Isoscalar Nucleon Form Factor fromO(4,2)Dynamics

The most general theory of isoscalar form factors with $O(4,2)\mathrm{}$ as dynamical group and a purely algebraic current operator has been constructed for a fermion representation space. Adjusting one free parameter appropriately, we obtain for the $J^P={\frac{1}{2}}^{+}$ ground state ${G_M}^S\mathrm{}\left(t\right)=\frac{{\mu }^S}{{(1-\frac{t}{0.71})}^2}; {G_E}^S\mathrm{}\left(t\right)=\frac{\frac{1}{2}}{{(1-\frac{t}{0.71})}^2}\left[1+\frac{\frac{t}{0.71}}{(1-\frac{t}{0.71})}\right].$ ${\mu }^S$ is determined to be ${\mu }^S=-\frac{1}{6}$. The agreement with experiment is excellent for $\frac{{G_M}^S}{{\mu }^S}$, moderate for ${G_E}^S$, and bad for ${\mu }^S$.