Wave Functions and Form Factors for Relativistic Composite Particles. II

Abstract

We extend our relativistic description of composite particles to the case of clusters of spin-½ particles. From this, explicit expressions for the nucleon vector current form factors are derived. We find that the nucleon's electric form factor has the form $G^E\mathrm{}\left(t\right)={\alpha }^{-1\mathrm{}}{S}_0\left(\frac{-t}{\alpha }\right)\Sigma \stackrel{3}{i=1\mathrm{}}{q}^{i}G_{\mathrm{ib}}^{}{}_{}{}^1\mathrm{}\left(t\right)\mathrm{}$ where $S_0$ is the nonrelativistic form factor, $\alpha =\frac{1-t}{4M^2}$, and $q^i$ is the charge and $G_{\mathrm{ib}}^{}{}_{}{}^1\mathrm{}\left(t\right)\mathrm{}$ the electric form factor for the $i$th quark. A similar expression is obtained for the magnetic form factor.