1+1 Dimensional Hydrodynamics for High-energy Heavy-ion Collisions

Abstract

A 1+1 dimensional hydrodynamical model in the light-cone coordinates is used to describe central heavy-ion collisions at ultrarelativistic bombarding energies. Deviations from Bjorken's scaling are taken into account by choosing finite-size profiles for the initial energy density. The sensitivity of fluid dynamical evolution to the equation of state and the parameters of initial state is investigated. Experimental constraints on the total energy of produced particles are used to reduce the number of model parameters. Spectra of secondary particles are calculated assuming that the transition from the hydrodynamical stage to the collisionless expansion of matter occurs at a certain freeze-out temperature. An important role of resonances in the formation of observed hadronic spectra is demonstrated. The calculated rapidity distributions of pions, kaons and antiprotons in central Au+Au collisions at the c.m. energy 200 GeV per NN pair are compared with experimental data of the BRAHMS Collaboration. Parameters of the initial state are reconstructed for different choices of the equation of state. The best fit of these data is obtained for a soft equation of state and Gaussian-like initial profiles of the energy density, intermediate between the Landau and Bjorken limits.

43 pages, 27 figures

References in corpus (33)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Collective Flow signals the Quark Gluon Plasma
• Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
• The transition temperature in QCD
• Unified Description of Freeze-Out Parameters in Relativistic Heavy Ion Collisions
• Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum
• Dynamics of Hot Bulk QCD Matter: from the Quark-Gluon Plasma to Hadronic Freeze-Out
• Antiflow of Nucleons at the Softest Point of the EoS
• Relativistic Heavy-Ion Collisions within 3-Fluid Hydrodynamics: Hadronic Scenario
• Anisotropic flow from AGS to LHC energies
• Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions
• The Phase Transition to the Quark-Gluon Plasma and Its Effect on Hydrodynamic Flow
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
• Non-Equilibrium Phase Transition in Rapidly Expanding Matter
• Velocity of sound in relativistic heavy-ion collisions
• Hydrodynamics of nuclear collisions with initial conditions from perturbative QCD
• Hydrodynamical analysis of hadronic spectra in the 130 GeV/nucleon Au+Au collisions
• On the formation of Hubble flow in Little Bangs
• Viscosity and Thermalization
• Microscopic study of freeze-out in relativistic heavy ion collisions at SPS energies
• Collective Deceleration of Ultrarelativistic Nuclei and Creation of Quark-Gluon Plasma
• (3+1)-dimensional relativistic hydrodynamical expansion of hot and dense matter in ultra-relativistic nuclear collision
• Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
• 3-D hydro + cascade model at RHIC
• Ultrarelativistic nucleus-nucleus collisions and the quark-gluon plasma
• Baryon deceleration by strong chromofields in ultrarelativistic nuclear collisions
• Photon emission in Pb+Pb collisions at SpS and LHC

Cited by in corpus (10)

• Two-pion Bose-Einstein correlations in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Non-boost-invariant anisotropic dynamics
• Relating multihadron production in hadronic and nuclear collisions
• Non-boost-invariant motion of dissipative and highly anisotropic fluid
• Hydrodynamic modeling of deconfinement phase transition in heavy-ion collisions at NICA-FAIR energies
• Electromagnetic probes of a pure-glue initial state in nucleus-nucleus collisions at energies available at the CERN Large Hadron Collider
• Extraction of the sound velocity from rapidity spectra: Evidence for QGP formation at FAIR/RHIC-BES energies
• Hadron rapidity spectra within a hybrid model
• Evolution of antibaryon abundances in the early Universe and in heavy-ion collisions
• Hydrodynamic modeling of a pure-glue initial scenario in high-energy hadron and heavy-ion collisions