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The proton structure and proton polarizability corrections to the Lamb shift of electronic hydrogen and muonic hydrogen were evaluated on the basis of modern experimental data on deep inelastic structure functions. Numerical value of proton…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Faustov , A. P. Martynenko

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

Nuclear Theory · Physics 2015-06-11 Gerald A. Miller

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 is $ - 71 \pm…

Nuclear Theory · Physics 2008-02-03 I. B. Khriplovich , R. A. Sen'kov

Hadronic deuteron polarizability correction to the Lamb shift of muonic deuterium is calculated on the basis of unitary isobar model and modern experimental data on the structure functions of deep inelastic lepton-deuteron scattering and…

High Energy Physics - Phenomenology · Physics 2016-06-14 A. V. Eskin , R. N. Faustov , A. P. Martynenko , F. A. Martynenko

The calculation of hadronic polarizability contribution of the nucleus to hyperfine structure of muonic hydrogen and helium is carried out within the unitary isobar model and experimental data on the polarized structure functions of deep…

High Energy Physics - Phenomenology · Physics 2017-11-03 A. V. Eskin , A. P. Martynenko , E. N. Elekina

We assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant $\bar T(0,Q^2)$ that is necessary for a dispersive evaluation of the forward doubly-virtual…

Nuclear Theory · Physics 2015-06-15 Mikhail Gorchtein , Felipe J. Llanes-Estrada , Adam P. Szczepaniak

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

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

We calculate the amplitude T_1 for forward doubly-virtual Compton scattering in heavy-baryon chiral perturbation theory, to fourth order in the chiral expansion and with the leading contribution of the gammaNDelta form factor. This provides…

High Energy Physics - Phenomenology · Physics 2012-12-12 Michael C. Birse , Judith A. McGovern

The contribution of the proton polarizability to the ground state hyperfine splitting in the hydrogen atom is evaluated on the basis of isobar model and evolution equations for the parton distributions. The contributions of the Born terms,…

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

The proton structure effects, including finite size, polarizability and self-energy is considered and their influence on energy levels of muonic hydrogen is recalculated. A new theoretical prediction for the Lamb shift is presented together…

Atomic Physics · Physics 2009-10-31 Krzysztof Pachucki

We compute the spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at one loop using heavy baryon chiral perturbation theory and dispersion relations. We study the relation between both…

High Energy Physics - Phenomenology · Physics 2008-11-26 David Nevado , Antonio Pineda

We review the current state of knowledge of the nucleon polarizabilities and of their role in nucleon Compton scattering and in hydrogen spectrum. We discuss the basic concepts, the recent lattice QCD calculations and advances in chiral…

Nuclear Theory · Physics 2016-03-23 Franziska Hagelstein , Rory Miskimen , Vladimir Pascalutsa

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

Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure quantities (form factors, structure…

Nuclear Theory · Physics 2023-01-09 Aldo Antognini , Franziska Hagelstein , Vladimir Pascalutsa

The contribution of \Delta isobar to the correction on proton polarizability in the hyperfine splitting of hydrogen and muonic hydrogen is calculated with the account of the experimental data on N-\Delta transition form factors.

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Faustov , A. P. Martynenko , V. A. Saleev

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 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

Theoretical calculations of the Lamb shift provide the basis required for the determination of the Rydberg constant from spectroscopic measurements in hydrogen. The recent high-precision determination of the proton charge radius drastically…

Atomic Physics · Physics 2019-08-19 Vladimir A. Yerokhin , Krzysztof Pachucki , Vojtech Patkos

The contribution of virtual excitations to the energy levels of electronic and muonic hydrogen is investigated combining a model-independent approach for the main part with quark model predictions for the remaining corrections. Precise…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Rosenfelder
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