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

We will numerically investigate 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-Podgoretskiuo 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.