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Systematic differences in the the proton's charge radius, as determined by ordinary atoms and muonic atoms, have caused a resurgence of interest in elastic lepton scattering measurements. The proton's charge radius, defined as the slope of…

We present the first determination of the proton mechanical radius. The result was obtained by employing a novel theoretical approach that connects experimental data of deeply virtual Compton scattering with the spin = 2 interaction that is…

High Energy Physics - Phenomenology · Physics 2023-11-07 V. D. Burkert , L. Elouadrhiri , F. X. Girod

A detailed examination of issues associated with proton radius extractions from elastic electron-proton scattering experiments is presented. Sources of systematic uncertainty and model dependence in the extractions are discussed, with an…

Nuclear Experiment · Physics 2015-06-03 John Arrington

In the light of the new data on the various neutron and proton electromagnetic form factors taken in recent years, we update the dispersion-theoretical analysis of the nucleon electromagnetic form factors from the mid-nineties. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -W. Hammer , Ulf-G. Meißner

The mass radius is a fundamental property of the proton that so far has not been determined from experiment. Here we show that the mass radius of the proton can be rigorously defined through the formfactor of the trace of the…

High Energy Physics - Phenomenology · Physics 2021-09-22 Dmitri E. Kharzeev

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 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

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 present a determination of the pion charge radius from high precision data on the pion vector form factor from both timelike and spacelike regions, using a novel formalism based on analyticity and unitarity. At low energies, instead of…

High Energy Physics - Phenomenology · Physics 2017-10-04 B. Ananthanarayan , Irinel Caprini , Diganta Das

This note is motivated by preparations of a new $ep$ elastic scattering experiment in the low transfer momentum region to be carried out in the 720 MeV electron beam of the Mainz Microtron MAMI. This experiment will use an innovative method…

High Energy Physics - Phenomenology · Physics 2019-03-20 S. Belostotski , N. Sagidova , A. Vorobyev

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…

We present an analysis of the proton mass radius by studying the $t$-dependence of the differential cross sections of the vector meson photoproductions near the thresholds. At low energy, the photoproduction of a quarkonium off the proton…

High Energy Physics - Phenomenology · Physics 2021-05-19 Rong Wang , Wei Kou , Ya-Ping Xie , Xurong Chen

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

We have made the comparison of three parametrizations of the proton electromagnetic form factors in the space-like region using the largest data set on $e^{\pm} p$ elastic scattering ever used. All models have a correct analytical structure…

High Energy Physics - Phenomenology · Physics 2016-11-23 V. V. Ezhela , B. V. Polishchuk

We report the first precision measurement of the proton electric to magnetic form factor ratio from spin-dependent elastic scattering of longitudinally polarized electrons from a polarized hydrogen internal gas target. The measurement was…

Charge radii of hadrons are back in the focus since precision spectroscopic measurements in muonic hydrogen revealed a proton charge radius considerably smaller than generally accepted ever since R.~Hofstaedter's pioneering experiments.…

High Energy Physics - Experiment · Physics 2023-11-02 Stephan Paul

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…

A statistical analysis of the elastic unpolarized electron proton scattering data shows that, at large momentum transfer, the size and the $\epsilon$ dependence of the radiative corrections, as traditionally calculated and applied, may…

High Energy Physics - Phenomenology · Physics 2008-11-26 Egle Tomasi-Gustafsson

It is suggested that proton elastic scattering on atomic electrons allows a precise measurement of the proton charge radius. Very small values of transferred momenta (up to four order of magnitude smaller than the ones presently available)…

Nuclear Theory · Physics 2015-06-03 G. I. Gakh , A. Dbeyssi , E. Tomasi-Gustafsson , D. Marchand , V. V. Bytev

This report presents a project of an experiment for precision studies of the elastic electron proton scattering in the low momentum transfer region. The project is based on an innovative experimental method which allows for detection of…

Nuclear Experiment · Physics 2019-10-23 A. Vorobyev