Applicability of Monte Carlo Glauber models to relativistic heavy ion collision data

Abstract

The accuracy of Monte Carlo Glauber model descriptions of minimum-bias multiplicity frequency distributions is evaluated using data from the Relativistic Heavy Ion Collider (RHIC) within the context of a sensitive, power-law representation introduced previously by Trainor and Prindle (TP). Uncertainties in the Glauber model input and in the mid-rapidity multiplicity frequency distribution data are reviewed and estimated using the TP centrality methodology. The resulting errors in model-dependent geometrical quantities used to characterize heavy ion collisions ({\em i.e.} impact parameter, number of nucleon participants $N_{part}$, number of binary interactions $N_{bin}$, and average number of binary collisions per incident participant nucleon $\nu$) are presented for minimum-bias Au-Au collisions at $\sqrt{s_{NN}}$ = 20, 62, 130 and 200 GeV and Cu-Cu collisions at $\sqrt{s_{NN}}$ = 62 and 200 GeV. Considerable improvement in the accuracy of collision geometry quantities is obtained compared to previous Monte Carlo Glauber model studies, confirming the TP conclusions. The present analysis provides a comprehensive list of the sources of uncertainty and the resulting errors in the above geometrical collision quantities as functions of centrality. The capability of energy deposition data from trigger detectors to enable further improvements in the accuracy of collision geometry quantities is also discussed.

27 pages, 4 figures, 11 tables

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• Anomalous centrality evolution of two-particle angular correlations from Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 62 and 200 GeV
• Flow and interferometry results from Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 4.5 GeV
• Light Nuclei Collectivity from $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV Au+Au Collisions at RHIC
• Probing Strangeness Canonical Ensemble with $K^{-}$, $\varphi (1020)$ and ${\Xi }^{-}$ Production in Au+Au Collisions at $\sqrt{s_{\mathrm{NN}}}=3\mathrm{GeV}$
• Core - Corona Model describes the Centrality Dependence of v_2/epsilon
• Applicability of Monte Carlo Glauber models to relativistic heavy ion collision data
• Onset of the ridge structure in AA, pA and pp collisions
• System size dependence of transverse momentum correlations at $\sqrt{s_{NN}}=$ 62.4 and 200 GeV at the BNL Relativistic Heavy Ion Collider
• Light Nuclei Femtoscopy and Baryon Interactions in 3 GeV Au+Au Collisions at RHIC
• Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium
• Azimuthal quadrupole correlation from gluon interference in 200 GeV and 7 TeV p+p collisions
• Universal geometrical scaling of the elliptic flow
• Minimizing statistical and systematic bias in transverse momentum correlations for relativistic heavy-ion collisions
• Statistical-noise reduction in correlation analysis of high-energy nuclear collisions with event-mixing