Average Multiplicity, Secondary Trajectory, and Mueller Analysis

The correction to the average multiplicity is calculated in a general Muller analysis when a secondary Regge trajectory with intercept $\frac{1}{2}$ is also included. $〈n〉$ is then approximately given by $A\ln s+B+{\mathrm{Cs}}^{-\frac{1}{2}}$, which fits well all existing accelerator multiplicity data from $s=25\mathrm{}$ to 2800 ${\mathrm{GeV}}^2$. We show that part of the coefficient $C$ may be estimated from the 90° production data. We comment on the sensitivity (or insensitivity) of $〈n〉$ as a test of production models.