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The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static muon approximation and a part of the paper is devoted…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov , V. A. Shelyuto

We calculate the corrections of orders alpha^3, alpha^4 and alpha^5 to the Lamb shift of the 1S and 2S energy levels of muonic hydrogen (mu p) and muonic deuterium (mu d). The nuclear structure effects are taken into account in terms of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. Martynenko

The proton polarizability correction to the Lamb shift of electronic and muonic hydrogen is calculated on the basis of isobar model and experimental data on the structure functions of deep inelastic lepton-nucleon scattering. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. P. Martynenko

The recent conundrum with the proton charge radius inspires reconsideration of the corrections that enter into determinations of the proton size. We study the two-photon proton-structure corrections, with special consideration of the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Carl E. Carlson , Marc Vanderhaeghen

The nuclear size effect on the one-loop self energy and vacuum polarization is evaluated for the 1s, 2s, 3s, 2p_{1/2}, and 2p_{3/2} states of hydrogen-like ions. The calculation is performed to all orders in the binding nuclear strength…

Atomic Physics · Physics 2015-05-20 Vladimir A. Yerokhin

We consider one-loop light-by-light-scattering contributions to the Lamb shift of the $1s, 2s, 2p$ states in light muonic hydrogen like atoms at $Z\leq10$. The contributions are of the order $\alpha^5m_\mu$ (with diverse dependence on the…

Accurate calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms are presented. Numerical results are reported for the $ns$ states with $n \leq 5$ and for the $2p_{1/2}$ and $2p_{3/2}$ states. The calculations are…

Atomic Physics · Physics 2016-08-03 V. A. Yerokhin , V. M. Shabaev

The extraction of nuclear charge radii from spectroscopy experiments in muonic atoms is currently limited by the large uncertainties associated with the theoretical evaluation of the nuclear polarizability effects. To facilitate…

Nuclear Theory · Physics 2022-10-10 Simone Salvatore Li Muli , Bijaya Acharya , Oscar Javier Hernandez , Sonia Bacca

The discovery of the proton-radius puzzle and the subsequent deuteron-radius puzzle is fueling an on-going debate on possible explanations for the difference in the observed radii obtained from muonic atoms and from electron-nucleus…

Nuclear Theory · Physics 2017-12-15 Oscar Javier Hernandez , Sonia Bacca , Kyle Andrew Wendt

Contributions to the energy levels in light muonic atoms and, in particular, to the Lamb shift fall into a few well-distinguished classes. The related diagrams are calculated using different approaches. In particular, there is a specific…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , V. G. Ivanov , E. Yu. Korzinin , V. A. Shelyuto

Recent progress in laser and x-ray spectroscopy of muonic atoms offers promising long-term possibilities at the intersection of atomic, nuclear and particle physics. In muonic hydrogen, laser spectroscopy measurements will determine the…

Weak interaction contributions to hyperfine splitting and Lamb shift in light electronic and muonic atoms are calculated. We notice that correction to hyperfine splitting turns into zero for deuterium. Weak correction to the Lamb shift in…

Atomic Physics · Physics 2012-07-05 Michael I. Eides

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory. We use these results to compute the two-photon polarizability contribution to…

Nuclear Theory · Physics 2020-09-18 Samuel B. Emmons , Chen Ji , Lucas Platter

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

Transition rates for coherent muon-electron conversion in muonic atoms, mu+N --> e+N, are computed for various types of muon number violating interactions. Attention is paid to relativistic atomic effects, Coulomb distortion, finite nuclear…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , William J. Marciano , Kirill Melnikov

New unification theories predict Large Extra Dimensions (LEDs). If that is the case, gravity would be stronger at short ranges than what Newtonian gravity predicts. LEDs could also have effects at atomic level. In this paper we propose a…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Li zhigang , Wei-Tou Ni , Antonio Pulido Paton

My previous calculations of the Lamb shift in muonic hydrogen are reviewed and compared with other work. In addition, numerical results for muonic deuterium are presented.

Atomic Physics · Physics 2007-05-23 E. Borie

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 present knowledge of Lamb shift, fine- and hyperfine structure of the $\mathrm{2S}$ and $\mathrm{2P}$ states in muonic deuterium is reviewed in anticipation of the results of a first measurement of several $\mathrm{2S-2P}$ transition…