Connection of Elastic Electromagnetic Nucleon Form Factors at LargeQ2and Deep Inelastic Structure Functions Near Threshold

It is suggested that if the structure function $\ensuremath{\nu}{W}_{2}$ for deep inelastic electron-proton scattering behaves near threshold as $\ensuremath{\nu}{W}_{2}\ensuremath{\sim}(\frac{1}{\ensuremath{\omega}}){(1\ensuremath{-}\frac{1}{\ensuremath{\omega}})}^{p} \mathrm{for} \ensuremath{\omega}\ensuremath{\equiv}\frac{2M\ensuremath{\nu}}{{Q}^{2}}\ensuremath{\rightarrow}1,$ then the elastic electromagnetic form factor of the proton ${F}_{1}$ behaves for large momentum transfers as ${F}_{1}({Q}^{2})\ensuremath{\sim}{(\frac{1}{{Q}^{2}})}^{\frac{(p+1)}{2}} \mathrm{for} {Q}^{2}\ensuremath{\rightarrow}\ensuremath{\infty}$