S. Delorme (1), P-B. Gossiaux (1), T. Gousset (1), R. Katz (1)
(1) SUBATECH UMR 6457 (IMT Atlantique, Université de Nantes,IN2P3/CNRS), 4 Rue Alfred Kastler, F-44307 Nantes, France
The Standard Model of particle physics describes the elementary constituants of matter and the interactions between them. Among those constituants, quarks form protons and neutrons that compose atomic nuclei. Due to the strong interaction, quarks stay confined inside composite particles called hadrons (like protons and neutrons), that’s the ordinary state of matter. But under extreme temperature and density conditions, hadronic matter reaches the most extreme state of matter, called Quark-Gluon Plasma (QGP), where quarks are deconfined and can freely evolve.
Quarkonia are boundstates of heavy quark-antiquark pairs and are very interesting probes of the QGP. Indeed, as the medium temperature rises, quarkonia states melt due to the significant screening of the quark interaction, a phenomenon called quarkonia suppression. They can then be seen as a thermometer of the medium. Experimental measurements at collidersrevealed that the variations of the suppression with the various kinematics was more complicated than what theoretical models predicted, pointing out the need for a better theoretical description of quarkonia inside the QGP. In recent years, a lot of work has been done towards a dynamical description of quarkonia inside the QGP, using the open quantum systems formalism. In this framework, one can get a real-time description of a quantum system (here the quarkonium) in interaction with a thermal bath (the QGP) by studying the system reduced density matrix.We investigate the real-time dynamics of a correlated heavy quark-antiquark pair inside the QGP using a quantum master equation previously derived from first QCD principles in [1].
The novel feature of our approach is to numerically solve the full equation, avoiding to perform so-called semi-classical approximations as was done in [1] to solve them. The resolution is performed in 1D to lessen the computational cost, nonetheless it is sufficient to gain insight on the dynamics.
[1]-BLAIZOT J.P., ESCOBEDO M.A. (2018), Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma. J. High Energ. Phys.2018, 34