A Study of the Di-Hadron Angular Correlation Function in Event by Event Ideal Hydrodynamics

TL;DR

This study uses ideal hydrodynamics with fluctuating initial conditions to analyze di-hadron angular correlations in Au+Au collisions, revealing event-by-event correlations between flow components and initial geometries, and the impact of phase fluctuations on correlation functions.

Contribution

It introduces a detailed event-by-event analysis of di-hadron correlations within ideal hydrodynamics, highlighting the role of initial condition fluctuations and phase differences.

Findings

Flow components correlate with initial geometries event by event

Phase fluctuations influence di-hadron correlation functions

Event-by-event analysis reveals detailed correlation structures

Abstract

The di-hadron angular correlation function is computed within boost invariant, ideal hydrodynamics for Au+Au collisions at $\sqrt{s}_{NN}=200$ GeV using Monte Carlo Glauber fluctuating initial conditions. When $0<p_T< 3$ GeV, the intensity of the flow components and their phases, $\left\{v_n, \Psi_n \right \}$ ($n=2,3$), are found to be correlated on an event by event basis to the initial condition geometrical parameters $\left\{\varepsilon_{2,n}, \Phi_{2,n} \right \}$, respectively. Moreover, the fluctuation of the relative phase between trigger and associated particles, $\Delta_n =\Psi_n^t - \Psi_n^a$, is found to affect the di-hadron angular correlation function when different intervals of transverse momentum are used to define the trigger and the associated hadrons.