Asymptotic Behavior of Electroproduction Structure Function

Abstract

The electroproduction function $F_2(-\frac{\nu }{q^2})$, defined as the limit of the structure function $\nu W_2(q^2,\nu )$ for $\nu \to \infty$, $\frac{\nu }{q^2}$ fixed, is experimentally observed to approach a constant for $-\frac{\nu }{q^2}\to \infty$. We derive this result from an integral representation of the scattering amplitude and the assumption of Regge behavior for the limit $\nu \to \infty$, $q^2$ fixed.