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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

The cross section of elastic electron-proton scattering taking place in an electron gas is calculated within the Closed Time Path method. It is found to be the sum of two terms, one being the expression in the vacuum except that it involves…

High Energy Physics - Theory · Physics 2013-05-30 Janos Polonyi , Karima Zazoua

The proton radius has been measured in electron-proton scattering experiments and laser based spectroscopy of muonic hydrogen. The latter method is based on the precise calculations for the atomic energy levels in the approximation of…

High Energy Physics - Experiment · Physics 2021-12-02 Vitaly Baturin , Igor Strakovsky

Elastic scattering of relativistic electrons from the nucleon yields Lorentz invariant form factors that describe the fundamental distribution of charge and magnetism. The spatial dependence of the nucleon's charge and magnetism is…

Nuclear Experiment · Physics 2016-06-28 T. W. Donnelly , D. K. Hasell , R. G. Milner

In this work the process of elastic hadron scattering is discussed. In particular, scattering amplitudes for the various Pomeron models are compared. In addition, differential elastic cross section as a function of the scattered proton…

High Energy Physics - Phenomenology · Physics 2017-08-10 P. Erland , R. Staszewski , M. Trzebinski , R. Kycia

The charge radius of the proton can be determined using two different kinds of experiments: the spectroscopy technique, measuring the hyperfine structure of hydrogen atoms, and the scattering technique, deducing the radius from elastic…

Nuclear Theory · Physics 2023-10-03 M. Atoui , M. B. Barbaro , M. Hoballah , C. Keyrouz , R. Kunne , M. Lassaut , D. Marchand , G. Quemener , E. Voutier

The elastic scattering of twisted electrons by neutral atoms is studied within the fully relativistic framework. The electron-atom interaction is taken into account in all orders, thus allowing us to explore high-order effects beyond the…

Atomic Physics · Physics 2018-09-12 V. P. Kosheleva , V. A. Zaytsev , A. Surzhykov , V. M. Shabaev , Th. Stöhlker

We calculate differential cross sections for proton-nucleus elastic scattering by using a Glauber theory in the optical limit approximation and nucleon distributions that can be obtained in the framework of macroscopic nuclear models in a…

Nuclear Theory · Physics 2015-06-26 Kei Iida , Kazuhiro Oyamatsu , Badawy Abu-Ibrahim

In this work, we study the elastic scattering behavior of electron vortices when propagating through amorphous samples. We use a formulation of the multislice approach in cylindrical coordinates to theoretically investigate the…

Materials Science · Physics 2021-03-22 Stefan Löffler , Stefan Sack , Thomas Schachinger

We estimate the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer through the scattering off a parton in the proton. We relate the process on the nucleon to the generalized parton…

High Energy Physics - Phenomenology · Physics 2009-09-11 Y. C. Chen , A. Afanasev , S. J. Brodsky , C. E. Carlson , M. Vanderhaeghen

A new method for the determination of the real part of the elastic scattering amplitude is examined for high energy proton-proton elastic scattering at small momentum transfer. This method allows us to decrease the number of model…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Gauron , B. Nicolescu , O. V. Selyugin

It is shown in the case of proton scattering on an electron gas target that the Closed Time Path formalism can handle final state interactions of the target in equilibrium in a simple and natural manner. The leading order cross section is…

High Energy Physics - Phenomenology · Physics 2013-06-18 F. Mansouri , J. Polonyi , K. Zazoua , N. Zekri

We review the experimental and theoretical status of elastic electron scattering and elastic low-energy photon scattering (with both real and virtual photons) from the nucleon. As a consequence of new experimental facilities and new…

Nuclear Experiment · Physics 2008-11-26 Charles Earl Hyde-Wright , Kees de Jager

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 Mott scattering of high-energetic twisted electrons by atoms is investigated within the framework of the first Born approximation and Dirac's relativistic equation. Special emphasis is placed on the angular distribution and longitudinal…

Atomic Physics · Physics 2015-05-12 V. Serbo , I. P. Ivanov , S. Fritzsche , D. Seipt , A. Surzhykov

The effect of "anomalous" scattering of neutrons and electrons from protons in the electron-volt energy-transfer range is considered, and related experimental results are mentioned. A recent independent confirmation of this effect with a…

Quantum Physics · Physics 2007-05-23 C. Aris Chatzidimitriou-Dreismann

The rms-radius $R$ of the proton charge distribution is a fundamental quantity needed for precision physics. This radius, traditionally determined from elastic electron-proton scattering via the slope of the Sachs form factor $G_e(q^2)$…

Nuclear Experiment · Physics 2018-01-08 Ingo Sick

The structure function approach and the parton picture, developed for the theoretical description of the deep inelastic electron-proton scattering, also proved to be very effective for calculation of radiative corrections in Quantum…

High Energy Physics - Phenomenology · Physics 2020-09-28 V. S. Fadin , R. E. Gerasimov

Electron scattering on unstable nuclei is planned in future facilities of the GSI and RIKEN upgrades. Motivated by this fact, we study theoretical predictions for elastic electron scattering in the N=82, N=50, and N=14 isotonic chains from…

Nuclear Theory · Physics 2013-01-10 X. Roca-Maza , M. Centelles , F. Salvat , X. Viñas