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A puzzling discrepancy exists between the values of the proton charge radius obtained using different experimental techniques: elastic electron-proton scattering and spectroscopy of electronic and muonic hydrogen. The proton radius is…

Nuclear Experiment · Physics 2022-03-07 Alexander V. Gramolin , Rebecca L. Russell

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

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

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

The study of protons, fundamental constituents of atomic nuclei, is crucial for understanding nuclear physics and fundamental forces. This review examines advancements in extracting electromagnetic form factors, essential for probing proton…

Nuclear Experiment · Physics 2025-02-25 Gerome A. Paterez , Jade C. Jusoy , Edmar Pantohan , Eulogio Auxtero

To extract the charge radius of the proton, $r_{p}$, from the electron scattering data, the PRad collaboration at Jefferson Lab has developed a rigorous framework for finding the best functional forms - the fitters - for a robust extraction…

The elastic electron-proton scattering data are analysed in order to determine proton charge and magnetic rms radii, r_E and r_M. Along with the usual statistical error, we try to estimate a systematic error in the radii, caused by the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Dmitry Borisyuk

The proton is a fundamental constituent of matter. It is an extended object with finite size that can be inferred with some degree of accuracy from several measurements. Using constraints from the analytic behavior of the form factors we…

High Energy Physics - Phenomenology · Physics 2015-11-03 Joydeep Roy , Zachary Epstein , Gil Paz

The charge radius is one of the most basic characteristics of the nucleons. The proton charge radius is especially of great importance for many applications such as the structure studies of the atomic nuclei, the determination of the…

We present a novel method for extracting the proton radius from elastic electron-proton ($ep$) scattering data. The approach is based on interpolation via continued fractions augmented by statistical sampling and avoids any assumptions on…

High Energy Physics - Phenomenology · Physics 2021-09-01 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

We show that in previous analyses of electron-proton scattering, the uncertainties in the statistical procedure to extract the proton charge radius are underestimated. Using a fit function based on a conformal mapping, we can describe the…

High Energy Physics - Phenomenology · Physics 2014-08-28 I. T. Lorenz , U. -G. Meißner

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 propose an experiment for an accurate measurement of the proton radius. A key feature of our proposal is an iron-free magnetic spectrometer. Projected systematics uncertainties will allow a 1% level accuracy for the $r_p$ value.

Nuclear Experiment · Physics 2015-10-06 B. Wojtsekhowski

The angular distribution of the differential cross sections for proton elastic scattering from $^{132}$Sn at 196-210 MeV/nucleon was successfully measured over a momentum transfer range of 0.80 to 2.1 fm$^{-1}$. Using a relativistic impulse…

Forthcoming fixed-target coherent elastic neutrino-nucleus scattering experiments aim at measurements with $\cal{O}(\text{tonne})$-scale detectors and substantially reduced systematic and statistical uncertainties. With such high quality…

High Energy Physics - Phenomenology · Physics 2023-08-30 D. Aristizabal Sierra

Proton and neutron density profiles of 760 nuclei in the mass region of A=16-304are analyzed using the Skyrme energy density for the parameter set SLy4. Simple formulae are obtained to fit the resulting radii and diffuseness data. These…

Nuclear Theory · Physics 2015-12-09 W. M. Seif , Hesham Mansour

We have determined the proton and the neutron charge radii from a global analysis of the proton and the neutron elastic form factors, after first performing a flavor decomposition of these form factors under charge symmetry in the light…

Nuclear Experiment · Physics 2021-02-24 H. Atac , M. Constantinou , Z. -E. Meziani , M. Paolone , N. Sparveris

The Standard Model (SM) of particle physics effectively explains most observed phenomena, though some anomalies, especially in the neutrino sector, suggest the need for extensions. In this Letter, we perform the first global fit of elastic…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mattia Atzori Corona , Matteo Cadeddu , Nicola Cargioli , Francesca Dordei , Carlo Giunti , Christoph A. Ternes

Extracting the proton charge radius from electron scattering data requires determining the slope of the charge form factor at $Q^2$ of zero. But as experimental data never reach that limit, numerous methods for making the extraction have…