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The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch

The proton-polarizability contribution to the muonic-hydrogen Lamb shift is a major source of theoretical uncertainty in the extraction of the proton charge radius. An empirical evaluation of this effect, based on the proton structure…

High Energy Physics - Phenomenology · Physics 2021-10-11 Franziska Hagelstein , Vladimir Pascalutsa

We use the world data on elastic electron scattering on 3He and 4He to determine the Zemach moments <r>_(2) and <r^3>_(2). These quantities are required to interpret the Lamb shift and HFS data of muonic Helium presently being measured at…

Nuclear Experiment · Physics 2015-06-23 Ingo Sick

Motivated by the ATOMKI anomalies in 8Be and 4He transitions, we study X17-induced Lamb shifts and hyperfine splittings in muonic atoms with stable nuclei up to Z <= 15. The bound-state problem is solved within the Gaussian Expansion Method…

Atomic Physics · Physics 2026-03-03 Xiaoxuan Lin , Qian Wu , Wei Kou , Xurong Chen

We use recently evaluated radiative and nonperturbative corrections to production of heavy quarks by a vector current to give very precise theoretical calculations of the high energy ($t^{1/2}\geq \sqrt{2}$ GeV) imaginary part of the photon…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Adel , F. J. Ynduráin

The recoil, vacuum polarization and electron vertex corrections of first and second orders in the fine structure constant $\alpha$ and the ratio of electron to muon and electron to \alpha-particle masses are calculated in the hyperfine…

High Energy Physics - Phenomenology · Physics 2013-05-30 A. A. Krutov , A. P. Martynenko

We calculate the nuclear structure corrections to the Lamb shift in muonic deuterium by using state-of-the-art nucleon-nucleon potentials derived from chiral effective field theory. Our calculations complement previous theoretical work…

Nuclear Theory · Physics 2014-08-19 Oscar Javier Hernandez , Chen Ji , Sonia Bacca , Nir Nevo Dinur , Nir Barnea

We investigate the Lamb shift of centripetally accelerated atoms coupled to electromagnetic vacuum fluctuations. Focusing on a very small orbital radius (so that the tangential speed remains nonrelativistic and the proper centripetal…

Quantum Physics · Physics 2026-03-09 Yan Peng , Jiawei Hu , Hongwei Yu

A new evaluation of the hadronic vacuum polarization contribution to the muon magnetic moment is presented. We take into account the reanalysis of the low-energy e+e- annihilation cross section into hadrons by the CMD-2 Collaboration. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , S. Eidelman , A. Hocker , Z. Zhang

The relativistic second-order corrections at orders $m\alpha^6$ and $m\alpha^6(m/M)$ in hydrogen molecular ions are calculated. Convergence of numerical results is studied, which allows estimating the relative numerical uncertainty to be…

Atomic Physics · Physics 2025-06-30 Vladimir I. Korobov , Jean-Philippe Karr , Zhen-Xiang Zhong

Using the gauge/gravity duality, we compute the leading order hadronic (HLO) contribution to the anomalous magnetic moment of muon, amu(HLO). Holographic renormalization is used to obtain a finite vacuum polarization. We find amu(HLO)…

High Energy Physics - Phenomenology · Physics 2010-04-21 Deog Ki Hong , Doyoun Kim , Shinya Matsuzaki

We merge the dispersive relation approach and the ab initio method to compute nuclear structure corrections to the Lamb shift in muonic deuterium. We calculate the deuteron response functions and corresponding uncertainties up to…

Nuclear Theory · Physics 2021-02-05 Bijaya Acharya , Vadim Lensky , Sonia Bacca , Mikhail Gorchtein , Marc Vanderhaeghen

Applying Discretized Light Cone Quantization, we perform the first calculation of the spectrum of true muonium, the $\mu^+ \mu^-$ atom, as modified by the inclusion of an $|e\bar e >$ Fock component. The shift in the mass eigenvalue is…

High Energy Physics - Phenomenology · Physics 2014-11-13 Henry Lamm , Richard F. Lebed

Following updates in the compilation of $e^+e^-\rightarrow{\rm hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_\mu$) and…

High Energy Physics - Phenomenology · Physics 2020-02-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

When the hydrogen atom moves, the proton current generates a magnetic field which interacts with the hydrogen electron. A simple analyze shows that this interaction between the hydrogen momentum and the electron is of order of…

Atomic Physics · Physics 2018-08-29 A. I. Agafonov

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , A. P. Martynenko

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated starting from the Dirac equation and splitting the spinor into large and small components. The results depend on $Z^8$ and a cut-off $\Lambda$.…

High Energy Physics - Theory · Physics 2007-05-23 G. Lambiase , G. Papini , G. Scarpetta

We compute an $\mathcal{O}\left(\alpha^2(Z\alpha)^6\right)$ contribution to the hydrogen-atom Lamb shift arising from the light-by-light scattering. Analogous diagrams, with one atomic electric field insertion replaced by an external…

Atomic Physics · Physics 2016-12-21 Andrzej Czarnecki , Robert Szafron

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon…

Atomic Physics · Physics 2009-11-06 U. D. Jentschura , K. Pachucki

We present improved theoretical calculations of transition frequencies for the fundamental transitions $(L\!=\!0,v\!=\!1)\to(L'\!=\!0,v'\!=\!0)$ in the hydrogen molecular ions H$_2^+$ and HD$^+$ with a relative uncertainty $4\cdot10^{-11}$…

Atomic Physics · Physics 2017-02-20 V. I. Korobov , L. Hilico , J. -P. Karr