Some Analytical Results of Bunching Parameters for Multiplicity Fluctuations in High Energy Collisions

Abstract

A few analytical results are presented for the bunching parameters analysis applied to study the fluctuations of hadron multiplicity density in high energy collisions. The behaviors of bunching parameters are analyzed in the cases of concatenate and partitioning fluctuations. The effect of pairing in partition is also studied. As the phase-space decreases, the concatenation can be observed as the divergence of one of the bunching parameters, which also implies a strong short range correlation. In the case of a weak short range correlation, both types of binomial partitions lead to saturation for all the bunching parameters. As the phase-space increases, the effects of pair production can be observed as the oscillatory bunching parameters ηq — a function of order q. The characteristics of the observed features are discussed. Comparisons to experimental data are also presented.