Anisotropic Transverse Flow and the HBT Correlation Function

Abstract

Utilizing the Lorentz invariance of the correlation function we study the effects of anisotropic transverse flow on the HBT correlation function. In particular we show that directed flow would evidence itself by non zero ``side--long'' and ``side--out'' terms in the correlation function. We also show that the study of ratios of the correlation functions evaluated on different event subsamples and/or different Lorentz systems provides information on the source dimensions and velocity which could be less biased by corrections of different kinds. We present a fitting technique appropriate for HBT analysis which does not require binning and is especially useful for multidimensional fitting.

15 pages, LATEX

References in corpus (8)

• Bose-Einstein Correlations for Three-Dimensionally Expanding, Cylindrically Symmetric, Finite Systems
• Observation of Anisotropic Event Shapes and Transverse Flow in Au+Au Collisions at AGS Energy
• Extracting Source Parameters from Gaussian Fits to Two-Particle Correlations
• Transverse Momentum Dependence of Hanbury-Brown/Twiss Correlation Radii
• Source Dimensions in Ultrarelativistic Heavy Ion Collisions
• Bose-Einstein Correlations for Expanding Finite Systems
• Hanbury-Brown--Twiss Analysis in a Solvable Model
• Hbt Analysis of Anisotropic Transverse Flow

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• Collective phenomena in non-central nuclear collisions
• Two-particle interferometry for non-central heavy-ion collisions
• Azimuthally-sensitive femtoscopy from RHIC to LHC in hydrodynamics with statistical hadronization
• Azimuthal Dependence of Pion Interferometry at the AGS
• Tilted Pion Sources from Azimuthally Sensitive HBT Interferometry
• Symmetry constraints for the emission angle dependence of Hanbury Brown--Twiss radii
• Event Anisotropy in High Energy Nucleus-Nucleus Collisions
• Emission angle dependent pion interferometry at RHIC and beyond
• Elliptic Flow: A Study of Space-Momentum Correlations In Relativistic Nuclear Collisions
• Correspondence between HBT radii and the emission zone in non-central heavy ion collisions
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• Azimuthal dependence of pion source radii in Pb+Au collisions at 158 A GeV
• Azimuthally differential pion femtoscopy in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Femtoscopy of the system shape fluctuations in heavy ion collisions
• Space-time analysis: HBT at SPS and RHIC
• Azimuthally-differential pion femtoscopy relative to the third harmonic event plane in Pb-Pb collisions at $\sqrt{{\text{s}}_{{}_{\mathrm{NN}}}}$ = 2.76 TeV
• Interferometry for rotating sources