Abstract
Glauber model is a model used to describe heavy ion collision process. In this paper, we describe an implementation of a Monte Carlo based Glauber Model calculation used for the PHOBOS experiment, which simulates the collision of two heavy nuclei. The nucleon distribution in two initial Pb nuclei is parameterized with Woods-Saxon. The energy profile is √(S<sub>NN</sub> )=5.5TeV and inelastic cross-section area, i.eσ<sub>NN</sub>= 72mb. Geometric quantities such as impact parameter(b), the participant elliptical and triangular eccentricities (ε<sub>2</sub>, ε<sub>3</sub>) are studied and presented graphically and quantitatively in this paper. The results for collisions of Pb-Pb are compared with other Glauber model calculations which agrees with the results from other studies to a great extent. In this simulation, a decline trend of ε<sub>2</sub> and ε<sub>3</sub> is observed with increasing Npart. The centralities of peripheral events (40 to 50 percent centrality) are ε<sub>2</sub> ranging from 0.5 to 0.4 and ε<sub>3</sub> being roughly 0.3. The ratio of ε<sub>3</sub> to ε<sub>2</sub> is roughly 0.5 at Npart=0 and 1 at Npart=416 (a hundred percent centrality), showing the significance of triangular flow of the area of intersection. The model can also be used to predict geometric quantities in the LHC experiments and other collision processes.
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