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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

The charged pion form factor, Fpi(Q^2), is an important quantity which can be used to advance our knowledge of hadronic structure. However, the extraction of Fpi from data requires a model of the 1H(e,e'pi+)n reaction, and thus is…

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

We analyze a low-energy theorem of threshold pion electroproduction which allows one to determine the charge radius of the pion. We show that at the same order where the radius appears, pion loops induce a correction to the momentum…

Nuclear Theory · Physics 2009-11-06 Véronique Bernard , Norbert Kaiser , Ulf-G. Meißner

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

We propose a new improved model-independent method for calculating the pion charge radius. In a recently-proposed model-independent method for the pion charge radius, we find it difficult to compute the pion charge radius for small pole…

High Energy Physics - Lattice · Physics 2022-12-02 Kohei Sato , Hiromasa Watanabe , Takeshi Yamazaki

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

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

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

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 improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

Measurements of elastic scattering of 21.5 MeV pi+ and pi- by Si, Ca, Ni and Zr were made using a single arm magnetic spectrometer. Absolute calibration was made by parallel measurements of Coulomb scattering of muons. Parameters of a…

A novel extrapolation method has been used to deduce the charged Pion-Nucleon coupling constant from backward $np$ differential scattering cross sections. We applied it to new measurements performed at 162 MeV at the The Svedberg Laboratory…

Nuclear Theory · Physics 2007-05-23 B. Loiseau , T. E. O. Ericson , J. Rahm , J. Blomgren , N. Olsson

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

Traditionally, there has been a method to extract the charge radius of a hadron based on the fits of its form factor with some model assumptions. In contrast, a completely different method has been proposed, which does not depend on the…

High Energy Physics - Lattice · Physics 2023-10-26 Kohei Sato , Hiromasa Watanabe , Takeshi Yamazaki

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

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

Study of the elastic scattering can produce a rich information on the dynamics of the strong interaction. The EPECUR collaboration is aimed at the research of baryon resonances in the second resonance region via pion-proton elastic…

We complete and improve the fits to experimental $\pi\pi$ scattering amplitudes, both at low and high energies, that we performed in the previous papers of this series. We then verify that the corresponding amplitudes satisfy analyticity…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kaminski , J. R. Pelaez , F. J. Yndurain