Pion Form Factor and $\pi \pi$ Diffraction Cross Section from Consistency Relations Among $\mathrm{pp}$, $p\overline{p}$, $\pi p$, and $\pi \pi$ Diffraction Cross Sections

Consistency relations among $\mathrm{pp}$, $p\overline{p}$, $\pi p$, and $\pi \pi$ diffraction scattering cross sections and the pion and nucleon form factors are derived on the basis of the multiple-quark-scattering picture of elastic scattering of hadrons. The pion form factor is found to be similar to the nucleon form factor and the charge radius of the pion is ${\mathcal{r}}_{\pi }\cong 0.65$ F in agreement with experimental evidence. The differential cross section for $\pi \pi$ diffraction scattering is found to be $\frac{4}{9}$ times that of $\pi p$.