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Proofing the Source Imaging Technique. Roy Lacey Nuclear Chemistry, SUNY, Stony Brook. Outline. What is the Source Imaging Technique Done – Pawel Why do we need source imaging ? How do we proof and validate it ? Sample Results and Implications see Paul’s talk.
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Proofing the Source Imaging Technique Roy Lacey Nuclear Chemistry, SUNY, Stony Brook
Outline • What is the Source Imaging Technique • Done – Pawel • Why do we need source imaging ? • How do we proof and validate it ? • Sample Results and Implications • see Paul’s talk
Conjecture of heavy ion collision hadronic phase and freeze-out QGP and hydrodynamic expansion initial state pre-equilibrium hadronization Strong 1st order QCD phase transition: (Pratt, Bertsch, Rischke, Gyulassy) Supercooled QGP (scQGP) (T. Csörgő, L.P. Csernai) Second order QCD phase transition: (T. Csörgő , S. Hegyi, T. Novák, W.A. Zajc) (Non Gaussian shape) Why we need source Imaging? Courtesy S. Bass Femtoscopy Signatures: Cross-over transition: Z. Fodor and S.D. Katz Femtoscopic signals are subtle and important
There are known knowns. These are things we know that we know. There are known unknowns. That is to say, there are things that we know we don't know. But there are also unknown unknowns. There are things we don't know we don't know Donald Rumsfeld A Known Known: A Crossover transition to the strongly interacting QGP occurs at RHIC
Known Knowns x k ε scaling validated
Known Knowns P Baryons Mesons PHENIX preliminary KET scaling validated Quark Degrees of Freedom Evident
Known Knowns v2 for the φ follows that of other mesons Flow fully developed in the partonic phase
Known Knowns v2 for the heavy D meson follows that of other mesons A Phase with Quarks as dynamical degrees of freedom Dominates the flow
Why we need source Imaging Validates cross over A Cross over Strongly affects the Space-time Dynamics
Boost + finite tail, but only modest core increase, in L,O directions. Why we need source Imaging Dave Brown WPCF - 2005 Set Rx=Ry=Rz=4fm, f/o=10 fm/c, T=175 MeV, f=0.56
New ! Expand R(q) and S(r) in Cartesian Harmonic basis (Danielewicz and Pratt nucl-th/0501003) Source function (Distribution of pair separations) Correlation function Encodes FSI Life Time measurements As a probe for the transition Substitute (2) and (3) into (1) 3D Koonin Pratt Eqn. Reliable measurement of the full Source Function (finally) ! Inversion of this integral equation Source Function
Compare Proofing the Source Imaging Technique • Generate Events • Phasemaker • AMPT • Therminator • etc Correlation Function 3D C(q) Moments Moment Fitting Calculated Source Function Source Imaging
Test with simulated Gaussian source -- t =0 Very good simultaneous fit obtained as expected
Test with simulated Gaussian source -- t =0 Good reproduction of actual source function
Test with simulated Gaussian source -- t =0 Very good simultaneous fit obtained as expected
Test with simulated Gaussian source -- t =0 Good reproduction of actual source function
Test with simulated Gaussian source -- t =5 Simultaneous fit not very good
Test with simulated Gaussian source -- t =5 Source function from ellipsoid fit misses the mark
Test with simulated Gaussian source -- t =5 Simultaneous with hump function – much better
Test with simulated Gaussian source -- t =5 Hump function and imaging compare well to actual source
Correlation Moments Sample Data Source Function Comparison to Models Give robust life time estimates Crossover transition
Extensive study of imaging technique Technique is Robust
3D Analysis Basis of Analysis (Danielewicz and Pratt nucl-th/0501003 (v1) 2005) Expansion of R(q) and S(r) in Cartesian Harmonic basis 3D Koonin Pratt (3) Plug in (1) and (2) into (3) (1) (2)
