Space-time regions of high baryon density and baryon stopping in heavy-ion collisions

Abstract

Four-volumes ($V_4=$ spatial-3-volume$\times$lifetime) are calculated within the model of three-fluid dynamics (3FD) and compared with those of the the JET AA Microscopic Transport Model (JAM). The calculations are performed for central Au+Au collisions at energies $\sqrt{s_{NN}}=$ 3 -- 19.6 GeV. These $V_4$ indicate optimal collision-energy ranges for realizing macroscopic high baryon-density matter. It is found that the 3FD four-volumes noticeably exceed those in the JAM, which indicates a stronger baryon stopping in the 3FD model as compared to that JAM. It is argued that this difference in the baryon stopping correlates with stiffness of the EoS implemented in these models. Contrary to JAM, the four-volume, where a baryon density ($n_B$) exceeds three times the normal nuclear density ($n_0$), does not exhibit a maximum as a function of $\sqrt{s_{NN}}$. It decreases monotonically with increasing $\sqrt{s_{NN}}$, remaining at a fairly macroscopic level (i.e. $V_4\ge 5.5^4$ fm${}^4$/c). For higher baryon densities, $V_4$ exhibits maxima in its dependence on $\sqrt{s_{NN}}$. The optimal energy range for densities $n_B/n_0>$ 4 is located at $\sqrt{s_{NN}}=$ 3.2 -- 8 GeV. Even for $n_B/n_0>$ 6, the four-volume remains quite macroscopic ($V_4\ge 4^4$ fm${}^4$/c) at $\sqrt{s_{NN}}=$ 4.5 -- 9 GeV contrary to the JAM.

8 pages, 4 figures, version published in Phys.Rev.C

References in corpus (25)

• Transverse momentum analysis of collective motion in relativistic nuclear collisions
• Fully integrated transport approach to heavy ion reactions with an intermediate hydrodynamic stage
• Neutron Stars and the Nuclear Equation of State
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Finite-density lattice QCD and sign problem: current status and open problems
• Dynamical phase trajectories for relativistic nuclear collisions
• Examination of the directed flow puzzle in heavy-ion collisions
• Longitudinal dynamics and particle production in relativistic nuclear collisions
• Lattice QCD Constraints on the Nuclear Equation of State
• Directed Flow Indicates a Crossover Deconfinement Transition in Relativistic Nuclear Collisions
• Momentum-dependent potential and collective flows within the relativistic quantum molecular dynamics approach based on relativistic mean-field theory
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Event simulation based on three-fluid hydrodynamics for collisions at energies available at the Dubna Nuclotron-based Ion Collider Facility and at the Facility for Antiproton and Ion Research in Darmstadt
• Mean-field update in the JAM microscopic model: Mean-field effects on collective flow in high-energy heavy-ion collisions at $\sqrt{s_{NN}}=2-20$ GeV energies
• Dynamical Freeze-out in 3-Fluid Hydrodynamics
• The high-density equation of state in heavy-ion collisions: Constraints from proton flow
• Probing initial baryon stopping and equation of state with rapidity-dependent directed flow of identified particles
• On freeze-out problem in relativistic hydrodynamics
• Update of the Three-fluid Hydrodynamics-based Event Simulator: light-nuclei production in heavy-ion collisions
• A Poincaré covariant cascade method for high-energy nuclear collisions
• Equilibration and baryon densities attainable in relativistic heavy-ion collisions
• Distribution of Nuclear Matter and Radiation in the Fragmentation Region
• Examination of STAR fixed-target data on directed flow at $\sqrt{s_{NN}}=$ 3 and 4.5 GeV
• Optimal collision-energy range for realizing macroscopic high-baryon-density matter
• Predictions of baryon directed flow in heavy-ion collisions at high baryon density