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

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.