Model Independent Analysis of the Proton Magnetic Radius

TL;DR

This paper presents a model-independent analysis of the proton magnetic radius using scattering data, providing precise measurements and combining multiple data sources for improved accuracy.

Contribution

It introduces a model-independent method to extract the proton magnetic radius from scattering data, incorporating various data sets for enhanced precision.

Findings

Proton magnetic radius from electron-proton scattering: 0.91 fm

Including electron-neutron and $\u0011$ data refines the radius to approximately 0.87 fm

Neutron magnetic radius estimated at 0.89 fm

Abstract

The proton is a fundamental constituent of matter. It is an extended object with finite size that can be inferred with some degree of accuracy from several measurements. Using constraints from the analytic behavior of the form factors we present here a model-independent study that extracts the proton magnetic radius from scattering data. From electron-proton scattering data we find $r_M^p = 0.91_{-0.06}^{+0.03} \pm 0.02$ fm. When we include electron-neutron scattering data and $\pi\pi$ data, we find $r_M^p = 0.87_{-0.05}^{+0.04}\pm 0.01$ fm and $r_M^p =0.87_{-0.02}^{+0.02}$ fm respectively. The neutron magnetic radius is extracted as $r_M^n = 0.89_{-0.03}^{+0.03}$ fm combining all three data sets.