Presentation is loading. Please wait.

Presentation is loading. Please wait.

Inha Nuclear Physics Group 2005. 11. 5 Quantum Opacity and Refractivity in HBT Puzzle Jin-Hee Yoon Dept. of Physics, Inha University, Korea John G. Cramer,

Published byPhilomena Smith Modified over 9 years ago

Similar presentations

Presentation on theme: "Inha Nuclear Physics Group 2005. 11. 5 Quantum Opacity and Refractivity in HBT Puzzle Jin-Hee Yoon Dept. of Physics, Inha University, Korea John G. Cramer,"— Presentation transcript:

1 Inha Nuclear Physics Group 2005. 11. 5 Quantum Opacity and Refractivity in HBT Puzzle Jin-Hee Yoon Dept. of Physics, Inha University, Korea John G. Cramer, Gerald A. Miller, M. S. Wu Dept. of Physics, University of Washington, US

2 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlations in Phase-Space Space-time structure of fireball can be studied by HBT interferometry Correlation function is typically parametrized as Beam direction

3 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlations in Phase-Space Hydrodynamic calculation predicts (D. H. Rischke and M. Gyulassy, Nucl. Phys. A608, 479 (1996); P. F. Kolb and U. Heinz, Quark Gluon Plasma 3, World Scientific, Singapore, 2004) But, experimental results are (STAR Collaboration, C. Adler et al., Phys. Rev. Lett. 87, 082301 (2001); PHENIX Collaboration, K. Adcox et al., Phys. Rev. Lett. 88, 192302 (2002); PHENIX Collaboration, A. Enokizono, Nucl. Phys. A715, 595 (2003)) HBT Puzzle

4 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlations in Phase-Space Experimental Data(Au+Au@200 GeV) shows Dense Medium OPACITY and Refractive Effects Our Purpose : Quantum mechanical treatment of Opacity & Refractive effects which reproduces

5 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlations in Phase-Space Theoretically, the observables are expressed by Subscript 0 means no final state interaction (FSI).

6 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Final State Interaction FSI replaces : full scattering outgoing wave function Includes two 4-dimensional integration

7 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Wigner Emission Function Using the hydrodynamic source parameterization (B. Tomasik and U. W. Heinz, Eur. Phys. J. C4, 327 (1998); U. A. Wiedermann and U. W. Heinz, Phys. Rep. 319, 145 (1999)) With boost-invariant longitudinal dynamics

8 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Wigner Emission Function : cylindrically symmetric source density : transverse flow rapidity Since K L =0 for midrapidity data Parameters : R WS, a WS, t 0, Dt, Dh, m p, h f, T

9 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Full Scattering Wavefunction Assumption : Matter is cylindrically symmetric with a long axis in a central collision region Reduced 2-dimensional Klein-Gordon Eq.

10 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Full Scattering Wavefunction Optical Potential :realAt p =0, no opacity Parameters : w 0, w 2 Using partial wave expansion, we can solve K-G Eq. exactly.

11 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Full Scattering Wavefunction In Impulse Approximation, central optical potential Significant opacity Using f : complex forward scattering amplitude For low energy p-p interaction r 0 : central density

12 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlation Function Now our Emission Function is with Large Source Approximation : b ’ ~1/T~1 fm << R WS

13 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlation Function

14 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Correlation Function Here,Are Modified Bessel function.

15 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang HBT Radii Then our transverse radii can be calculated by with

16 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Fitting Parameters m p (MeV ) Dh t 0 (fm/c) w2w2 w 0 (fm -2 ) Dt(fm/c ) a WS (fm ) R WS (fm) hfhf T(MeV) c 2 /N ~ 7.8

17 Inha Nuclear Physics Group 11/05/2005 HIM@Pohang Fitting Parameters Check Temperature T (173 MeV) ~ Tc (160 MeV) h f =1.31 maximum flow velocity ~ 0.85c Source SizeR WS (11.7 fm) ~ R Au (7.3 fm)+4.4 fm Expansion time t 0 (8.2 fm/c) average expansion velocity ~ 0.5c Emission duration Dt(2.9 fm/c) << t 0 (8.2 fm/c) Longitudinal length Dh(1.06) system’s axial length ~ 2t 0 Dh(17.5 fm) : large enough for long cilyndrical symmetry

18 full calculation no flow no refraction no potential Boltzmann for BE thermal distribution

19 full calculation no flow no refraction no potential Boltzmann for BE thermal distribution

20

21

22 Thank you.

Download ppt "Inha Nuclear Physics Group 2005. 11. 5 Quantum Opacity and Refractivity in HBT Puzzle Jin-Hee Yoon Dept. of Physics, Inha University, Korea John G. Cramer,"

Similar presentations

W. A. Horowitz Quark Matter 2005 A Promising Solution to the Elliptic Quench Puzzle at RHIC William A. Horowitz Columbia University August 4-5, 2005.

W. A. Horowitz Quark Matter 2005 A Promising Solution to the Elliptic Quench Puzzle at RHIC William A. Horowitz Columbia University August 4-5, 2005.
Elliptic flow of thermal photons in Au+Au collisions at 200GeV QNP2009 Beijing, Sep 21 - 26, 2009 F.M. Liu Central China Normal University, China T. Hirano.

Elliptic flow of thermal photons in Au+Au collisions at 200GeV QNP2009 Beijing, Sep , 2009 F.M. Liu Central China Normal University, China T. Hirano.
TJH: ISMD 2005, 8/9-15 Kromeriz, Czech Republic TJH: 1 Experimental Results at RHIC T. Hallman Brookhaven National Laboratory ISMD Kromeriz, Czech Republic.

