Numerical analysis of two-pion correlation based on a hydrodynamical model

Abstract

We will numerically investgate two-particle correlation function of CERN--SPS 158 A GeV Pb+Pb central collisions in detail based on a (3+1)-dimensional relativistic hydrodynamical model with first order phase transition. We use the Yano-Koonin-Podgoretski\uı parametrization as well as the usual Cartesian parametrization and analyze the pair momentum dependence of HBT radii extracted from the parametrizations. We find that the interpretation of the temporal radius parameters as the time duration in YKP parametrization is not available for the hydrodynamical model where the source became opaque naturally because of expansion and surface dominant freeze-out. Finally, effect of the phase transition on the source opacity is also discussed.

36 pages, ReVTeX, including 20 eps figures

References in corpus (4)

• Hadronic Expansion Dynamics in Central Pb+Pb Collisions at 158 GeV per Nucleon
• Hadronic Observables: Theoretical Highlights
• HBT with Space- vs. Time-like Hydrodynamic Freezeout
• HBT Effect Based on a Hydrodynamical Model

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