Model independent extraction of the proton magnetic radius from electron scattering

الأصل · EN

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 electron-neutron scattering data, and ππ→ NN data. Using representative datasets we find for a cut of Q²≤0.5 GeV², rₘᵖ=0.91⁺⁰.⁰³₋₀.₀₆±0.02 fm using just proton scattering data; rₘᵖ=0.87⁺⁰.⁰⁴₋₀.₀₅±0.01 fm adding neutron data; and rₘᵖ=0.87⁺⁰.⁰²₋₀.₀₂ fm adding ππ data. We also extract the neutron magnetic radius from these data sets obtaining rₘⁿ=0.89⁺⁰.⁰³₋₀.₀₃ fm from the combined proton, neutron, and ππ data.