Pion and Nucleon Structure Functions nearx=1

Abstract

In a colored-quark and vector-gluon model of hadrons we show that a quark carrying nearly all the momentum of a nucleon ($x\approx 1$) must have the same helicity as the nucleon; consequently $\frac{\nu {W_2}^n}{\nu {W_2}^p}\to \frac{3}{7}$ as $x\to 1$, not $\frac{2}{3}$ as might naively have been expected. Furthermore as $x\to 1$, $\nu {W_2}^{\pi }\sim {\mathrm{}(1-x)\mathrm{}}^2$ and ${\left(\frac{{\sigma }_L}{{\sigma }_T}\right)}^{\pi }\sim {\mu }^2{Q}^{-2\mathrm{}}{\mathrm{}(1-x)\mathrm{}}^{-2\mathrm{}}+O\left(g^2\right)$; the resulting angular dependence for $e^{+}{e}^{-}\to h^{\pm }+X$ is consistent with present data and has a distinctive form which can be easily tested when better data are available.