Novel scaling behavior for the multiplicity distribution under second-order quark-hadron phase transition

Abstract

Deviation of the multiplicity distribution ${P}_{q}$ in a small bin from its Poisson counterpart ${p}_{q}$ is studied within the Ginzburg-Landau description for a second-order quark-hadron phase transition. The dynamical factor ${d}_{q}\ensuremath{\equiv}{P}_{q}{/p}_{q}$ for the distribution and the ratio ${D}_{q}\ensuremath{\equiv}{d}_{q}{/d}_{1}$ are defined, and novel scaling behaviors between ${D}_{q}$ are found which can be used to detect the formation of quark-gluon plasma. The study of ${d}_{q}$ and ${D}_{q}$ is also very interesting for other multiparticle production processes without a phase transition.