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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 correction to the hydrogen Lamb shift due to the proton electric and magnetic polarizabilities is expressed analytically through their static values, which are known from experiment. The numerical value of the correction to the hydrogen…

Atomic Physics · Physics 2009-10-31 I. B. Khriplovich , R. A. Sen'kov

We study two-photon contribution to the elastic lepton-proton scattering, associated with sigma meson exchange, with special attention paid to the low-Q2 region. We show that the corresponding amplitude grows sharply but remains finite at…

High Energy Physics - Phenomenology · Physics 2017-11-08 Dmitry Borisyuk

Currently, both the g factor measurement of the muon as well as the Lamb shift 2S-2P measurement in muonic hydrogen are in disagreement with theory. Here, we investigate possible theoretical explanations, including proton structure effects…

High Energy Physics - Phenomenology · Physics 2012-07-03 U. D. Jentschura

The Lamb shift (2P_{1/2}-2S_{1/2}) in the muonic helium ion (mu ^4_2He)^+ is calculated with the account of contributions of orders alpha^3, alpha^4, alpha^5 and alpha^6. Special attention is given to corrections of the electron vacuum…

High Energy Physics - Phenomenology · Physics 2014-07-10 A. P. Martynenko

We propose a new way to experimentally determine the subleading low-energy structure constant of doubly-virtual Compton scattering on a proton. Such empirical determination will reduce the theoretical model error in estimates of the…

High Energy Physics - Phenomenology · Physics 2020-09-16 Vladyslav Pauk , Carl E. Carlson , Marc Vanderhaeghen

The electromagnetic excitation of the $\Delta(1232)$-resonance plays an appreciable role in the Lamb shift and hyperfine structure of muonic and electronic hydrogen. Its effect appears at the subleading order $\mathcal{O}(\alpha^5)$,…

Nuclear Theory · Physics 2018-07-04 Franziska Hagelstein

We extend the general formalism of two-photon exchange to elastic lepton-nucleon scattering by accounting for all lepton mass terms. We then perform a numerical estimate of the muon-proton scattering at low momentum transfer in view of the…

High Energy Physics - Phenomenology · Physics 2014-07-16 O. Tomalak , M. Vanderhaeghen

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

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

Measurements of the ratio of the proton elastic form factors ($\mu_pG_E/G_M$) using Rosenbluth separation and those using polarization-based techniques show a strong discrepancy, which increases as a function of $Q^2$. The contribution of…

Nuclear Experiment · Physics 2017-12-07 Brian S. Henderson

Compton scattering by the proton has been measured using the tagged-photon facility at MAMI (Mainz) and the large-acceptance arrangement LARA. The new data are interpreted in terms of dispersion theory based on the SAID-SM99K…

We develop a method for lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift. To demonstrate its feasibility, we present the first lattice calculation with a gauge ensemble at $m_\pi = 142$ MeV.…

High Energy Physics - Lattice · Physics 2022-05-11 Yang Fu , Xu Feng , Lu-Chang Jin , Chen-Fei Lu

The "proton radius puzzle" is the 7-standard-deviations difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and elastic electron scattering off the proton on the one side and the high…

Atomic Physics · Physics 2023-04-17 Thomas Walcher

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…

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

The contribution of hadronic vacuum polarization to the Lamb shift in muonic hydrogen is evaluated with the account of modern experimental data on the cross section of $e^+e^-$ annihilation into hadrons. The numerical value of this…

High Energy Physics - Phenomenology · Physics 2011-04-15 R. N. Faustov , A. P. Martynenko

We present an improved evaluation of the two-photon exchange correction to the unpolarized lepton-proton elastic scattering process at very low-energies relevant to the MUSE experiment, where only the dominant intermediate elastic proton is…

High Energy Physics - Phenomenology · Physics 2025-04-02 Rakshanda Goswami , Pulak Talukdar , Bhoomika Das , Udit Raha , Fred Myhrer

The electron Lamb shift $(2P-2S)$ and the energy interval $(2S-1S)$ in muon-electron ions of lithium, beryllium, and boron have been calculated within the framework of the perturbation theory method for the fine structure constant and the…

Atomic Physics · Physics 2021-05-19 A. E. Dorokhov , V. I. Korobov , A. P. Martynenko , F. A. Martynenko