TJH: ISMD 2005, 8/9-15 Kromeriz, Czech Republic TJH: 1 Experimental Results at RHIC T. Hallman Brookhaven National Laboratory ISMD Kromeriz, Czech Republic.
The RHIC HBT Puzzle, Chiral Symmetry Restoration, and Pion Opacity John G. Cramer (with Gerald A. Miller) University of Washington Seattle, Washington,

The RHIC HBT Puzzle, Chiral Symmetry Restoration, and Pion Opacity John G. Cramer (with Gerald A. Miller) University of Washington Seattle, Washington,
Quantum Opacity, RHIC HBT Puzzle, and the Chiral Phase Transition RHIC Physics, HBT and RHIC HBT Puzzle Quantum mech. treatment of optical potential, U.

Quantum Opacity, RHIC HBT Puzzle, and the Chiral Phase Transition RHIC Physics, HBT and RHIC HBT Puzzle Quantum mech. treatment of optical potential, U.
Julia VelkovskaMoriond QCD, March 27, 2015 Geometry and Collective Behavior in Small Systems from PHENIX Julia Velkovska for the PHENIX Collaboration Moriond.

Julia VelkovskaMoriond QCD, March 27, 2015 Geometry and Collective Behavior in Small Systems from PHENIX Julia Velkovska for the PHENIX Collaboration Moriond.
CERN May 30 2007 Heavy Ion Collisions at the LHC Last Call for Predictions Initial conditions and space-time scales in relativistic heavy ion collisions.

CERN May Heavy Ion Collisions at the LHC Last Call for Predictions Initial conditions and space-time scales in relativistic heavy ion collisions.
Triple-gluon and Triple-quark Elastic Scatterings and Early Thermalization Xiao-Ming Xu Shanghai University X.-M. Xu, Y. Sun, A.-Q. Chen, L. Zheng, Nucl.

Triple-gluon and Triple-quark Elastic Scatterings and Early Thermalization Xiao-Ming Xu Shanghai University X.-M. Xu, Y. Sun, A.-Q. Chen, L. Zheng, Nucl.
Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics Barbara Betz and Miklos Gyulassy, Jorge Noronha, Dirk Rischke, Giorgio.

Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics Barbara Betz and Miklos Gyulassy, Jorge Noronha, Dirk Rischke, Giorgio.
The DWEF Model: Refractive Distortions of HBT John G. Cramer (with Gerald A. Miller) University of Washington Seattle, Washington, USA John G. Cramer (with.

The DWEF Model: Refractive Distortions of HBT John G. Cramer (with Gerald A. Miller) University of Washington Seattle, Washington, USA John G. Cramer (with.
A. ISMD 2003, Cracow Indication for RHIC M. Csanád, T. Csörgő, B. Lörstad and A. Ster (Budapest & Lund) Buda-Lund hydro fits to.

A. ISMD 2003, Cracow Indication for RHIC M. Csanád, T. Csörgő, B. Lörstad and A. Ster (Budapest & Lund) Buda-Lund hydro fits to.
1 Systematic studies of freeze-out source size in relativistic heavy-ion collisions by RHIC-PHENIX Akitomo Enokizono Lawrence Livermore National Laboratory.

1 Systematic studies of freeze-out source size in relativistic heavy-ion collisions by RHIC-PHENIX Akitomo Enokizono Lawrence Livermore National Laboratory.
We distinguish two hadronization mechanisms:  Fragmentation Fragmentation builds on the idea of a single quark in the vacuum, it doesn’t consider many.

We distinguish two hadronization mechanisms:  Fragmentation Fragmentation builds on the idea of a single quark in the vacuum, it doesn’t consider many.
Addition of a potential to the Klein-Gordon equation to determine ‘fireball’ size HBT Pion Correlations Laniece Miller – Clarkson University Dr. Ralf Rapp.

Addition of a potential to the Klein-Gordon equation to determine ‘fireball’ size HBT Pion Correlations Laniece Miller – Clarkson University Dr. Ralf Rapp.
STAR Looking Through the “Veil of Hadronization”: Pion Entropy & PSD at RHIC John G. Cramer Department of Physics University of Washington, Seattle, WA,

STAR Looking Through the “Veil of Hadronization”: Pion Entropy & PSD at RHIC John G. Cramer Department of Physics University of Washington, Seattle, WA,
Luan Cheng (Institute of Particle Physics, Huazhong Normal University) I. Introduction II. Interaction Potential with Flow III. Flow Effects on Light Quark.

Luan Cheng (Institute of Particle Physics, Huazhong Normal University) I. Introduction II. Interaction Potential with Flow III. Flow Effects on Light Quark.
Free Quarks and Antiquarks versus Hadronic Matter Xiao-Ming Xu Collaborator: Ru Peng.

Free Quarks and Antiquarks versus Hadronic Matter Xiao-Ming Xu Collaborator: Ru Peng.
Collision system dependence of 3-D Gaussian source size measured by RHIC-PHENIX Akitomo Enokizono Lawrence Livermore National Laboratory 23 rd Winter Workshop.

Collision system dependence of 3-D Gaussian source size measured by RHIC-PHENIX Akitomo Enokizono Lawrence Livermore National Laboratory 23 rd Winter Workshop.
J. RuppertFocus talk on interactions between jets and medium #1 Focus talk on interactions between jets and medium Jörg Ruppert Nuclear Theory, Duke University.

J. RuppertFocus talk on interactions between jets and medium #1 Focus talk on interactions between jets and medium Jörg Ruppert Nuclear Theory, Duke University.
Behind QGP Investigating the matter of the early Universe Investigating the matter of the early Universe Is the form of this matter Quark Gluon Plasma?

Behind QGP Investigating the matter of the early Universe Investigating the matter of the early Universe Is the form of this matter Quark Gluon Plasma?

Similar presentations

Ads by Google