Directed flow of D mesons at RHIC and LHC: non-perturbative dynamics, longitudinal bulk matter asymmetry and electromagnetic fields

Abstract

We present a study of the directed flow $v_1$ for $D$ mesons discussing both the impact of initial vorticity and electromagnetic field. Recent studies predicted that $v_1$ for $D$ mesons is expected to be surprisingly much larger than that of light charged hadrons; we clarify that this is due to a different mechanism leading to the formation of a directed flow with respect to the one of the bulk matter at both relativistic and non-relativistic energies. We point out that the very large $v_1$ for $D$ mesons can be generated only if there is a longitudinal asymmetry between the bulk matter and the charm quarks and if the latter have a large non-perturbative interaction in the QGP medium. A quite good agreement with the data of STAR and ALICE is obtained if the diffusion coefficient able to correctly predict the $R_{AA}(p_T)$, $v_2(p_T)$ and $v_3(p_T)$ of $D$ meson is employed. Furthermore, the mechanism for the build-up of the $v_1(y)$ is associated to a quite small formation time that can be expected to be more sensitive to the initial high-temperature dependence of the charm diffusion coefficient. We discuss also the splitting of $v_1$ for $D^0$ and ${\bar{D}}^0$ due to the electromagnetic field that is again much larger than the one observed for charged particles and in agreement with the data by STAR that have however still error bars comparable with the splitting itself, while at LHC standard electromagnetic profile assuming a constant conductivity is not able to account for the huge splitting observed.

arXiv comment16 pages, 24 figures

References in corpus (80)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• The QCD equation of state with dynamical quarks
• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Parton coalescence and antiproton/pion anomaly at RHIC
• Theoretical predictions for charm and bottom production at the LHC
• Fluid dynamics of R-charged black holes
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Angular momentum conservation in heavy ion collisions at very high energy
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• Chiral Magnetic Wave
• Quark Coalescence for Charmed Mesons in Ultrarelativistic Heavy-Ion Collisions
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution
• Rotating quark-gluon plasma in relativistic heavy ion collisions
• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• Polarization probes of vorticity in heavy ion collisions
• Electrical conductivity of the quark-gluon plasma across the deconfinement transition
• Vorticity in Heavy-Ion Collisions
• ${\mathbf{D}}_{\mathbf{s}}$-Meson as Quantitative Probe of Diffusion and Hadronization in Nuclear Collisions
• Directed Flow of Charm Quarks as a Witness of the Initial Strong Magnetic Field in Ultra-Relativistic Heavy Ion Collisions
• Heavy Flavor at the Large Hadron Collider in a Strong Coupling Approach
• Global quark polarization in non-central $A+A$ collisions
• Polarization and Vorticity in the Quark Gluon Plasma
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Heavy-flavour spectra in high energy nucleus-nucleus collisions
• Third flow component as QGP signal
• Tomography of the Quark-Gluon-Plasma by Charm Quarks
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• Charmed Hadrons from Coalescence plus Fragmentation in relativistic nucleus-nucleus collisions at RHIC and LHC
• Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation
• Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
• Recent thermodynamic results from lattice QCD analyzed within a quasi-particle model
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Charm production in Pb+Pb collisions at the Large Hadron Collider energy
• Directed flow in ultrarelativistic heavy-ion collisions
• Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
• A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Open Heavy-Flavor Production in Heavy-Ion Collisions
• Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions
• Tomography of a quark gluon plasma at RHIC and LHC energies
• What can we learn from global spin alignment of $\varphi$ meson in heavy-ion collisions?
• Novel rapidity dependence of directed flow in high energy heavy ion collisions
• Magnetic Field Induced Polarization Difference between Hyperons and Anti-hyperons
• Heavy flavours in AA collisions: production, transport and final spectra
• Systematics of Stopping and Flow in Au+Au Collisions
• Thermal Correlators in the ρ channel of two-flavor QCD
• Elliptic and triangular flow of heavy flavor in heavy-ion collisions
• Electric Conductivity from the solution of the Relativistic Boltzmann Equation
• Chiral vortaic effect and neutron asymmetries at NICA
• Constituent quark scaling violation due to baryon number transport
• Large directed flow of open charm mesons probes the three dimensional distribution of matter in heavy ion collisions
• Thermalization, Isotropization and Elliptic Flow from Nonequilibrium Initial Conditions with a Saturation Scale
• Elliptic Flow from Non-equilibrium Initial Condition with a Saturation Scale
• Cracking the difference of estimating heavy quark transport coefficients in a Quark-Gluon Plasma
• Charge-dependent directed flow in asymmetric nuclear collisions
• Interplay of drag by hot matter and electromagnetic force on the directed flow of heavy quarks
• Initial state fluctuations from mid-peripheral to ultra-central collisions in a event-by-event transport approach
• Vorticity and hyperon polarization at NICA energies
• Quark-to-gluon composition of the quark-gluon plasma in relativistic heavy-ion collisions
• Charge-dependent flow as evidence of strong electromagnetic fields in heavy-ion collisions
• Investigating different $\Lambda$ and $\bar{\Lambda }$ polarizations in relativistic heavy-ion collisions
• Study of collective anisotropies $v_2$ and $v_3$ and their fluctuations in $pA$ collisions at LHC within a relativistic transport approach
• Shear viscosity and chemical equilibration of the QGP
• Collective flow of open and hidden charm in Au+Au collisions at $\sqrt{s}$ = 200 GeV
• Electromagnetic fields and directed flow in large and small colliding systems at ultrarelativistic energies
• Probing the electromagnetic fields in ultrarelativistic collisions with leptons from $Z^0$ decay and charmed mesons
• Viscous corrections to anisotropic flow and transverse momentum spectra from transport theory
• The spatial distributions of chiral magnetic field in the RHIC and LHC energy regions
• Influence of electromagnetic fields in proton-nucleus collisions at relativistic energy
• Directed flow in asymmetric nucleus-nucleus collisions and the inverse Landau-Pomeranchuk-Migdal effect

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• A review of quarkonia under strong magnetic fields
• 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
• Charge-dependent directed flows in heavy-ion collisions by Boltzmann-Maxwell equations
• 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
• Far-from-equilibrium attractors with Full Relativistic Boltzmann approach in 3+1 D: moments of distribution function and anisotropic flows $v_n$
• Towards the understanding of heavy quarks hadronization: from leptonic to heavy-ion collisions
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Interactions between heavy quarks and tilted QGP fireballs in 200 AGeV Au+Au collisions
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• In-medium hadronization of heavy quarks and its effect on charmed meson and baryon distributions in heavy-ion collisions
• Directed flow of D and B mesons in an electrically and chirally conductive QGP at LHC energies
• Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma