Probe the tilted Quark-Gluon Plasma with charmonium directed flow

Abstract Charmonium directed flows are studied based on transport model coupled with the realistic three dimensional expansions of the bulk medium. The non-central symmetric nucleus-nucleus collisions can generate the rotating quark-gluon plasma (QGP) with symmetry-breaking longitudinal distributions. In s N N = 200 GeV Au+Au semi-central collisions, charmonium are primordially produced in the initial hard process, they are mainly dissociated by the initial tilted source with high temperatures and then move out of the bulk medium to keep the early information of the medium. The momentum distribution of primordially produced charmonia is less affected by the hydrodynamic expansions of QGP where its tilted shape is being diluted. This biased dissociation can generate directed flows of J / ψ and ψ ( 2 S ) which are much larger than the values of light charged hadrons and open heavy flavor. Charmonium directed flows can help to quantify the rapidity-odd distributions of QGP initial energy densities in nucleus-nucleus collisions.