On the Deconfinement Phase Transition in Heavy-Ion Collisions

The factorial moments (FM) of multiplicity distribution are used to study the deconfinement phase transition in heavy-ion collisions. The relation between FM and the partition number, $M$, results positive intermittency exponents, $\phi_q$. According to the signatures suggested from certain statistical models, the two-dimensional results of the dependence of $\phi_q/\phi_2$, anomalous fractal, $d_q/d_2$ and R\'enyi dimensions, ${\cal R}_q/{\cal R}$, and the normalized exponents, $\zeta_q$, on the orders of FM evidently supply evidence for the quark-hadron phase transition in Pb+Pb collisions at 158 AGeV.