Study of Inclusive Cross Sections and Multiplicity Distributions in Regge-Pole and Regge-Cut Models

The properties of the multiplicity distribution and total inclusive cross sections are studied in models defined by the Regge-pole form or Regge pole plus infinitely many Regge cuts form of the generating function. Consequences of isospin invariance and charge-conjugation invariance are explored. The general form of the multiplicity distribution is given in the above models: A maximum at zero multiplicity and secondary maxima at $n=k〈n〉$, $k=2, 3, \dots$, are expected as a consequence of the existence of Regge cuts. The possibility of the extension of the results to (differential) inclusive cross sections is discussed.