Properties of inclusive reactions in a unitarized dual model of production amplitudes

Inclusive cross-sections are studied in the planar dual model by first constructing a unitarized set of production amplitudes. Total cross-sections, and single- and many-particle spectra are then constructed, and conservation laws are imposed through a set of sum rules. A weak form of the Harari-Freund conjecture for total cross-sections is derived and is easily generalized to single- (and many-) particle spectra. A large number of predictions is obtained for single-particle spectra, many of which are capable of experimental verification. Inclusive experiments on deuterium targets are urged in order to provide a crucial test of the model. Using a stronger form of the Harari-Freund conjecture as an input, we obtain predictions for the way single-particle spectra approach scaling. Criteria for early scaling, and for rising and falling inclusive cross-sections, are discussed in detail. Diffraction dissociation is included in a very natural way. Effects of interference terms, cuts and absorption are briefly discussed, and it is argued that they cannot change the general results discussed in this paper. © 1973 Società Italiana di Fisica