Abstract
The two key observables related to heavy quarks that have been measured in RHIC and LHC energies are the nuclear suppression factor RAA and the elliptic flow v2. The Simultaneous description of these two observables is a top challenge for all the existing models. We highlight how a consistent combination of four ingredients i.e., the temperature dependence of the energy loss, the full solution of the Boltzmann collision integral for the momentum evolution of heavy quark, the hadronization by coalescence, and the hadronic rescattering, are responsible to address a large part of such a puzzle. We consider four different models to evaluate the temperature dependence of drag coefficients of the heavy quark in the QGP. All these four different models are set to reproduce the same RAA as of the experiments. We show that for the same RAA, the v2 could be quite different depending on the interaction dynamics as well as other ingredients.
Highlights
Theoretical calculations predict that hadronic matter at high temperatures and densities dissolves into a deconfined state of quarks and gluons - called Quark Gluon Plasma (QGP).The experimental efforts at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) energies is aimed at to create and characterized the properties of QGP
The two key observables related to heavy quarks that have been measured in RHIC and LHC are the nuclear suppression factor RAA [1, 2, 3], which is the ratio between the the pT spectra of heavy flavored hadrons (D and B) produced in Au+Au collisions with respect to those produced in p+p collisions, and the elliptic flow v2 [2, 4], which is a measure of the anisotropy in the angular distribution
To address the simultaneous description of RAA and v2, we start with the time evolution of RAA and v2 to know how they develop during the expansion of the QGP
Summary
Theoretical calculations predict that hadronic matter at high temperatures and densities dissolves into a deconfined state of quarks and gluons - called Quark Gluon Plasma (QGP).The experimental efforts at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) energies is aimed at to create and characterized the properties of QGP. To study the time evolution of RAA and v2, we have solved the Fokker Planck (FP) equation stochastically in terms of the Langevin equation, for detail we refer to our earlier work [10].
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