The influence of statistical fluctuations on the erraticity behavior of multiparticle system

It is demonstrated that in a low-multiplicity sample, the increase of the fluctuation of event factorial moments with decreasing phase-space scale, called “erraticity”, is dominated by the statistical fluctuations. The erraticity behavior observed in the NA27 experiment can be readily reproduced by purely statistical fluctuations. Applying the erraticity analysis to a high-multiplicity sample is, however, recommended and the method is improved for the very-high-multiplicity case.