Some Predictions of the Amati-Bertocchi-Fubini-Stanghellini-Tonin Multiperipheral Model

The predictions of the Amati-Bertocchi-Fubini-Stanghellini-Tonin multiperipheral model based on pion pole dominance are calculated quantitatively and compared with experimental data, by using the Veneziano representation for the $\ensuremath{\pi}\ensuremath{-}\ensuremath{\pi}$ amplitude, with a cutoff at the mass of the $g$ resonance for the input kernel, and neglecting off-shell effects. We find ${\ensuremath{\alpha}}_{P}(0)=0.30$, ${\ensuremath{\alpha}}_{\ensuremath{\rho}}(0)=0.16$, an average multiplicity growing as 0.74 $\mathrm{ln}s$, an elasticity factor of 0.69, an average pion-pair transverse momentum equal to 0.43 $\frac{\mathrm{GeV}}{c}$, and an average invariant mass squared equal to 0.84 Ge${\mathrm{V}}^{2}$. The only serious discrepancies with experiment are the trajectory heights, which correspond to a kernel strength $2\frac{1}{2}\ensuremath{-}5$ times too weak. The inclusion of the high-subenergy contribution and the inclusion of off-shell effects by several methods of off-shell continuation are considered, but none is found to be satisfactory. The importance of interference terms, due to different ways of arranging the final-state particles along the multiperipheral chain, is discussed.