Quantum-number flow in multiparticle production

Conservation of quantum numbers at each vertex (or local conservation of quantum numbers) associates the rapidity dependence of inclusive spectra with the approach to the scaling limit in the central region within the framework of the multiperipheral model (MPM). A model incorporating various internal quantum numbers is developed by introducing quantum-number-flow states. We restore the properties (1) strong ordering of particles in rapidity and (2) threshold effect (production of a heavy pair requires a high threshold) of the MPM. Clustering in final states leads to a stronger energy dependence of the inclusive spectra as compared to a model where secondaries are produced directly. In pp collisions, the right order of magnitude of the rates of increase with energy among the π, K, and anti p inclusive spectra in the central region is reproduced in the incident-momentum region from 24 to 1000 GeV/c