${{\mathit p}}$ MAGNETIC RADIUS INSPIRE search

This is the rms magnetic radius, $\sqrt {\langle r{}^{2}_{M}\rangle }$.

S016MCR
VALUE (fm) DOCUMENT ID TECN  COMMENT
$0.851$ $\pm0.026$ 1
LEE
2015
Combination of world and Mainz data
• • • We do not use the following data for averages, fits, limits, etc. • • •
$0.831$ $\pm0.01$ $\pm0.01$ 2
QATTAN
2026A
 FIT Reanalysis of old data
$0.817$ $\pm0.027$ 3
CUI
2021B
 FIT use existing ${{\mathit e}}{{\mathit p}}$ data
$0.87$ $\pm0.02$
EPSTEIN
2014
Using ${{\mathit e}}{{\mathit p}}$, ${{\mathit e}}{{\mathit n}}$, ${{\mathit \pi}}{{\mathit \pi}}$ data
$0.867$ $\pm0.009$ $\pm0.018$
ZHAN
2011
SPEC Recoil polarimetry
$0.777$ $\pm0.013$ $\pm0.010$
BERNAUER
2010
SPEC ${{\mathit e}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}}{{\mathit p}}$ form factor
$0.876$ $\pm0.010$ $\pm0.016$
BORISYUK
2010
Reanalyzes old ${{\mathit e}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}}{{\mathit p}}$ data
$0.854$ $\pm0.005$
BELUSHKIN
2007
Dispersion analysis
1  In a consistent reanalysis LEE 2015 extract values separately for the Mainz 2010 data only (0.776+-0.034+-0.017) fm and for the world data without Mainz data (0.914+-0.035) fm. The quoted value is a simple combination of the two, which ignores possible discrepancies and unknown correlations and should be considered with caution.
2  QATTAN 2026A refits old data utilizing several rational functional forms, with and without combining magnetic and charge radius.
3  CUI 2021B employ a new mathematical procedure (statistical SPM, Schlessinger point method) based on form-unbiased interpolations of existing ${{\mathit e}}{{\mathit p}}$ scattering data.
  References:
QATTAN 2026A
PR C113 045211 New extraction of the proton's conventional charge and magnetic radii utilizing electron-proton elastic scattering experimental data
CUI 2021B
CPL 38 121401 Pauli Radius of the Proton
LEE 2015
PR D92 013013 Extraction of the Proton Radius from Electron-Proton Scattering Data
EPSTEIN 2014
PR D90 074027 Model Independent Extraction of the Proton Magnetic Radius from Electron Scattering
ZHAN 2011
PL B705 59 High-Precision Measurement of the Proton Elastic Form Factor Ratio $\mathit \mu _{p}G_{E}/G_{M}$ at low $\mathit Q{}^{2}$
BERNAUER 2010
PRL 105 242001 High-Precision Determination of the Electric and Magnetic Form Factors of the Proton
Also
PR C90 015206 Electric and Magnetic Form Factors of the Proton
BORISYUK 2010
NP A843 59 Proton Charge and Magnetic rms Radii from the Elastic ${{\mathit e}}{{\mathit p}}$ Scattering data
BELUSHKIN 2007
PR C75 035202 Dispersion Analysis of the Nucleon Form Factors Including Meson Continua