A new Microscopic Model for $J/\psi$ Production in Heavy Ion Collisions

We present a new model for the creation of $J/\psi$ mesons in ultrarelativistic heavy ion collisions, which allows to follow the individual heavy quarks from their creation until the detector through the Quark Gluon Plasma (QGP), which is formed in these collisions and described by the EPOS2 event generator. The c and $\bar c$ quarks interact via a potential, based on results of lattice gauge calculations. The annihilation and creation of $J/\psi$ is described by a density matrix approach whose time evolution is studied in the expanding system. The comparison with PbPb data at $\sqrt{s}$=5.02 TeV shows that this model can describe simultaneously the nuclear modification factor $R_{AA}$ and the elliptic flow $v_2$ of the $J/\psi$