Study on initial geometry fluctuations via participant plane correlations in heavy ion collisions: part II

TL;DR

This paper investigates correlations between participant plane angles in heavy ion collisions using a Glauber model, identifying measurable strong correlations that can enhance understanding of flow harmonics.

Contribution

It introduces detailed predictions of multi-plane correlations in heavy ion collisions, linking geometric fluctuations to measurable reaction plane correlations.

Findings

Strong correlation for $ ext{cos}(2 ext{Phi}_2^*+3 ext{Phi}_3^*-5 ext{Phi}_5^*)$

Identifies multiple measurable multi-plane correlations

Provides a framework for experimental comparison

Abstract

Further investigation of the participant plane correlations within a Glauber model framework is presented, focusing on correlations between three or four participant planes of different order. A strong correlation is observed for $\cos(2\Phi_{2}^*+3\Phi_{3}^*-5\Phi_{5}^*)$ which is a reflection of the elliptic shape of the overlap region. The correlation between the corresponding experimental reaction plane angles can be easily measured. Strong correlations of similar geometric origin are also observed for $\cos(2\Phi_{2}^*+4\Phi_{4}^*-6\Phi_{6}^*)$, $\cos(2\Phi_2^*-3\Phi_3^*-4\Phi_4^*+5\Phi_5^*)$, $\cos(6\Phi_2^*+3\Phi_3^*-4\Phi_4^*-5\Phi_5^*)$, $\cos(\Phi_1^*-2\Phi_2^*-3\Phi_3^*+4\Phi_4^*)$, $\cos(\Phi_1^*+6\Phi_2^*-3\Phi_3^*-4\Phi_4^*)$, and $\cos(\Phi_1^*+2\Phi_2^*+3\Phi_3^*-6\Phi_6^*)$, which are also measurable. Experimental measurements of the corresponding reaction plane correlators in heavy ion collisions at RHIC and the LHC may improve our understanding of the physics underlying the measured higher order flow harmonics.