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The directed flow maximum near c_s=0

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arxiv nucl-th/9912014 v3 pith:XA3WK6SC submitted 1999-12-07 nucl-th hep-phnucl-ex

The directed flow maximum near c_s=0

classification nucl-th hep-phnucl-ex
keywords agevflowbnl-agsdirectedmodelenergiesenergynucleons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the excitation function of quark-gluon plasma formation and of directed in-plane flow of nucleons in the energy range of the BNL-AGS and for the E(Lab)=40AGeV Pb+Pb collisions performed recently at the CERN-SPS. We employ the three-fluid model with dynamical unification of kinetically equilibrated fluid elements. Within our model with first-order phase transition at high density, droplets of QGP coexisting with hadronic matter are produced already at BNL-AGS energies, E(Lab)=10AGeV. A substantial decrease of the isentropic velocity of sound, however, requires higher energies, E(Lab)=40AGeV. We show the effect on the flow of nucleons in the reaction plane. According to our model calculations, kinematic requirements and EoS effects work hand-in-hand at E(Lab)=40AGeV to allow the observation of the dropping velocity of sound via an increase of the directed flow around midrapidity as compared to top BNL-AGS energy.

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