Numerical Evaluation of Phase-Space Integrals and Their Approach to Asymptotic Behavior

Abstract
We examine the range of validity of various approximate expressions for invariant phase space and "transverse-cutoff" phase space by checking against Monte Carlo calculations. We find that there are discrepancies for the transverse-cutoff case in the transition energy region between the isotropic and one-dimensional regimes. Since the location of this transition region is multiplicity-dependent, there are observable consequences for energy dependence of multiplicity distributions.