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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

Conceptually, radii are amongst the simplest Poincar\'e-invariant properties that can be associated with hadrons and light nuclei. Accurate values of these quantities are necessary so that one may judge the character of putative solutions…

High Energy Physics - Phenomenology · Physics 2022-12-07 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

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

The work is devoted to a consideration of the different determinations of the proton charge radius. It is demonstrated that the results from the elastic electron-proton scattering have to be of a higher uncertainty. A review of the hydrogen…

High Energy Physics - Phenomenology · Physics 2009-10-30 Savely G. Karshenboim

A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known…

Quantum Physics · Physics 2025-04-17 P. Vaandrager , M. L. Lekala , S. A. Rakityansky

A global analysis of proton electric form factor experimental data from Rosenbluth separation and low squared four-momentum transfer experiments is discussed for the evaluation of the spatial moments of the proton charge density based on…

Nuclear Experiment · Physics 2025-01-07 M. Atoui , M. B. Barbaro , M. Hoballah , C. Keyrouz , M. Lassaut , D. Marchand , G. Quéméner , E. Voutier

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 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

The expression for the radial moments $\left\langle r^{n}\right\rangle_{c}$ of the nuclear charge density has been discussed under the plane wave Born approximation (PWBA) method recently, which is significant to investigate the nuclear…

Nuclear Theory · Physics 2021-11-16 Jian Liu , Xiaoting Liu , Xuezhi Wang , Shuo Wang , Chang Xu , Zhongzhou Ren

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

We find a new method to deduce nuclear radii from proton-nucleus elastic scattering data. In this method a nucleus is viewed as a ``black'' sphere. A diffraction pattern of protons by this sphere is equivalent to that of the Fraunhofer…

Nuclear Theory · Physics 2009-11-10 Akihisa Kohama , Kei Iida , Kazuhiro Oyamatsu

Recent measurements of recoil polarization in elastic scattering have been used to extract the ratio of the electric to the magnetic proton form factors. These results disagree with Rosenbluth extractions from cross section measurements,…

High Energy Physics - Phenomenology · Physics 2009-09-24 J. Arrington

We extract the neutron charge form factor from the charge form factor of deuteron obtained from $T_{20}(Q^2)$ data at $0\le Q^2\le$ 1.717 (GeV$^2$). The extraction is based on the relativistic impulse approximation in the instant form of…

High Energy Physics - Phenomenology · Physics 2011-08-17 A. F. Krutov , V. E. Troitsky

The advent of high-intensity, high-polarization electron beams led to significantly improved measurements of the ratio of the proton's charge to electric form factors, GEp/GMp. However, high-$Q^2$ measurements yielded significant…

The paper describes a precise measurement of electron scattering off the proton at momentum transfers of $0.003 \lesssim Q^2 \lesssim 1$\ GeV$^2$. The average point-to-point error of the cross sections in this experiment is $\sim$ 0.37%.…

Scientists often try to incorporate prior knowledge into their regression algorithms, such as a particular analytic behavior or a known value at a kinematic endpoint. Unfortunately, there is often no unique way to make use of this prior…

Data Analysis, Statistics and Probability · Physics 2020-07-15 Scott K. Barcus , Douglas W. Higinbotham , Randall E. McClellan

We present a combined analysis of the electromagnetic form factors of the nucleon in the space- and timelike regions using dispersion theory. Our framework provides a consistent description of the experimental data over the full range of…

High Energy Physics - Phenomenology · Physics 2022-02-16 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

We investigate the feasibility of measuring the proton charge radius through dimuon photoproduction off a proton target. Our findings indicate that the Bethe-Heitler mechanism, which dominates at small momentum transfers, allows for an…

High Energy Physics - Phenomenology · Physics 2024-09-19 Yong-Hui Lin , Feng-Kun Guo , Ulf-G. Meißner

We construct a general QCD light front formalism to compute many-body color charge correlators in the proton. These form factors can be extracted from deeply inelastic scattering measurements of exclusive final states in analogy to…

High Energy Physics - Phenomenology · Physics 2018-11-12 Adrian Dumitru , Gerald A. Miller , Raju Venugopalan

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…

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