Multiperipheral multifireball model and the inclusive cross section

A multiperipheral multifireball model with a rising total cross section in a certain energy region is described, and the single-fireball contribution to the single-particle inclusive cross section in the pionization region is studied. The total cross section in this model rises like $\mathrm{ln}s$ near the single-fireball threshold, changes to a $\mathrm{ln}(\mathrm{ln}s)$ behavior until it reaches a maximum at an extremely high energy, and eventually falls to zero. The magnitude of the possible rise is proportional to the triple-Pomeron coupling. For the single-particle inclusive cross section in the pionization region, the contribution from the term proportional to a Pomeron-Reggeon-Reggeon coupling is shown to be as important as the term proportional to the triple-Pomeron coupling. The contribution from the Pomeron-Reggeon-Reggeon term is estimated by extrapolating the required couplings from the scattering data in the intermediate energy region, and it contributes to a rise of about 16 mb. The rise of the inclusive cross section due to the triple-Pomeron term is about 7 mb when the rise of the total cross section is assumed to be 4 mb at CERN Intersecting Storage Rings energy. The over-all rise of the inclusive cross section in this model is thus about 23 mb.