Pion Interferometry From A Relativistic Fluid With A First Order Phase   Transition In CERN-SPS 158 GeV/A Pb+Pb Collisions
  We investigate pion source sizes through the Yano-Koonin-Podgoretski\u{\i} (YKP) parametrization for the Hanbury-Brown Twiss (HBT) effect in the CERN-SPS 158 GeV/A central collisions. We calculate two-particle correlation functions numerically based on a (3+1)-dimensional relativistic hydrodynamics with a first order phase transition and analyze the pair momentum dependence of the HBT radii extracted from the YKP parametrization in detail. We find that even in the case of a first order phase transition, expansion and the surface dominant freeze-out make the source in the hydrodynamical model opaque significantly. Consequently, the interpretation of the temporal radius parameter as the time duration becomes unavailable for the hydrodynamical model. 
K.Morita, S.Muroya, H.Nakamura and C.Nonaka