Abstract

The production of the prompt charmed mesons $D^0$, $D^+$ and $D^{*+}$ relative to the reaction plane was measured in Pb-Pb collisions at a centre-of-mass energy per nucleon-nucleon collision of $\sqrt{s_{\rm NN}} = 2.76$ TeV with the ALICE detector at the LHC. D mesons were reconstructed via their hadronic decays at central rapidity in the transverse momentum ($p_{\rm T}$) interval of 2-16 GeV/$c$. The azimuthal anisotropy is quantified in terms of the second coefficient $v_2$ in a Fourier expansion of the D meson azimuthal distribution, and in terms of the nuclear modification factor $R_{\rm AA}$, measured in the direction of the reaction plane and orthogonal to it. The $v_2$ coefficient was measured with three different methods and in three centrality classes in the interval 0-50%. A positive $v_2$ is observed in mid-central collisions (30-50% centrality class), with an mean value of $0.204_{-0.036}^{+0.099}$ (tot.unc.) in the interval $2 < p_{\rm T} < 6$ GeV/$c$, which decreases towards more central collisions (10-30% and 0-10% classes). The positive $v_2$ is also reflected in the nuclear modification factor, which shows a stronger suppression in the direction orthogonal to the reaction plane for mid-central collisions. The measurements are compared to theoretical calculations of charm quark transport and energy loss in high-density strongly-interacting matter at high temperature. The models that include substantial elastic interactions with an expanding medium provide a good description of the observed anisotropy. However, they are challenged to simultaneously describe the strong suppression of high-$p_{\rm T}$ yield of D mesons in central collisions and their azimuthal anisotropy in non-central collisions.

Highlights

  • Collisions of heavy nuclei at ultrarelativistic energies are expected to lead to the formation of a high-density colordeconfined state of strongly interacting matter

  • This modification is quantified by the nuclear modification factor RAA(pT) = dNAA/dpT TAA dσpp/dpT, where dNAA/dpT is the differential yield in nucleus-nucleus collisions in a given centrality class, dσpp/dpT is the cross section in pp collisions, and

  • An online selection based on the VZERO signal amplitude was used to enhance the sample of central and midcentral collisions through two separate trigger classes

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Summary

INTRODUCTION

Collisions of heavy nuclei at ultrarelativistic energies are expected to lead to the formation of a high-density colordeconfined state of strongly interacting matter. Heavy quarks (charm and beauty), with large masses mc ≈ 1.3 and mb ≈ 4.5 GeV/c2, are produced in pairs predominantly at the initial stage of the collision [5] in hard scattering processes characterized by time scales shorter than the medium formation time They traverse the medium and interact with its constituents via both inelastic (medium-induced gluon radiation, i.e., radiative energy loss) [6,7] and elastic (collisional) [8] QCD processes. The dependence of the partonic energy loss on the in-medium path length is expected to be different for each mechanism (linear for collisional processes [8] and close to quadratic for radiative processes [7]) It is an open question whether low-momentum heavy quarks participate, through interactions with the medium, in the collective expansion of the system and whether they can reach thermal equilibrium with the medium constituents [23,24].

EXPERIMENTAL APPARATUS
Data sample and event selection
D-meson reconstruction
Azimuthal anisotropy analysis methods
R2 π 4
Azimuthal dependence of the nuclear modification factor
SYSTEMATIC UNCERTAINTIES
Uncertainties on v2
Uncertainties on RAA
RESULTS
COMPARISON WITH MODEL CALCULATIONS
SUMMARY

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