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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 show that the charge radii of neighboring atomic nuclei, independent of atomic number and charge, follow remarkably very simple relations, despite the fact that atomic nuclei are complex finite many-body systems governed by the laws of…

Nuclear Theory · Physics 2014-11-25 B. H. Sun , Y. Lu , J. P. Peng , C. Y. Liu , Y. M. Zhao

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

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

In light of the proton radius puzzle, the discrepancy between measurements of the proton charge radius from muonic hydrogen and those from electronic hydrogen and electron-proton scattering measurements, we reexamine the charge radius…

Nuclear Experiment · Physics 2015-05-12 John Arrington , Ingo Sick

Sophisticated high-energy and large momentum-transfer scattering experiments combined with ab-initio calculations can reveal the short-distance behavior of nucleon pairs in nuclei. On an opposite energy and resolution scale, elastic…

Nuclear Theory · Physics 2019-02-19 Ronen Weiss , Axel Schmidt , Gerald A. Miller , Nir Barnea

Background: Precise measurements of atomic transitions affected by electron-nucleus hyperfine interactions offer sensitivity to explore basic properties of the atomic nucleus and study fundamental symmetries, including the search for new…

Nuclear Theory · Physics 2023-06-06 Paul-Gerhard Reinhard , Witold Nazarewicz

Up to now, all charge radius measurements of the proton and deuteron assumed uniform spheroidal charge distribution. We investigate the nuclear deformation effects on these charge radius measurements by assuming a uniform prolate charge…

High Energy Physics - Phenomenology · Physics 2019-11-05 Yonghui Lin , Bingsong Zou

The question of the determination of the proton charge radius $R_p$ from electron scattering data led to an unprecedented experimental effort for measurements of the electric form factor of the proton at low and very low momentum transfer…

Nuclear Experiment · Physics 2019-09-04 M. Hoballah , S. Cholak , R. Kunne , C. Le Galliard , D. Marchand , G. Quéméner , E. Voutier , J. van de Wiele

We present a dispersion theoretical analysis of recent date from electron-proton scattering. This allows for a high-precision extraction of the electric and magnetic radius of the proton, $r_E = (0.839\pm 0.002{}^{+0.002}_{-0.003})$~fm and…

High Energy Physics - Phenomenology · Physics 2022-02-18 Yong-Hui Lin

Changes in the mean-square nuclear charge radii along the lithium isotopic chain were determined using a combination of precise isotope shift measurements and theoretical atomic structure calculations. Nuclear charge radii of light elements…

The existing experimental data for the deuteron charge radius are discussed. The data of elastic electron scattering are inconsistent with the value obtained in a recent atomic physics experiment. Theoretical predictions based on a…

Nuclear Theory · Physics 2009-10-30 A. J. Buchmann , H. Henning , P. U. Sauer

Constraints from analyticity are combined with experimental electron-proton scattering data to determine the proton charge radius. In contrast to previous determinations, we provide a systematic procedure for analyzing arbitrary data…

High Energy Physics - Phenomenology · Physics 2010-12-24 Richard J. Hill , Gil Paz

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

The electromagnetic polarizabilities of the nucleon are fundamental properties that describe its response to external electric and magnetic fields. They can be extracted from Compton-scattering data --- and have been, with good accuracy, in…

High-precision laser spectroscopy of atomic energy levels enables the measurement of nuclear properties. Sensitivity to these properties is particularly enhanced in muonic atoms which are bound systems of a muon and a nucleus. Exemplary is…

Atomic Physics · Physics 2016-08-12 Aldo Antognini

We present a high-accuracy calculation of the deuteron structure radius in chiral effective field theory. Our analysis employs the state-of-the-art semilocal two-nucleon potentials and takes into account two-body contributions to the charge…

Nuclear Theory · Physics 2020-03-06 A. A. Filin , V. Baru , E. Epelbaum , H. Krebs , D. Möller , P. Reinert

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

The charge radius of the proton is typically determined from electron-proton scattering by extracting the proton's electric form factor and then making use of the derivative of that form factor at zero four-momentum transfer. Unfortunately,…

Nuclear Experiment · Physics 2023-02-16 Benjamin Boone , Michael Chen , Kevin Sturm , Justin Yoo , Douglas Higinbotham