Correspondence between HBT radii and the emission zone in non-central heavy ion collisions

Abstract

In non-central collisions between ultra-relativistic heavy ions, the freeze-out distribution is anisotropic, and its major longitudinal axis may be tilted away from the beam direction. The shape and orientation of this distribution are particularly interesting, as they provide a snapshot of the evolving source and reflect the space-time aspect of anisotropic flow. Experimentally, this information is extracted by measuring pion HBT radii as a function of angle with respect to the reaction plane. Existing formulae relating the oscillations of the radii and the freezeout anisotropy are in principle only valid for Gaussian sources with no collective flow. With a realistic transport model of the collision, which generates flow and non-Gaussian sources, we find that these formulae approximately reflect the anisotropy of the freezeout distribution.

9 pages, 8 figures

References in corpus (13)

• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Systematic Comparison of Jet Energy-Loss Schemes in a realistic hydrodynamic medium
• Azimuthally-sensitive femtoscopy from RHIC to LHC in hydrodynamics with statistical hadronization
• Effects of a phase transition on HBT correlations in an integrated Boltzmann+Hydrodynamics approach
• Fitted HBT radii versus space-time variances in flow-dominated models
• Resolving the plasma profile via differential single inclusive suppression
• Azimuthal dependence of pion source radii in Pb+Au collisions at 158 A GeV
• Interplay among the azimuthally dependent HBT radii and the elliptic flow
• Transport model analysis of particle correlations in relativistic heavy ion collisions at femtometer scales
• Transport model analysis of the transverse momentum and rapidity dependence of pion interferometry at SPS energies
• Pion freeze-out as seen through HBT correlations in heavy ion collisions from FAIR/AGS to RHIC energies
• Exploring Lifetime Effects in Femtoscopy
• Spectra, elliptic flow and azimuthally sensitive HBT radii from Buda-Lund model for sqrt(s(NN)) = 200 GeV Au+Au collisions

Cited by in corpus (14)

• Flow and interferometry results from Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 4.5 GeV
• Review of Recent Results from the RHIC Beam Energy Scan
• Identical pion intensity interferometry at sqrt(s_{NN})=2.4 GeV
• Differential HBT Applied to Relativistic Fluid Dynamics
• Identical pion intensity interferometry in central Au+Au collisions at 1.23A GeV
• Beam energy scan theory: Status and open questions
• Study of Rotating High Energy Systems with the Differential HBT Method
• A twisted emission geometry in non-central Pb+Pb collisions measurable via azimuthally sensitive HBT
• Energy dependence of the freeze out eccentricity from the azimuthal dependence of HBT at STAR
• Azimuthally integrated HBT parameters for charged pions in nucleus-nucleus interactions versus collision energy
• Beam energy dependent two-pion interferometry and the freeze-out eccentricity of pions in heavy ion collisions at STAR
• An Event Plane Detector for STAR -- Construction Proposal 2016
• Accessing proton number fluctuations in limited regions of phase space
• Oscillating HBT radii and the time evolution of the source - sqrt(s_NN) = 200 GeV Au+Au data analyzed with azimuthally sensitive Buda-Lund hydro model