Directed flow of charged particles within idealized viscous hydrodynamics at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider

Abstract

Following the Boz$\dot{\text{e}}$k-Wyskiel parametrization tilted initial condition, an alternative way to construct a longitudinal tilted fireball based on the Glauber collision geometry is presented. This longitudinal tilted initial condition combined with the Ideal-CLVisc (3 + 1)D hydrodynamic model, a nonvanishing directed flow coefficient $v_1$ in a wide rapidity range is observed. After comparing the model's results with experimentally observed data of directed flow coefficient $v_1(\eta )$ from $\sqrt{s_{NN}}$ = 200 GeV Cu + Cu, Au + Au collisions at RHIC energy to $\sqrt{s_{NN}}$ = 2.76 TeV and $\sqrt{s_{NN}}$ = 5.02 TeV Pb + Pb collisions at the LHC energy. We find that the directed flow measurements in heavy-ion collisions can set strong constraints on the imbalance of forward and backward incoming nuclei and on the magnitude asymmetry of pressure gradients along the $x$ direction.

11 pages, 9 figures and 3 tables; any comments and feedback are welcome. To appear as a Regular Article in Physical Review C

References in corpus (9)

• Glauber Modeling in High Energy Nuclear Collisions
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
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• Directed flow in ultrarelativistic heavy-ion collisions
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• Directed and elliptic flow in heavy ion collisions from $E_{\mathrm{beam}}=90$ MeV/nucleon to $E_{c.m.}=200$ GeV/nucleon
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Cited by in corpus (9)

• Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks
• Longitudinal distribution of initial energy density and directed flow of charged particles in relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Directed flow and global polarization in Au+Au collisions across energies covered by the beam energy scan at RHIC
• Splitting of elliptic flow in a tilted fireball
• Non-extensive (3+1)-dimensional hydrodynamics for relativistic heavy-ion collisions
• Hydrodynamic simulations of directed flow for light hadrons in Au+Au and isobar collisions $\sqrt{s_{\text{NN}}}=$ 200 GeV
• External magnetic field induced paramagnetic squeezing effect in heavy-ion collisions at the LHC
• Interactions between heavy quarks and tilted QGP fireballs in 200 AGeV Au+Au collisions