Application of Dispersion Relations to Nucleon Structure

Abstract

The dispersion relations derived by Chew et al. are used to carry out a covariant calculation of the form factors for the charge and magnetic moment of the proton. Root-mean-square radii of 0.64×${10}^{-13\mathrm{}}$ cm for the charge distribution and 0.45×${10}^{-13\mathrm{}}$ cm for the magnetic moment distribution are found on the assumption that the proton has a point core and that the coupling constant is $f^2=0.08\mathrm{}$. Recoil terms tend to reduce the rms radii obtained from the static model. The higher-order mesonic corrections do not alter the qualitative behavior of the perturbation results.