Pion Interferometry for a Granular Source of Quark-Gluon Plasma Droplets

Abstract

We examine the two-pion interferometry for a granular source of quark-gluon plasma droplets. The evolution of the droplets is described by relativistic hydrodynamics with an equation of state suggested by lattice gauge results. Pions are assumed to be emitted thermally from the droplets at the freeze-out configuration characterized by a freeze-out temperature $T_f$. We find that the HBT radius $R_{out}$ decreases if the initial size of the droplets decreases. On the other hand, $R_{side}$ depends on the droplet spatial distribution and is relatively independent of the droplet size. It increases with an increase in the width of the spatial distribution and the collective-expansion velocity of the droplets. As a result, the value of $R_{out}$ can lie close to $R_{side}$ for a granular quark-gluon plasma source. The granular model of the emitting source may provide an explanation to the RHIC HBT puzzle and may lead to a new insight into the dynamics of the quark-gluon plasma phase transition.

5 pages, 4 figures

References in corpus (20)

• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Early thermalization at RHIC
• The Time-Delay Signature of Quark-Gluon-Plasma Formation in Relativistic Nuclear Collisions
• Pion Interferometry of $\sqrt{s_{NN}}=130$ GeV Au+Au Collisions at RHIC
• Partonic Effects on Pion Interferometry at the Relativistic Heavy Ion Collider
• Transverse mass dependence of two-pion correlations in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Boson Interferometry in High Energy Physics
• Pion Interferometry at RHIC: Probing a thermalized Quark-Gluon-Plasma?
• An unusual space-time evolution for heavy ion collisions at high energies due to the QCD phase transition
• Spinodal decomposition during the hadronization stage at RHIC?
• Dynamical Growth Rate of a Diffuse Interface in First Order Phase Transitions
• Kaon Interferometry: A Sensitive Probe of the QCD Equation of State?
• Differential freezeout and pion interferometry at RHIC from covariant transport theory
• Correlations and Fluctuations, A Summary of Quark Matter 2002
• Intensity Interferometry for a Chaotic Source with a Collective Flow and Multiple Scattering
• Inflation of fireballs, the gluon wind and the homogeneity of the HBT radii at RHIC
• Dynamical Viscosity of Nucleating Bubbles
• Domain Wall Dynamics of Phase Interfaces
• Viscous Corrections to Spectra, Elliptic Flow, and HBT Radii
• (Strange) Meson Interferometry at RHIC

Cited by in corpus (20)

• Analysis of pion elliptic flows and HBT interferometry in a granular quark-gluon plasma droplet model
• Chaoticity Parameter Lambda in Hanbury-Brown Twiss Interferometry
• Characteristic quantities of pion-emitting sources extracted by model-independent analysis in relativistic heavy ion collisions
• Squeezed correlations of $\varphi$ meson pairs for hydrodynamic sources in high-energy heavy-ion collisions
• Signals in Single-Event Pion Interferometry for Granular Sources of Quark-Gluon Plasma Droplets
• Signature of Granular Structures by Single-Event Intensity Interferometry
• Analytical Solutions of Landau (1+1)-Dimensional Hydrodynamics
• Predictions for squeezed back-to-back correlations of $\varphi \varphi$ and $K^{+}{K}^{-}$ in high-energy heavy-ion collisions by event-by-event hydrodynamics
• Imaging of granular sources in high energy heavy ion collisions
• Detection of source inhomogeneity through event-by-event two-pion Bose-Einstein correlations
• Explanation of the RHIC HBT Puzzle by a Granular Source of Quark-Gluon Plasma Droplets
• HBT interferometry with quantum transport of the interfering pair
• Azimuthal-sensitive three-dimensional HBT radius in Au-Au collisions at $E_{beam}=1.23$$A$ GeV by the IQMD model
• Two-pion interferometry for the granular sources in ultrarelativistic heavy ion collisions
• Klein-Gordon Equation in Hydrodynamical Form
• Fluctuations of pion flow harmonics and HBT correlation functions in ultrarelativistic heavy ion collisions
• Two-pion interferometry for viscous hydrodynamic sources
• Single-Event Handbury-Brown-Twiss Interferometry
• Interferometry signatures for QCD first-order phase transition in heavy ion collisions at GSI-FAIR energies
• Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model