Nuclear Theory · arXiv:1305.3098 v2 · submitted 14 May 2013
A Study of the Di-Hadron Angular Correlation Function in Event by Event Ideal Hydrodynamics
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“Moreover, the fluctuation of the relative phase between trigger and associated particles, Δn = Ψnt−Ψna, 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.”
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Abstract
The di-hadron angular correlation function is computed within boost invariant, ideal hydrodynamics for Au+Au collisions at √sNN = 200 GeV using Monte Carlo Glauber fluctuating initial conditions. When 0 < pT < 3 GeV, the intensity of the flow components and their phases, {vn,Ψn} (n = 2,3), are found to be correlated on an event by event basis to the initial condition geometrical parameters {ε2,n,Φ2,n}, respectively. Moreover, the fluctuation of the relative phase between trigger and associated particles, Δn = Ψnt−Ψna, 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.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
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| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| 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. | method 0.80 | 0.93 | 0.06 | asserted 1.00 |
| 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. | result 1.00 | 0.93 | 0.33 | asserted 1.00 |
| 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. | result 1.00 | 0.93 | 0.30 | asserted 1.00 |
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Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 30 sentences without a confident label
Uses the method or tool of 4 papers
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In order to get an idea of the type of energy density profiles obtained in event by event simulations, we show in Fig. [ref] the initial energy density distribution in the transverse plane at the mid-rapidity for a randomly chosen central Au+Au collision at 200GeV, computed using an implementation of the Monte Carlo Glauber model developed in [ref] and used throughout this work.
Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions · Details of the Hydrodynamic Modelling · 1.00
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In order to get an idea of the type of energy density profiles obtained in event by event simulations, we show in Fig. [ref] the initial energy density distribution in the transverse plane at the mid-rapidity for a randomly chosen central Au+Au collision at 200GeV, computed using an implementation of the Monte Carlo Glauber model developed in [ref] and used throughout this work.
Eccentricity fluctuations from the Color Glass Condensate at RHIC and LHC · Details of the Hydrodynamic Modelling · 1.00
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The method that we used to remove the background and define the function $R (Δϕ)$ is a variation of the widely known mixed event method (this was also used in [ref] ).
Topology studies of hydrodynamics using two particle correlation analysis · Results · 0.99
Compares with 3 papers
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Our code matches the previous tests made using the NexSPheRIO code [ref] and, in Appendix [ref], we show that our code is able to perfectly match the exact solution of 2+1 ideal hydrodynamics obtained in Ref. [ref] (also known as Gubser flow).
Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions · Details of the Hydrodynamic Modelling · 0.87
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Our code matches the previous tests made using the NexSPheRIO code [ref] and, in Appendix [ref], we show that our code is able to perfectly match the exact solution of 2+1 ideal hydrodynamics obtained in Ref. [ref] (also known as Gubser flow).
Symmetry constraints on generalizations of Bjorken flow · Details of the Hydrodynamic Modelling · 0.87
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These results are compatible with those obtained in Ref. [ref] where the linear correlation between the $p_T$ integrated flow coefficients and the eccentricities was investigated (within viscous hydrodynamics).
Event-by-event distributions of azimuthal asymmetries in ultrarelativistic heavy-ion collisions · Results · 0.91
Cites as support 2 papers
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As it was mentioned in the previous section, Eqs. ([ref]) and ([ref]) show that the $v_n$ coefficients alone (or, equivalently, the eccentricities alone) do not provide enough information to produce the azimuthal structures observed in the di-hadron correlation function [ref] in the case where the $p_T$ bins of the triggers and associated hadrons are different.
Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV · Eccentricity definition · 0.97
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A motivation for the definition ([ref]) can be found in Ref. [ref] where it was shown that the eccentricities defined above are related to the irreducible components of the cumulant expansion of the initial energy density distribution.
Triangularity and Dipole Asymmetry in Heavy Ion Collisions · Eccentricity definition · 0.96
Cites as background 21 papers
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Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.
Collision geometry fluctuations and triangular flow in heavy-ion collisions · Introduction · 0.93
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Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.
Triangular flow in hydrodynamics and transport theory · Introduction · 0.93
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Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.
Understanding anisotropy generated by fluctuations in heavy-ion collisions · Introduction · 0.93
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