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Marcus Bleicher, Di-lepton Workshop, Trento 2007. Thanks to the UrQMD group. Katharina Schmidt Sascha Vogel Xianglei Zhu Daniel Krieg Horst Stoecker. . Hannah Petersen Ayut Limphirat Stephane Haussler Timo Spielmann Qingfeng Li. Special thanks to C. Sturm (HADES). Marcus Bleicher, Di-lepto
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1. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Are di-leptons sensitive messengers from the hot and dense stage? Marcus Bleicher
Institut für Theoretische Physik
Goethe Universität Frankfurt
Germany
2. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Thanks to the UrQMD group
3. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Outline Introduction
Baryon densities: methods, results
Densities at rho decay
Model features
Di-leptons
Summary
4. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Tools: Transport approaches
5. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Motivation
6. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Do we understand the interesting stages of the reaction?
7. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Phase trajectories
8. Marcus Bleicher, Di-lepton Workshop, Trento 2007 What do we want to see??in-medium spectral functions Mass shift of the r mesonroughly from 770 MeV ? 600 MeV
Modified width of the r mesonroughly from 150 MeV ? 300 MeV
Possibly modifications of f and w
?Do we know the densities to the required precission?
9. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Problems How are energy density and baryon density defined? (N/V doesn’t work!) - What frame? Landau? Eckardt?- Lorentz contraction? Nucleus? Nucleon?
Is the system thermalized?- Viscous contributions in hydro?
What are the degrees of freedom?
10. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Baryon density Define baryon density at point r in the Eckardt frame (vanishing baryon flow)
?I.e. rB(r)= j0B(r) in the frame with jm=(rB,0)
Lorentz contraction for the nucleons along the beam axis is taken into account
11. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Further problem: thermalization Sound definition of the baryon current/density is possible
However, free streaming effects are not excluded (the defined baryon density is not thermal)
?consider only particles that have a velocity around to the thermal velocity (similar to three-fluid approach, Brachmann et al)not practical for transport…
12. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Local baryon densities(Averaged over the positions of all hadrons) Are we able to observe unambiguous signals from the most compressed region of the system?
13. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Baryon densities in momentum spaceat the point of the rho decay
14. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Gain and loss rates of rho mesons Maximal densities reached at t=10,4,2 fm
rho production at HADES energies driven by baryon resonance decays
at higher energies: major early stage production, but still sizeable tail from decays in the late stage
15. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Absorption vs decay How are the dileptons calculated?
Shining vs decay
Strong absorption in the early stages
16. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Density distributions Distribution baryon density at the point of rho decay or absorption
Significantly higher reach in density if absorbed rhos are included.(However, here the integrated rho life times are shorter)
17. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Density vs rho mass Absorption has the highest reach in density?shining method necessary?
Moderate mass dependence
Final feeding from decays around 1-2 ground state density
18. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Are the dynamical models good enough? Check space-time evolution?HBT correlations
Check particle production?Pion production (pp?r !)?Baryon resonances (r from decays !)?Final state r from pp correlations
19. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Excitation functions
20. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Detailed view at low energies
21. Marcus Bleicher, Di-lepton Workshop, Trento 2007 HBT-Energy dependence Data shows no dramatic features
Expansion and decoupling dynamics ok
Fireball life time ok
22. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Why resonances are interesting? There is a (long living) hadronic rescattering stage at FAIR and SPS energies
Lifetime and properties of the hadronic stage aredefined and probed by resonance production/absorption/re-feeding/decay
Use different resonances to explore this stage: e.g. mesons: baryons:
Are resonances dissolved/broadened/shifted in matter?
23. Marcus Bleicher, Di-lepton Workshop, Trento 2007 The rho has additional potential: Hadronic vs leptonic channel
24. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Decay time distribution of r mesons
25. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Expected multiplicities
26. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Di-leptons: Some technical issues Different di-lepton physics:- VMD, EVMD, form factors, - collisional broadening, shining, - explicit r, effective r, instant di-leptons? Different result from same input!? Standard / consensus needed
Bremsstrahlung?!
27. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Hadrons?di-leptons
28. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Comparison to CERES @ 160 AGeV
29. Marcus Bleicher, Di-lepton Workshop, Trento 2007 FAIR energy: UrQMD
30. Marcus Bleicher, Di-lepton Workshop, Trento 2007 HADES energies: UrQMD
31. Marcus Bleicher, Di-lepton Workshop, Trento 2007 HADES energies: IQMD/RQMD
32. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Di-lepton summary Model differences due to different di-lepton ‘after burner’!
Clear hint of non-equilibrium contributions
33. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Comparison:(R)QMD/UrQMD Transport models yield same results with SAME di-lepton code
34. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Summary
35. Marcus Bleicher, Di-lepton Workshop, Trento 2007 ‘Trivial’ physics effects Even without chiral symmetry restaurationand in-medium modifications one expects a modification of the r spectral function
36. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Di-leptons from the r Broadening and mass shift of the r meson
In-medium modifications increase towards lower energies
37. Marcus Bleicher, Di-lepton Workshop, Trento 2007 r mass distribution in C(2AGeV)+C Double hump feature
Strong contribution to low mass r’s from N*1520
Only small contributions from pp channel
38. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Rapidity dependence of masses Test: With increasing rapidity, baryonic contribution outweighs pp channel
r mass decreases towards forward rapidity
39. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Brown-Rho vs. kinematics
40. Marcus Bleicher, Di-lepton Workshop, Trento 2007 Summary (II) - Detector