Optimized Discretization of Sources Imaged in Heavy-Ion Reactions

Abstract

We develop the new method of optimized discretization for imaging the relative source from two particle correlation functions. In this method, the source resolution depends on the relative particle separation and is adjusted to available data and their errors. We test the method by restoring assumed pp sources and then apply the method to pp and IMF data. In reactions below 100 MeV/nucleon, significant portions of the sources extend to large distances (r > 20 fm). The results from the imaging show the inadequacy of common Gaussian source-parametrizations. We establish a simple relation between the height of the pp correlation function and the source value at short distances, and between the height and the proton freeze-out phase-space density.

36 pages (inc. 9 figures), RevTeX, uses epsf.sty. Submitted to Phys. Rev. C

References in corpus (2)

• Imaging of Sources in Heavy-Ion Reactions
• Two-pion correlations in Au+Au collisions at 10.8 GeV/c per nucleon

Cited by in corpus (37)

• A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Partonic Effects on Pion Interferometry at the Relativistic Heavy Ion Collider
• Finite-size effect on two-particle production in continuous and discrete spectrum
• Imaging Sources with Fast and Slow Emission Components
• Observing Non-Gaussian Sources in Heavy-Ion Reactions
• Bose-Einstein correlations of pion pairs in central Pb+Pb collisions at CERN SPS energies
• Correlations and Characterization of Emitting Sources
• Source breakup dynamics in Au+Au Collisions at sqrt(s_NN)=200 GeV via three-dimensional two-pion source imaging
• Probing Transport Theories via Two-Proton Source Imaging
• Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
• Two-proton small-angle correlations in central heavy-ion collisions: a beam-energy and system-size dependent study
• Imaging Three Dimensional Two-particle Correlations for Heavy-Ion Reaction Studies
• Chaoticity Parameter Lambda in Hanbury-Brown Twiss Interferometry
• The relationship between particle freeze-out distributions and HBT radius parameters
• Model-independent source imaging using two-pion correlations in 2 to 8A GeV Au + Au collisions
• On $m_T$ dependence of femtoscopy scales for meson and baryon pairs
• Characteristic quantities of pion-emitting sources extracted by model-independent analysis in relativistic heavy ion collisions
• Imaging proton sources and space-momentum correlations
• Reconstructing ${\rho }^0$ and $\omega$ mesons from non-leptonic decays in C+C at 2AGeV
• HBT interferometry relative to the triangular flow plane in heavy-ion collisions
• Signature of Granular Structures by Single-Event Intensity Interferometry
• Emission source functions in heavy ion collisions
• Extracting particle freeze-out phase-space densities and entropies from sources imaged in heavy-ion reactions
• Angular Dependence in Proton-Proton Correlation Functions in Central ${}^{40}Ca{+}^{40}Ca$ and ${}^{48}Ca{+}^{48}Ca$ Reactions
• Imaging of granular sources in high energy heavy ion collisions
• d-alpha Correlation functions and collective motion in Xe+Au collisions at E/A=50 MeV
• Implications of the unusual structure in the pp correlation from Pb+Pb collisions at 158 AGeV
• 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
• Towards the 3D-Imaging of Sources
• Evidence for non-Gaussian tail in 3D pion emission source at the SPS
• Determining source cumulants in femtoscopy with Gram-Charlier and Edgeworth series
• Three-Dimensional Two-Pion Emission Source at SPS: Extraction of Source Breakup Time and Emission Duration
• Implications of two-body fragment decay for the interpretation of emission chronology from velocity-gated correlation functions
• Ambiguities in the HBT approach to determine the interaction regions
• Accessing the Space-Time Development of Heavy-Ion Collisions With Theory And Experiment