Multiperipheral and polyperipheral approaches to pionization

Introduction of Regge trajectories in addition to the pomeron, which appears in Mueller's approach to pionization, is shown to predict a small dip. The analysis is motivated by a multiperipheral approach. The question whether this approach may lead to an understanding of the peak in the pionic distribution or the asymmetry effect is discussed. A new (polyperipheral) approach based on the exchange of several chains is introduced in order to account for the observed effects. It leads naturally to Mandelstam cuts and is compared with a partonic picture. (16 refs).