Properties of the Veneziano Five-Point Function in the Regge Region

Differential cross sections for the quasi-two-body meson process $\ensuremath{\sigma}\ensuremath{\sigma}\ensuremath{\rightarrow}(\ensuremath{\sigma}\ensuremath{\sigma})\ensuremath{\sigma}$ (where $\ensuremath{\sigma}$ is a scalar, isoscalar pion) are calculated using the Bardakci-Ruegg formula for $\ensuremath{\sigma}\ensuremath{\sigma}\ensuremath{\rightarrow}\ensuremath{\sigma}\ensuremath{\sigma}\ensuremath{\sigma}$. The slope of $\frac{d\ensuremath{\sigma}}{\mathrm{dt}}$ in the 2 \ensuremath{\rightarrow} 2 reaction is found to change with the ($\ensuremath{\sigma}\ensuremath{\sigma}$) mass in a manner similar to experiment. The shape of predicted resonances in the ($\ensuremath{\sigma}\ensuremath{\sigma}$) mass is, however, distinctly different from the Breit-Wigner form.