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FIAS Scientific Report 2011 - Frankfurt Institute for Advanced Studies ...

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Initial state anisotropies and their uncertainties in ultrarelativistic heavy-ion collisions from the<br />

Monte Carlo Glauber model<br />

Collaborators: M. Alvioli 1 , H. Holopainen 2,3,4 , K.J. Eskola 3,4 , M. Strikman 5<br />

1 ECT*, European Centre <strong>for</strong> Theoretical <strong>Studies</strong> in Nuclear Physics and Related Areas, 2 <strong>Frankfurt</strong> <strong>Institute</strong> <strong>for</strong> <strong>Advanced</strong><br />

<strong>Studies</strong>, 3 University of Jyväskylä, 4 Helsinki <strong>Institute</strong> of Physics, 5 The Pennsylvania State University<br />

Significant azimuthal momentum distribution anisotropies measured in ultrarelativistic heavy-ion collisions can<br />

be explained with relativistic hydrodynamics: the initially produced QCD-matter contains spatial anisotropies<br />

and during the hydrodynamical evolution these anisotropies are transferred to the momentum distributions of<br />

final state particles. In this work we consider two sources of uncertainties related to the Monte Carlo Glauber<br />

(MCG) model which is often used to initialize the hydrodynamical simulations. All results are <strong>for</strong> Au+Au<br />

collisions at √ sNN = 200 GeV.<br />

In the MCG modeling one needs to know the positions of the initial state nucleon configurations. In most cases<br />

the nucleon positions inside the colliding nuclei are sampled using the Woods-Saxon potential, neglecting<br />

nucleon-nucleon correlations. Here we studied the effects of realistically correlated configurations on initial<br />

anisotropies. In addition, we used two different nucleon-nucleon interaction models. In the black disk approach<br />

two nucleons collide always when their transverse separation b is small enough, while in the profile function<br />

(Γ(b)) approach we have a transverse separation dependent probability <strong>for</strong> the collision to happen.<br />

First we considered the different interaction models, neglecting all nucleon-nucleon correlations <strong>for</strong> simplicity.<br />

We saw that <strong>for</strong> every εn with n = 1,2,3 the black disk interaction model leads to larger anisotropies. In<br />

central collisions the difference between different interaction models is small and it grows towards peripheral<br />

collisions. At largest the difference is order of 10%.<br />

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Left: Eccentricity as a function of number of participants (Npart) with two different nucleon-nucleon interaction models.<br />

Right: The relative fluctuations of eccentricity as a function of Npart with different nucleon-nucleon correlations.<br />

Next we studied the effects of the nucleon-nucleon correlations. We studied four different cases here: no<br />

correlations, central correlations and two sets with different approximations of full correlations. We found<br />

that including only central correlations makes the anisotropies smaller (by at most 10-20%), while the full<br />

correlations return the results quite close back to the no correlations case. The effects of the correlations are<br />

largest in the most central collisions and the difference gets smaller in the more peripheral collisions. As far as<br />

the relative fluctuations of the anisotropies are concerned, we found that the full correlations reduce the effects<br />

produced by the central ones to a very small deviation from the uncorrelated case.<br />

Related publication in <strong>2011</strong>:<br />

1) M. Alvioli, H. Holopainen, K.J. Eskola, M. Strikman, Initial state anisotropies and their uncertainties in<br />

ultrarelativistic heavy-ion collisions from the Monte Carlo Glauber model, arXiv:1112.5306 [hep-ph].<br />

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