Evaluation of phase-space volumes and inclusive spectra in the uncorrelated jet model

A new way to evaluate phase-space volumes and inclusive spectra in the uncorrelated jet model is studied in detail and compared to the well-known Monte Carlo and saddle point techniques. The method is based on Fourier transformation of the phase-space volumes. Apart from the very low-energy region, where only phase spaces with two, three, or four particles contribute, the new method is superior in accuracy and/or computing time to all other methods. As an application we study the approach of the normalized x and y single-particle distributions to their respective scaling limits