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Pohl et al. measured the energy difference between the 2P and 2S states of muonic hydrogen and used it to determine a precise value of the proton radius. The result disagreed significantly from values extracted from electronic hydrogen and…

Nuclear Experiment · Physics 2026-04-28 Gerald A. Miller

The proton radius puzzle questions the self-consistency of theory and experiment in light muonic and electronic bound systems. Here, we summarize the current status of virtual particle models as well as Lorentz-violating models that have…

High Energy Physics - Phenomenology · Physics 2015-07-29 U. D. Jentschura

The proton radius puzzle, the discrepancy between the proton radius measured in muonic hydrogen and electronic hydrogen, has yet to be resolved. There are suggestions that beyond the standard model (BSM) physics could resolve both this…

High Energy Physics - Phenomenology · Physics 2015-12-02 Carl E. Carlson , Michael Freid

We propose a short summary of the present situation concerning the proton spin decomposition. We briefly discuss some of the main controversies about the issues of gauge invariance, uniqueness and measurability. As a conclusion, we argue…

High Energy Physics - Phenomenology · Physics 2022-03-02 Cédric Lorcé

The proton radius has been measured in electron-proton scattering experiments and laser based spectroscopy of muonic hydrogen. The latter method is based on the precise calculations for the atomic energy levels in the approximation of…

High Energy Physics - Experiment · Physics 2021-12-02 Vitaly Baturin , Igor Strakovsky

We analyze the recent electron-proton scattering data from Mainz using a dispersive framework that respects the constraints from analyticity and unitarity on the nucleon structure. We also perform a continued fraction analysis of these…

High Energy Physics - Phenomenology · Physics 2012-11-07 I. T. Lorenz , H. -W. Hammer , Ulf-G. Meißner

The Proton Radius Puzzle is the inconsistency between the proton radius determined from muonic hydrogen and the proton radius determined from atomic hydrogen level transitions and ep elastic scattering. No generally accepted resolution to…

I summarize the dispersion-theoretical analysis of the nucleon electromagnetic form factors. Special emphasis is given on the extraction of the proton charge radius and its relatives, the proton magnetic radius as well as the neutron…

High Energy Physics - Phenomenology · Physics 2022-11-11 Ulf-G. Meißner

The charge radius of the proton can be determined using two different kinds of experiments: the spectroscopy technique, measuring the hyperfine structure of hydrogen atoms, and the scattering technique, deducing the radius from elastic…

Nuclear Theory · Physics 2023-10-03 M. Atoui , M. B. Barbaro , M. Hoballah , C. Keyrouz , R. Kunne , M. Lassaut , D. Marchand , G. Quemener , E. Voutier

A number of lines of investigation into the structure of the nucleon have converged to the point where we believe that one has a consistent explanation of the well known proton spin crisis.

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Myhrer , A. W. Thomas

This paper concerns the most intriguing question of modern atomic physics: determination of the proton root-mean-square (rms) charge radius ($r_p$). This problem was announced by the difference in $r_p$ values extracted from the experiments…

Atomic Physics · Physics 2018-11-05 D. Solovyev

A possible explanation for the discrepancy between electronic and muonic hydrogen measurements of the proton charge radius are new, lepton-universality violating interactions. Several new couplings and particles have been suggested that…

High Energy Physics - Phenomenology · Physics 2014-02-12 Carl E. Carlson , Benjamin C. Rislow

The proton spin puzzle has challenged our understanding of QCD for the last 20 years. We survey new developments in theory and experiment. The proton spin puzzle seems to be telling us about the interplay of valence quarks with chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 Steven D. Bass

This article reviews our present understanding of the QCD spin structure of the proton. We first outline the proton spin puzzle and its possible resolution in QCD. We then review the present and next generation of experiments to resolve the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Steven D. Bass

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

Determination of the proton charge radius by different methods has produced an inconsistency. The most precise value (from spectroscopy of muonic hydrogen) strongly disagrees with three less accurate values (from spectroscopy of ordinary…

High Energy Physics - Phenomenology · Physics 2015-03-05 Savely G. Karshenboim

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

A potential explanation [U.~D.~Jentschura, Phys.\ Rev.\ A {\bf 88}, 062514 (2013)] of the proton radius puzzle originating from the non-perturbative lepton-pair content of the proton is studied. Well-defined quantities that depend on this…

Nuclear Theory · Physics 2015-05-27 Gerald A. Miller

The proton-radius puzzle refers to the discrepancy observed in measurements of the proton's charge radius when using different methods. This inconsistency has prompted extensive research and debate within the physics community, as it…

High Energy Physics - Phenomenology · Physics 2025-04-01 The MMGPDs Collaboration , Muhammad Goharipour , Fatemeh Irani , Hadi Hashamipour , K. Azizi

Understanding the spin structure of the proton is one of the main challenges in hadronic physics. While the concepts of spin and orbital angular momentum are pretty clear in the context of non-relativistic quantum mechanics, the…

High Energy Physics - Phenomenology · Physics 2015-04-21 Cédric Lorcé