Equation of state dependence of directed flow in a microscopic transport model

Abstract

We study the sensitivities of the directed flow in Au+Au collisions on the equation of state (EoS), employing the transport theoretical model JAM. The EoS is modified by introducing a new collision term in order to control the pressure of a system by appropriately selecting an azimuthal angle in two-body collisions according to a given EoS. It is shown that this approach is an efficient method to modify the EoS in a transport model. The beam energy dependence of the directed flow of protons is examined with two different EoS, a first-order phase transition and crossover. It is found that our approach yields quite similar results as hydrodynamical predictions on the beam energy dependence of the directed flow; Transport theory predicts a minimum in the excitation function of the slope of proton directed flow and does indeed yield negative directed flow, if the EoS with a first-order phase transition is employed. Our result strongly suggests that the highest sensitivity for the critical point can be seen in the beam energy range of $4.7\leq\srtNN\leq11.5$ GeV.

7 pages, 5 figures

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• From Kadanoff-Baym dynamics to off-shell parton transport
• An effective chiral Hadron-Quark Equation of State
• Examination of the directed flow puzzle in heavy-ion collisions
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• Lattice QCD Constraints on the Nuclear Equation of State
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• Examination of STAR fixed-target data on directed flow at $\sqrt{s_{NN}}=$ 3 and 4.5 GeV
• Directed flow in heavy-ion collisions and its implications for astrophysics
• Optimal collision-energy range for realizing macroscopic high-baryon-density matter
• Density Functional Equation of State and Its Application to the Phenomenology of Heavy-Ion Collisions
• High density matter physics at J-PARC-HI
• Examining the influence of hadronic interactions on the directed flow of identified particles in RHIC Beam Energy Scan energies using UrQMD model
• Predictions of baryon directed flow in heavy-ion collisions at high baryon density
• Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow