Asymptotic Behavior of Electroproduction Structure Function

Abstract

The electroproduction function ${F}_{2}(\ensuremath{-}\frac{\ensuremath{\nu}}{{q}^{2}})$, defined as the limit of the structure function $\ensuremath{\nu}{W}_{2}({q}^{2},\ensuremath{\nu})$ for $\ensuremath{\nu}\ensuremath{\rightarrow}\ensuremath{\infty}$, $\frac{\ensuremath{\nu}}{{q}^{2}}$ fixed, is experimentally observed to approach a constant for $\ensuremath{-}\frac{\ensuremath{\nu}}{{q}^{2}}\ensuremath{\rightarrow}\ensuremath{\infty}$. We derive this result from an integral representation of the scattering amplitude and the assumption of Regge behavior for the limit $\ensuremath{\nu}\ensuremath{\rightarrow}\ensuremath{\infty}$, ${q}^{2}$ fixed.