Novel Scaling Behavior for the Multiplicity Distribution under Second-Order Quark-Hadron Phase Transition

Abstract

Deviation of the multiplicity distribution Pq in small bin from its Poisson counterpart pq is studied within the Ginzburg-Landau description for second-order quark-hadron phase transition. Dynamical factor dq Pq/pq for the distribution and ratio Dq dq/d1 are defined, and novel scaling behaviors between Dq are found which can be used to detect the formation of quark-gluon plasma. The study of dq and Dq is also very interesting for other multiparticle production processes without phase transition.

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