Seminar in Hadronic Physics

J/ψ production and elliptic flow in relativistic heavy-ion collisions

Taesoo Song

Texas A&M University

Using a two-component model for charmonium production, which includes contributions from both the initial hard nucleon-nucleon scattering and from the regeneration in the quark-gluon plasma, we study the nuclear modification factor R_AA and elliptic flow v₂ of J/ψ in relativistic heavy ion collisions. For the expansion dynamics of produced hot dense matter, we introduce a schematic fireball model with its transverse acceleration determined from the pressure gradient inside the fireball and azimuthally anisotropic expansion parameterized to reproduce measured v₂ of light hadrons. We assume that light hadrons freeze out at the temperature of 120 MeV while charmonia at 160 MeV, similar to the kinetic and chemical freeze-out temperatures in the statistical model, respectively. For the properties of charmonia in the quark-gluon plasma, we use the screening mass between their charm and anticharm quarks and their dissociation cross sections given by the perturbative QCD (pQCD) in the leading order and up to the next-to-leading order, respectively. For the relaxation time of charm and anticharm quarks in the quark-gluon plasma, we also use the one calculated in the leading order of pQCD. Modeling the effect of higher-order corrections in pQCD by introducing multiplicative factors to the dissociation cross section of charmonia and the elastic scattering cross sections of charm and anticharm quarks, we find that this effect is small for the R_AA of J/ψ as they suppress the number of initially produced J/ψ but enhance the number of regenerated ones. The higher-order corrections increase, however, the v₂ of J/ψ. Our results suggest that the v₂ of J/ψ can play an important role in discriminating between J/ψ production from the initial hard collisions and from the regeneration in the quark-gluon plasma.