic Physics · Physics 2016-10-06 N. A. Belov , B. Sikora , R. Weis , V. A. Yerokhin , S. Sturm , K. Blaum , C. H. Keitel , Z. Harman

Stimulated by the proton radius conundrum, measurements of the Lamb shift in various light muonic atoms are planned at PSI. The aim is to extract the rms charge radius with high precision, limited by the uncertainty in the nuclear…

Nuclear Theory · Physics 2013-11-06 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea

New corrections to the energy of $S$-levels of positronium of order $m\alpha^6$ which are as large as several hundred kilohertz are obtained. A new recoil correction of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael I. Eides , Howard Grotch

Measuring the 2S-2P Lamb shift in a hydrogen-like muonic atom allows one to extract its nuclear charge radius with a high precision that is limited by the uncertainty in the nuclear structure corrections. The charge radius of the proton…

Nuclear Theory · Physics 2016-05-03 N. Nevo Dinur , C. Ji , S. Bacca , N. Barnea

This work is devoted to a theoretical description of polarized M{\o}ller scattering. Complete one-loop electroweak radiative corrections are calculated in the helicity amplitude approach with allowance for the exact dependence on the muon…

High Energy Physics - Phenomenology · Physics 2022-03-22 S. G. Bondarenko , L. V. Kalinovskaya , L. A. Rumyantsev , V. L. Yermolchyk

The cross-section for ZZ->ZZ with arbitrarily polarized Z bosons is calculated within the electroweak Standard Model including the complete O(alpha) corrections. We show the numerical importance of the radiative corrections and elaborate…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier , T. Hahn

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

We provide a systematic assessment of the order-$\alpha^5$ nuclear contributions to the Lamb shift of muonic deuterium, including the accompanying radiative corrections due to vacuum polarization, up to next-to-next-to-next-to-leading order…

Nuclear Theory · Physics 2022-10-31 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa

Analytical radiative corrections of order (\alpha/\pi)(q/M_1) are calculated for the four-body region of the Dalitz plot of baryon semileptonic decays when the s_1 \cdot p_2 correlation is present. Once the final result is available, it is…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. J. Torres , M. Neri , A. Martinez , A. Garcia , Ruben Flores-Mendieta

In the framework of the quasipotential method the covariant expression for the two-particle vertex operator is obtained. The nuclear structure corrections of orders (Z\alpha)^4, (Z\alpha)^5 including recoil effects to gyromagnetic factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. P. Martynenko

We estimate the radiative corrections of order $\alpha/\pi$ to the magnetic moments of the proton and the neutron. The photon-loop diagram of the vertex-correction type is evaluated with phenomenological nucleon vector form factors.…

Nuclear Theory · Physics 2017-04-26 N. Kaiser

The cross section for $e^-e^- \to e^-e^-$ with arbitrary electron polarizations is calculated within the Electroweak Standard Model for energies large compared to the electron mass, including the complete virtual and soft-photonic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ansgar Denner , Stefano Pozzorini

We study QED corrections to operator matrix elements involving heavy composite particles (e.g., heavy-mesons, nuclei, and atoms). We define a new notion of reducible and irreducible graphs which is useful for systems with many discrete…

High Energy Physics - Phenomenology · Physics 2025-09-19 Ryan Plestid , Mark B. Wise

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm