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We combine constraints from analyticity with experimental electron-proton scattering data to determine the proton magnetic radius without model-dependent assumptions on the shape of the form factor. We also study the impact of including…

High Energy Physics - Phenomenology · Physics 2014-10-29 Zachary Epstein , Gil Paz , Joydeep Roy

We extract the proton charge radius from the elastic form factor (FF) data using a novel theoretical framework combining chiral effective field theory and dispersion analysis. Complex analyticity in the momentum transfer correlates the…

High Energy Physics - Phenomenology · Physics 2019-04-09 J. M. Alarcón , D. W. Higinbotham , C. Weiss , Z. Ye

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 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

Using dispersion theory with an improved description of the two-pion continuum based on the precise Roy-Steiner analysis of pion-nucleon scattering, we analyze recent data from electron-proton scattering. This allows for a high-precision…

High Energy Physics - Phenomenology · Physics 2021-04-01 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

Using a procedure based on interpolation via continued fractions supplemented by statistical sampling, we analyse proton magnetic form factor data obtained via electron+proton scattering on $Q^2 \in [0.027,0.55]\,$GeV$^2$ with the goal of…

High Energy Physics - Phenomenology · Physics 2021-12-14 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

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

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 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 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 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

We have analyzed the proton form factor data by using a number of phenomenological parameterizations (models) and extracting the proton electric and magnetic radii. To this end we performed a global fit to all available form factor data,…

High Energy Physics - Phenomenology · Physics 2024-01-12 M. Ridwan , T. Mart

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

We examined several low-$Q^2$ elastic $ep$ and $ed$ scattering data sets using various models to extract the proton and deuteron rms radii and developed a comprehensive algorithm for estimating the systematic bias of each extracted radius.…

Nuclear Experiment · Physics 2019-01-04 Timothy B. Hayward , Keith A. Griffioen

The MUSE experiment at Paul Scherrer Institute will perform the first measurement of low-energy muon-proton elastic scattering (muon lab momenta 115-210 MeV) with the aim of determining the proton charge radius. We study the prospects for…

High Energy Physics - Phenomenology · Physics 2023-06-05 F. Gil-Domínguez , J. M. Alarcón , C. Weiss

Precisely measured electron-proton elastic scattering cross sections [Phys. Rev. Lett. {\bf 105}, 242002 (2010)] are reanalyzed to evaluate their strength for determining the rms charge radius ($R_{\rm E}$) of the proton. More than half of…

Nuclear Experiment · Physics 2016-03-23 M. Horbatsch , E. A. Hessels

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

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

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
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