Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Long overdue update with final published version + erratum (13 pages, 17 EPS figs)

Scientific paper

10.1016/S0375-9474(01)01224-6

Differential elliptic flow and particle spectra are calculated taking into account the finite transport opacity of the gluon plasma produced in Au+Au at Ecm ~ 130 A GeV at RHIC. Covariant numerical solutions of the ultrarelativistic Boltzmann equation are obtained using the MPC parton cascade technique. For typical pQCD (~3 mb) elastic cross sections, extreme initial gluon densities, dN/deta ~ 15000, are required to reproduce the elliptic flow saturation pattern reported by STAR. However, we show that the solutions depend mainly on the transport opacity, $\chi=\int dz \sigma_t\rho_g$, and thus the data can also be reproduced with dN/deta ~ 1000, but with extreme elastic parton cross sections, \~45 mb. We demonstrate that the spectra and elliptic flow are dominated by numerical artifacts unless parton subdivisions ~100-1000 are applied to retain Lorentz covariance for RHIC initial conditions.

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