Eccentricity distributions in nucleus-nucleus collisions

Abstract

We propose a new parametrization of the distribution of the initial eccentricity in a nucleus-nucleus collision at a fixed centrality, which we name the Elliptic Power distribution. It is a two-parameter distribution, where one of the parameters corresponds to the intrinsic eccentricity, while the other parameter controls the magnitude of eccentricity fluctuations. Unlike the previously used Bessel- Gaussian distribution, which becomes worse for more peripheral collisions, the new Elliptic Power distribution fits several Monte Carlo models of the initial state for all centralities.

Revised; Appendix C added. The published version

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• Collective Expansion at the LHC: selected ALICE anisotropic flow measurements
• Collective flow and hydrodynamics in large and small systems at the LHC
• New results on collectivity with CMS