The Influence of Statistical Fluctuations on Erraticity Behavior of Multiparticle System

TL;DR

This paper investigates how statistical fluctuations influence erraticity in multiparticle systems, showing that observed erraticity at low multiplicity is mainly due to statistical effects and proposing improved analysis methods for high multiplicity data.

Contribution

It demonstrates that statistical fluctuations dominate erraticity behavior in low multiplicity samples and introduces improved analysis techniques for high multiplicity cases.

Findings

Erraticity at low multiplicity is driven by statistical fluctuations.

Pure statistical fluctuations can reproduce NA27 experimental results.

Enhanced methods are proposed for analyzing high multiplicity samples.

Abstract

It is demonstrated that in low multiplicity sample, the increase of the fluctuation of event-factorial-moments with the diminishing of phase space scale, called ``erraticity'', are dominated by the statistical fluctuations. The erraticity behavior observed at NA27 experiment can be readily reproduced by pure statistical fluctuations. Applying erraticity analysis to a high multiplicity sample is recommended and the method is improved at very high multiplicity case as well.