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In connection with recent and proposed experiments, and new theoretical results, my previous calculations of the Lamb shift in muonic hydrogen will be reviewed and compared with other work. In addition, numerical results for muonic…

Atomic Physics · Physics 2014-08-22 E. Borie

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

Improved measurements of the proton's structure are now possible thanks to significant technical advances that allow us to probe the proton with polarized photons. These measurements have shown that the proton is not as simple as previously…

Nuclear Experiment · Physics 2015-06-11 J. Arrington

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb…

The work is devoted to a consideration of the different determinations of the proton charge radius. It is demonstrated that the results from the elastic electron-proton scattering have to be of a higher uncertainty. A review of the hydrogen…

High Energy Physics - Phenomenology · Physics 2009-10-30 Savely G. Karshenboim

We review the theory of the Lamb shift for muonium, provide an updated numerical value and present the prospects of the Mu-MASS collaboration at PSI to improve upon their recent measurement. Due to its smaller nuclear mass, the…

Atomic Physics · Physics 2022-07-20 Gianluca Janka , Ben Ohayon , Paolo Crivelli

We re-evaluate the matrix element for the proton-proton reaction which is important for stellar-evolution calculations and for the solar-neutrino problem. We self-consistently determine the effect of vacuum polarization on the matrix…

Astrophysics · Physics 2009-10-22 Marc Kamionkowski , John N. Bahcall

The HJET Polarized Atomic Hydrogen Gas Jet Target polarimeter (HJET) polarimeter was designed to measure the absolute polarization of the proton beams at the Relativistic Heavy Ion Collider. In these measurements, the small scattering angle…

High Energy Physics - Phenomenology · Physics 2019-12-25 A. A. Poblaguev

We quantify a limitation in the usual accounting of the finite-size effects, where the leading $[(Z\alpha)^4]$ and subleading $[(Z\alpha)^5]$ contributions to the Lamb shift are given by the mean-square radius and the third Zemach moment of…

High Energy Physics - Phenomenology · Physics 2015-04-29 Franziska Hagelstein , Vladimir Pascalutsa

The "proton radius puzzle" was recently solved by reducing the four-standard deviation discrepancy between the results for electronic hydrogen ($H$) and muonic hydrogen ($\mu H$) atoms to $3.3$ value. The value of the root-mean-square…

Atomic Physics · Physics 2021-03-30 D. Solovyev , T. Zalialiutdinov , A. Anikin

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

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

We show how the "proton radius puzzle" emerging from the measurement of the Lamb shift in muonic hydrogen may be solved by means of a binding energy contribution due to an effective Yukawian gravitational potential related to charged weak…

High Energy Physics - Phenomenology · Physics 2015-06-18 Roberto Onofrio

Nuclear-size corrections of order $(Z \alpha)^5$ and $(Z \alpha)^6$ to the S-state levels of hydrogenic atoms are considered. These nuclear-elastic contributions are somewhat smaller than the polarizability (nuclear-inelastic) corrections…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , G. L. Payne

The ratio of the proton's elastic electromagnetic form factors was obtained by measuring the transverse and longitudinal polarizations of recoiling protons from the elastic scattering of polarized electrons with unpolarized protons. The…

Nuclear Experiment · Physics 2008-11-26 The Jefferson Lab Hall A Collaboration , M. K. Jones

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new experimental data on the $e^+e^-$ hadrons annihilation cross…

High Energy Physics - Phenomenology · Physics 2021-12-30 V. P. Gerdt , A. Karimkhodzhaev , R. N. Faustov

Background: The recent disagreement between the proton charge radius extracted from Lamb shift measurements of muonic and electronic hydrogen invites speculation that new physics may be to blame. Several proposals have been made for new…

High Energy Physics - Phenomenology · Physics 2013-05-30 Carl E. Carlson , Benjamin C. Rislow

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

The results and main steps of an analytic calculation of radiative-recoil corrections of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen are presented. The calculations are performed in the infrared safe Yennie gauge. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The Lamb shift in muonic hydrogen continues to be a subject of experimental and theoretical investigation. Here my older work on the subject is updated to provide a complementary calculation of the energies of the 2p-2s transitions in…

Atomic Physics · Physics 2012-08-14 E. Borie
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