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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

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

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

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

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

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

We extract the proton magnetic radius from the high-precision electron-proton elastic scattering cross section data. Our theoretical framework combines dispersion analysis and chiral effective field theory and implements the dynamics…

High Energy Physics - Phenomenology · Physics 2020-09-30 J. M. Alarcón , D. W. Higinbotham , C. Weiss

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

We present a dispersion theoretical analysis of the experimental data on the electromagnetic form factors of the nucleon covering both the space- and time-like regions. The nucleon form factors over the full range of momentum transfers 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

The current status of the determination of corrections to the hyperfine splitting of the ground state in hydrogen is considered. Improved calculations are provided taking into account the most recent value for the proton charge radius.…

Atomic Physics · Physics 2009-11-10 A. V. Volotka , V. M. Shabaev , G. Plunien , G. Soff

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 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 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

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

In 2010 the proton charge radius was extracted for the first time from muonic hydrogen, a bound state of a muon and a proton. The value obtained was five standard deviations away from the regular hydrogen extraction. Taken at face value,…

High Energy Physics - Phenomenology · Physics 2019-09-27 Gil Paz

Proton charge radius is calculated from the electromagnetic form factor of proton parameterized by the dispersion relation. The calculated charge radius is a little larger than that obtained by the Lamb shift of the $\mu$ mesic atom. As the…

High Energy Physics - Phenomenology · Physics 2011-07-11 Hirohisa Ishikawa , Keiji Watanabe

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

To date the magnetic radius of the proton has been determined only by means of electron-proton scattering, which is not free of controversies. Any existing atomic determinations are irrelevant because they are strongly model-dependent. We…

High Energy Physics - Phenomenology · Physics 2014-11-04 Savely G. Karshenboim

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
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