Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes

TL;DR

This paper uses Monte Carlo simulations to evaluate the odd moments of initial eccentricity relative to even order participant planes in Au+Au collisions, finding negligible correlations.

Contribution

It introduces Glauber-based evaluations of odd eccentricity moments relative to even participant planes, highlighting minimal correlations and proposing an experimental verification method.

Findings

Magnitudes of odd eccentricity moments are essentially zero.

Correlations between odd and even participant plane orientations are insignificant.

Proposes an experimental test for participant plane correlations.

Abstract

Monte Carlo simulations are used to compute the centrality dependence of the odd moments of the initial eccentricity $\epsilon_{n+1}$, relative to the even order (n) participant planes $\Psi^*_n$ in Au+Au collisions. The results obtained for two models of the eccentricity -- the Glauber and the factorized Kharzeev-Levin-Nardi (fKLN) models -- indicate magnitudes which are essentially zero. They suggest that a possible correlation between the orientations of the the odd and even participant planes ($\Psi^*_{n+1}$ and $\Psi^*_n$ respectively), do not have a significant influence on the calculated eccentricities. An experimental verification test for correlations between the orientations of the the odd and even participant planes is also proposed.