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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

Static properties of hadrons such as their radii and other moments of the electric and magnetic distributions can only be extracted using theoretical methods and not directly measured from experiments. As a result, discrepancies between the…

High Energy Physics - Phenomenology · Physics 2016-09-16 N. G. Kelkar , T. Mart , M. Nowakowski

The standard procedure of extracting the proton root-mean-square radii from models for the Sachs form factors $G_e (q)$ and $G_m (q)$ fitted to elastic electron-proton scattering data %has a serious flaw. is more uncertain than…

Nuclear Experiment · Physics 2015-06-22 Ingo Sick , Dirk Trautmann

The proton radius puzzle remains a key challenge in modern physics, highlighting both the precision and limitations of current experimental and theoretical approaches. Recent studies, such as those by Xiong et al. and Bezginov et al., have…

Nuclear Experiment · Physics 2025-01-22 Roland B. Lumpay , Jade C. Jusoy , Ruel Apas , Eulogio Auxtero

We determine the root-mean-square proton charge radius, $R_{\rm p}$, from a fit to low-$Q^2$ electron-proton elastic scattering cross section data with the higher moments fixed (within uncertainties) to the values predicted by chiral…

Nuclear Theory · Physics 2017-03-29 Marko Horbatsch , Eric A. Hessels , Antonio Pineda

The proton radius puzzle has motivated several new experiments that aim to extract the proton charge radius and resolve the puzzle. Recently PRad, a new electron-proton scattering experiment at Jefferson Lab, reported a proton charge radius…

High Energy Physics - Phenomenology · Physics 2021-07-22 Gil Paz

We study the world data on elastic electron-proton scattering in order to determine the proton charge rms-radius. After accounting for the Coulomb distortion and using a parameterization that allows to deal properly with the higher moments…

Nuclear Experiment · Physics 2008-11-26 Ingo Sick

We determine the charge radius of the proton by analyzing the published low momentum transfer electron-proton scattering data from Mainz. We note that polynomial expansions of the form factor converge for momentum transfers squared below…

Nuclear Experiment · Physics 2016-06-28 Keith Griffioen , Carl Carlson , Sarah Maddox

Several recent publications claim that the proton charge {\em rms}-radius resulting from the analysis of electron scattering data restricted to {\em low} momentum transfer agrees with the radius determined from muonic hydrogen, in contrast…

Nuclear Experiment · Physics 2017-02-01 Ingo Sick , Dirk Trautmann

The proton size, specifically its charge radius, was thought known to about 1% accuracy. Now a new method probing the proton with muons instead of electrons finds a radius about 4% smaller, and to boot gives an uncertainty limit of about…

High Energy Physics - Phenomenology · Physics 2015-05-20 Carl E. Carlson

The Proton Radius Puzzle refers to the ~7{\sigma} discrepancy that exists between the proton charge radius determined from muonic hydrogen and that determined from electronic hydrogen spectroscopy and electron-proton scattering. One…

Nuclear Experiment · Physics 2014-10-29 E. Kraus , K. E. Mesick , A. White , R. Gilman , S. Strauch

The proton radius puzzle is known as the discrepancy of the proton radius, obtained from muonic hydrogen spectroscopy (obtained as being roughly equal to 0.84fm), and the proton radius obtained from (ordinary) hydrogen spectroscopy where a…

Atomic Physics · Physics 2023-04-14 Ulrich D. Jentschura

The methods of Bayesian statistics are used to extract the value of the proton radius from the elastic $ep$ scattering data in a model independent way. To achieve that goal a large number of parametrizations (equivalent to neural network…

High Energy Physics - Phenomenology · Physics 2015-05-15 Krzysztof M. Graczyk , Cezary Juszczak

We perform a new analysis of electron-proton scattering data to determine the proton electric and magnetic radii, enforcing model-independent constraints from form factor analyticity. A wide-ranging study of possible systematic effects is…

High Energy Physics - Phenomenology · Physics 2015-07-29 Gabriel Lee , John R. Arrington , Richard J. Hill

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

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

High-precision measurements of the proton radius from laser spectroscopy of muonic hydrogen demonstrated up to six standard deviations smaller values than obtained from electron-proton scattering and hydrogen spectroscopy. The status of…

In 1963, a proton radius of $0.805(11)~\mathrm{fm}$ was extracted from electron scattering data and this classic value has been used in the standard dipole parameterization of the form factor. In trying to reproduce this classic result, we…

Nuclear Experiment · Physics 2020-03-10 Miha Mihovilovic , Douglas W. Higinbotham , Melisa Bevc , Simon Sirca

The relationship between the electric form factors for the proton in the rest frame and in the Breit momentum frame is used to provide a value for the difference in the mean squared charge radius of the proton evaluated in the two frames.…

Nuclear Theory · Physics 2015-01-28 D. Robson
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