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Fluctuation of Gaps in Hadronization at Phase Transition

Rudolph C. Hwa·Qing-hui Zhang
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Abstract

Event-by-event fluctuations of hadronic patterns in heavy-ion collisions are studied in search for signatures of quark-hadron phase transition. Attention is focused on a narrow strip in the azimuthal angle with small $Δy$. The fluctuations in the gaps between particles are quantified by simple measures. A scaling exponent $α$ is shown to exist around $T_c$. An index $ξ$ is shown to characterize the critical fluctuation; it is a numerical constant $ξ=0.05\pm0.01$. All the measures considered in this gap analysis are experimentally observable. Whether or not the theoretical predictions, based on simulations using 2-dimensional Ising model, are realistic for heavy-ion collisions, analysis of the experimental data suggested here should be carried out, since the existence of a scaling behavior is of interest in its own right.

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Rudolph C. Hwa, Qing-hui Zhang. 2002-03-11. Fluctuation of Gaps in Hadronization at Phase Transition. https://doi.org/10.1103/physrevc.66.014904

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