Lévy Analysis of HBT Correlation Functions in s N N = 62 GeV and 39 GeV Au + Au Collisions at PHENIX

Dániel Kincses

doi:10.3390/universe4010011

Abstract

The phase diagram of strongly interacting matter can be explored by analyzing data of heavy-ion collisions at different center of mass collision energies. For investigating the space-time structure of the hadron emission source, Bose-Einstein or HBT correlation measurements are among the best tools. In this paper we present the latest results from the PHENIX experiment of the Relativistic Heavy Ion Collider (RHIC) on such measurements in s N N = 39 GeV and 62 GeV Au + Au collisions.

Highlights

Experimental data from heavy-ion collisions [1] are in agreement with the theoretical prediction [2]that the quark-hadron transition is cross-over at high energies.At lower energies the transition is expected to be a first-order phase transition
In the past years the PHENIX experiment at the Relativistic Heavy Ion Collider of the Brookhaven National Laboratory collected a vast amount of data at various collision energies
In case of a second order phase transition the η exponent describes the power-law behavior of the spatial correlations at the critical point with an exponent of −(d − 2 + η ) where d is the dimension [11]

Summary

Introduction

Experimental data from heavy-ion collisions [1] are in agreement with the theoretical prediction [2]that the quark-hadron transition is cross-over at high energies (near zero baryochemical potential).At lower energies the transition is expected to be a first-order phase transition. In the past years the PHENIX experiment at the Relativistic Heavy Ion Collider of the Brookhaven National Laboratory collected a vast amount of data at various collision energies. Neglecting the final-state interactions and assuming that the source is a spherically symmetric three-dimensional Lévy distribution, using the framework of the core-halo model, the two-particle correlation function takes the following simple form (Q is a one-dimensional relative momentum variable, see details in [9] and in Section 2): C2 ( Q) = 1 + λ · e−(QR) .

Results

Conclusion