Imaging Three Dimensional Two-particle Correlations for Heavy-Ion Reaction Studies

Abstract

We report an extension of the source imaging method for analyzing three-dimensional sources from three-dimensional correlations. Our technique consists of expanding the correlation data and the underlying source function in spherical harmonics and inverting the resulting system of one-dimensional integral equations. With this strategy, we can image the source function quickly, even with the finely binned data sets common in three-dimensional analyses.

13 pages, 11 figures, submitted to Physical Review C

References in corpus (13)

• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Flavor Production in Pb(160AGeV) on Pb Collisions: Effect of Color Ropes and Hadronic Rescattering
• Observable implications of geometrical and dynamical aspects of freeze-out in heavy ion collisions
• Two-Particle Correlations in Relativistic Heavy-Ion Collisions
• Deconvolution with correct sampling
• Imaging of Sources in Heavy-Ion Reactions
• Optimized Discretization of Sources Imaged in Heavy-Ion Reactions
• Observing Non-Gaussian Sources in Heavy-Ion Reactions
• A method for spatial deconvolution of spectra
• Universal pion freeze-out phase-space density
• Testing the Core-Halo Model on Bose-Einstein Correlation Functions
• Imaging proton sources and space-momentum correlations
• Alternative Size and Lifetime Measurements for High-Energy Heavy-Ion Collisions

Cited by in corpus (20)

• Pion femtoscopy in p+p collisions at sqrt(s)=200 GeV
• Constraining the initial temperature and shear viscosity in a hybrid hydrodynamic model of $\sqrt{s_{NN}}$=200 GeV Au+Au collisions using pion spectra, elliptic flow, and femtoscopic radii
• Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
• $\Lambda \mathrm{K}$ femtoscopy in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Fitted HBT radii versus space-time variances in flow-dominated models
• Pion-kaon femtoscopy and the lifetime of the hadronic phase in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Efficient and robust calculation of femtoscopic correlation functions in spherical harmonics directly from the raw pairs measured in heavy-ion collisions
• Characteristic quantities of pion-emitting sources extracted by model-independent analysis in relativistic heavy ion collisions
• Coulomb Effects in Femtoscopy
• Imaging Freeze-out Sources and Extracting Strong Interaction Parameters in Relativistic Heavy-Ion Collisions
• Emission source functions in heavy ion collisions
• Modelling Bose Einstein Correlations via Elementary Emitting Cells
• Imaging of granular sources in high energy heavy ion collisions
• Three-Dimensional two-pion source image from Pb+Pb Collisions at Sqrts_NN=17.3 GeV: New constraints for source breakup dynamics
• Exploring Lifetime Effects in Femtoscopy
• Determining source cumulants in femtoscopy with Gram-Charlier and Edgeworth series
• Femtoscopy of identified particles at STAR
• Towards reliable calculations of the correlation function
• Probing the Three-dimension Emission Source and Neutron Skin via $\pi$-$\pi$ Correlations in Heavy-Ion Collisions
• Recent results on Bose-Einstein correlations by the PHENIX Experiment