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Calculation of higher-order two-loop corrections is now a limiting factor in development of the bound state QED theory of the Lamb shift in the hydrogen atom and in precision determination of the Rydberg constant. Progress in the study of…

Atomic Physics · Physics 2007-05-23 Vladimir G. Ivanov , Savely G. Karshenboim

Quantum electrodynamics in very strong Coulomb fields is one scope which has not yet been tested experimentally with suffcient accuracy to really determine whether the perturbative approach is valid. One sensitive test is the determination…

We consider three-loop radiative corrections to the Lamb shift and hyperfine splitting. Corrections of order $\alpha^3(Z\alpha)^5m$ are the largest still unknown contributions to the Lamb shift in hydrogen. We calculated radiative…

Atomic Physics · Physics 2008-11-26 Michael I. Eides , Valery A. Shelyuto

A discrepancy in the determination of the proton's charge radius, $r_p$, between muonic hydrogen spectroscopy versus classic atomic spectroscopy and electron scattering data has become known as the proton radius puzzle. Extractions of $r_p$…

Nuclear Experiment · Physics 2023-12-06 Tyler J. Hague , Douglas W. Higinbotham , Spencer Portuese

A detailed examination of issues associated with proton radius extractions from elastic electron-proton scattering experiments is presented. Sources of systematic uncertainty and model dependence in the extractions are discussed, with an…

Nuclear Experiment · Physics 2015-06-03 John Arrington

The recent PSI Lamb shift experiment and the controversy about proton size revived the interest in measuring the hyperfine splitting in muonic hydrogen as an alternative possibility for comparing ordinary and muonic hydrogen spectroscopy…

Atomic Physics · Physics 2015-06-22 Dimitar Bakalov , Andrzej Adamczak , Mihail Stoilov , Andrea Vacchi

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

By using a Coulomb potential modified by the interaction between the magnetic moments of the electron and proton, we have calculated the energy levels of a hydrogen atom. We have obtained fine structure, hyperfine structure and the Lamb…

General Physics · Physics 2015-10-20 Voicu Dolocan

We review determinations of the electric proton charge radius from a diverse set of low-energy observables. We explore under which conditions it can be related to Wilson coefficients of appropriate effective field theories. This discussion…

High Energy Physics - Phenomenology · Physics 2021-10-04 Clara Peset , Antonio Pineda , Oleksandr Tomalak

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 extract the proton charge radius from the elastic form factor (FF) data using a novel theoretical framework combining chiral effective field theory and dispersion analysis. Complex analyticity in the momentum transfer correlates the…

High Energy Physics - Phenomenology · Physics 2019-04-09 J. M. Alarcón , D. W. Higinbotham , C. Weiss , Z. Ye

Leading logarithmic corrections to the difference of Lamb shifts of s-states $E_L(1s)-8E_L(2s)$ and to the life time of $2p_{1/2}$ state are considered. The result of Sokolov and Yakovlev for the Lamb splitting of $2s_{1/2}$ and $2p_{1/2}$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Savely G. Karshenboim , D. I. Mendeleev

In this paper we endeavour to determine the energy levels of an atom by virtue of the modified Dirac equation. It has been found that the energy levels contain an extra term in the expression which accounts for the {\it zitterbewegung}…

General Physics · Physics 2017-05-05 A. Das , B. G. Sidharth

In calculating the energy corrections to the hydrogen levels we can identify two different types of modifications of the Coulomb potential $V_{C}$, with one of them being the standard quantum electrodynamics corrections, $\delta V$,…

Atomic Physics · Physics 2018-10-03 A. D. Bermudez Manjarres , D. Bedoya Fierro , N. G. Kelkar , M. Nowakowski

We determine the third Zemach moment of hydrogen (<r^3>_(2)) using only the world data on elastic electron-proton scattering. This moment dominates the O (Z alpha)^5 hadronic correction to the Lamb shift in muonic atoms. The resulting…

Nuclear Theory · Physics 2009-11-11 J. L. Friar , I. Sick

Off-shell effects in proton electromagnetic vertices can be constrained from their effects on known processes. In particular, parameters in models for the off-shell effects can be determined by fitting to the proton electric and magnetic…

Atomic Physics · Physics 2011-09-20 Carl E. Carlson , Marc Vanderhaeghen

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 trace anomaly contribution to hydrogen atom mass, which turns out to be related to the part of the Lamb shift. This finding might shed new light on our understandings of the mass structure of QCD bound states, such as, proton.

High Energy Physics - Phenomenology · Physics 2021-09-15 Bao-dong Sun , Ze-hao Sun , Jian Zhou

We discuss the role of the so-called Darwin-Foldy term in the evaluation of the proton and deuteron charge radii from atomic hydrogen spectroscopy and nuclear scattering data. The question of whether this term should be included or excluded…

Atomic Physics · Physics 2012-06-29 U. D. Jentschura
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