Abstract
We examine Pb+Pb collisions at CERN SPS energy $158A$ GeV by employing the earlier developed and recently refined parton-cascade/cluster-hadronization model and its Monte Carlo implementation. This space-time model involves the dynamical interplay of perturbative QCD parton production and evolution, with nonperturbative parton-cluster formation and hadron production through cluster decays. Using computer simulations, we are able to follow the entwined time evolution of parton and hadron degrees of freedom in both position and momentum space, from the instant of nuclear overlap to the final yield of particles. We present and discuss results for the multiplicity distributions, which agree well with the measured data from the CERN SPS, including those for $K$ mesons. The transverse momentum distributions of the produced hadrons are also found to be in good agreement with the preliminary data measured by the NA49 and WA98 Collaborations for the collision of lead nuclei at the CERN SPS. The analysis of the time evolution of transverse energy deposited in the collision zone and the energy density suggests the existence of partonic matter for a time of more than 5 fm.
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