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We present an attempt of maximum entropy principle to determine valence quark distributions in the proton at very low resolution scale $Q_0^2$. The initial three valence quark distributions are obtained with limited dynamical information…

High Energy Physics - Phenomenology · Physics 2015-03-31 Rong Wang , Xurong Chen

The mean square radius of the proton charge distribution was studied in the framework of the relativistic quasipotential quark model in assumption of the SU(6)-symmetry. It was shown that the proton charge radius is represented as function…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. P. Ilichova , S. G. Shulga

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

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 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 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

Recently there has been disagreement between various experiments about the value of the proton radius which is known as the proton radius puzzle. Since the proton is not a point particle the charge radius of the proton depends on the charge…

General Physics · Physics 2019-08-06 Gouranga C Nayak

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

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

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

We propose using the potential radius as a probe of the structure of hadrons, particularly to classify exotic hadrons as hadronic or quark composite states.In this study, we focus on the radius of the effective potential felt by each…

Nuclear Theory · Physics 2026-05-28 Eisuke Kawamura , Kotaro Murakami , Daisuke Jido

Valence quark distributions of pion at very low resolution scale $Q^{2}_0 \sim 0.1~GeV^2$ are deduced from a maximum entropy method, under the assumption that pion consists of only a valence quark and a valence anti-quark at such a low…

High Energy Physics - Phenomenology · Physics 2019-11-25 Chengdong Han , Hanyang Xing , Xiaopeng Wang , Qiang Fu , Rong Wang , Xurong Chen

Background: The "proton radius puzzle" refers to an eight-year old problem that highlights major inconsistencies in the extraction of the charge radius of the proton from muonic Lamb-shift experiments as compared against experiments using…

Nuclear Theory · Physics 2019-05-22 Shuang Zhou , P. Giuliani , J. Piekarewicz , Anirban Bhattacharya , Debdeep Pati

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

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

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

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

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 "proton radius puzzle" was recently solved by reducing the four-standard deviation discrepancy between the results for electronic hydrogen ($H$) and muonic hydrogen ($\mu H$) atoms to $3.3$ value. The value of the root-mean-square…

Atomic Physics · Physics 2021-03-30 D. Solovyev , T. Zalialiutdinov , A. Anikin

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
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