Minijet Initial Conditions For Non-Equilibrium Parton Evolution at RHIC and LHC

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  • 28 October 2002
Abstract
Partons formed just after a heavy-ion collision at RHIC and LHC are in non-equilibrium. One practical way to study the non-equilibrium time evolution of these partons is to solve the relativistic transport equation with an appropriate scattering kernel. An important ingredient for this approach is to have some physically reasonable initial conditions for the single particle phase space distribution functions for the partons. Here we consider several plausible paramterizations of f_i(x,p) and fix the parameters by matching \int f(x,p)p^\mu d \sigma_\mu to the invariant momentum space semi-hard parton distributions obtained using perturbative QCD (pQCD) as well as fitting low order moments of the distribution function. We consider parameterizations of f_i(x,p) with both boost invariant and boost non-invariant assumptions. We determine the initial number density, energy density and the corresponding (effective) temperature of the minijet plasma at RHIC and LHC energies. For a boost non-invariant minijet phase-space distribution function we obtain ~ 30(140) /fm^3 as the initial number density, ~ 50(520) GeV/fm^3 as the initial energy density and ~ 520(930) MeV as the corresponding initial effective temperature at RHIC(LHC).

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