The addition of a radial TPC to the CERES experiment at the CERN-SPS
improved significantly the sensitivity of the spectrometer to hadronic
observables near midrapidity and allowed for a systematic study of the
centrality dependence of two-pion Bose-Einstein correlations in Pb+Au
collisions at 40, 80, and 158 AGeV. This range of beam energies at SPS
provides an important link between the nucleon dominated domain at
lower beam energies and the pion dominated domain at the colliders.
A multi-dimensional analysis of the correlation function as function
of the pair transverse momentum $k_t$ provides access to quantities
characterizing the space-time evolution, such as the lifetime of the
system, the transverse expansion velocity and the duration of pion
emission. A detailed comparison of the $k_t$ dependencies of the HBT
parameters from all available beam energies reveals a smooth transition
from nucleon to pion dominated freeze-out between AGS and RHIC energies
and explains the apparently weak overall beam energy dependence. The
transition region is characterized by a minimum of the effective
freeze-out volume. This non-monotonic behaviour rules out that
freeze-out happens at constant density. We will show that the minimum
appears naturally if different cross sections of pions with the
surrounding medium due to a change of the fireball composition with
beam energy are considered. This finally leads to a universal pion
freeze-out condition in terms of their mean free path from AGS to RHIC.
Organiser(s): Yiota Foka, Guy Paic and Urs Wiedemann