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

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 $\left\{{\epsilon }_{2,n},{\Phi }_{2,n}\right\}$, 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.

Comments: 15 pages, 10 figures; typos fixed, added references