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

Don M. Tow

  • Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

Phys. Rev. D 2, 154 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.154

Abstract

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 ππ amplitude, with a cutoff at the mass of the g resonance for the input kernel, and neglecting off-shell effects. We find αP(0)=0.30, αρ(0)=0.16, an average multiplicity growing as 0.74 lns, an elasticity factor of 0.69, an average pion-pair transverse momentum equal to 0.43 GeVc, and an average invariant mass squared equal to 0.84 GeV2. The only serious discrepancies with experiment are the trajectory heights, which correspond to a kernel strength 2125 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.

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