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Related papers: On the proton charge extensions

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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

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 measurement of the 2P^{F=2}_{3/2} to 2S^{F=1}_{1/2} transition in muonic hydrogen by Pohl et al. and subsequent analysis has led to the conclusion that the rms radius of the proton differs from the accepted (CODATA) value by…

Atomic Physics · Physics 2011-08-15 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

It is shown that the account for the proton charge form factor in the Coulomb corrections to the electron-proton scattering cross section noticeably diminishes the difference between the value of the proton charge radius $r_{\mathrm{E}}$,…

High Energy Physics - Phenomenology · Physics 2014-02-14 R. N. Lee , A. I. Milstein

We have studied the effects of the Standard-Model Extension (SME) on hydrogen as a realization of new physics effects that incorporate Lorentz and CPT violation. Specifically, we calculated the SME-induced energy level shifts at order…

High Energy Physics - Phenomenology · Physics 2015-06-12 Theodore J. Yoder , Gregory S. Adkins

The nuclear shape correction to the g factor of a bound electron in 1S-state is calculated for a number of nuclei in the range of charge numbers from Z=6 up to Z=92. The leading relativistic deformation correction has been derived…

Atomic Physics · Physics 2015-05-30 J. Zatorski , N. S. Oreshkina , C. H. Keitel , Z. Harman

A global analysis of proton electric form factor experimental data from Rosenbluth separation and low squared four-momentum transfer experiments is discussed for the evaluation of the spatial moments of the proton charge density based on…

Nuclear Experiment · Physics 2025-01-07 M. Atoui , M. B. Barbaro , M. Hoballah , C. Keyrouz , M. Lassaut , D. Marchand , G. Quéméner , E. Voutier

For a translation invariant system of $N$ bosons in the Gross-Pitaevskii regime, we establish a precise bound for the ground state energy $E_N$. While the leading, order $N$, contribution to $E_N$ has been known since [30,28] and the second…

Mathematical Physics · Physics 2025-06-09 Cristina Caraci , Alessandro Olgiati , Diane Saint Aubin , Benjamin Schlein

To comply with the critique of the Comment [J. Arrington, arXiv:1602.01461], we consider another modification of the proton electric form factor, which resolves the "proton-radius puzzle". The proposed modification satisfies all the…

High Energy Physics - Phenomenology · Physics 2016-03-09 Franziska Hagelstein , Vladimir Pascalutsa

We introduce an effective field theory approach that describes the motion of finite size objects under the influence of electromagnetic fields. We prove that leading order effects due to the finite radius $R$ of a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Chad R. Galley , Adam K. Leibovich , Ira Z. Rothstein

We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Mustafa Moumni , Achour BenSlama , Slimane Zaim

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in…

Atomic Physics · Physics 2015-06-17 V. A. Yerokhin , C. H. Keitel , Z. Harman

In a recent paper, Hagelstein and Pascalutsa examine the error associated with an expansion of proton structure corrections to the Lamb shift in terms of moments of the charge distribution. They propose a small modification to a…

High Energy Physics - Phenomenology · Physics 2016-03-09 J. Arrington

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. We show that higher order…

High Energy Physics - Phenomenology · Physics 2008-05-26 E. A. Kuraev , Yu. Bystritskiy , S. Bakmaev , V. V. Bytev , E. Tomasi-Gustafsson

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

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

The finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic…

Atomic Physics · Physics 2009-11-07 D. A. Glazov , V. M. Shabaev

State-dependent quantum electrodynamic corrections are evaluated for the hyperfine splitting of nS states for arbitrary principal quantum number n. The calculations comprise both the self-energy and the vacuum-polarization correction of…

Atomic Physics · Physics 2007-05-23 Ulrich D. Jentschura , Vladimir A. Yerokhin

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. A. Kuraev , A. I. Ahmadov , Yu. M. Bystritskiy , E. Tomasi-Gustafsson

Finite nuclear size (FNS) effects on the magnetic-dipole hyperfine splitting in muonic hydrogenlike ions are investigated within a fully relativistic Dirac framework. The FNS contribution is quantified through the correction factor…

Atomic Physics · Physics 2026-05-12 Doğa Yaşar , Bastian Sikora
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