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Density Dependence of Condensates (Medium Modifications of Hadrons)

Density Dependence of Condensates (Medium Modifications of Hadrons). B. Kämpfer. Research Center Dresden-Rossendorf Technical University Dresden. * in preparation. with R. Thomas, Th. Hilger. Hadrons = Excitations of QCD Ground State. QCD ground state (vacuum). n,T .

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Density Dependence of Condensates (Medium Modifications of Hadrons)

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  1. Density Dependence of Condensates (Medium Modifications of Hadrons) B. Kämpfer Research Center Dresden-Rossendorf Technical University Dresden * in preparation with R. Thomas, Th. Hilger

  2. Hadrons = Excitations of QCD Ground State QCD ground state (vacuum) n,T

  3. UniversalMaterial Constants of Vacuum? dil. symm. break. symm. break. (spont.), o.p. Condensates, Monopoles, Instantons, Vortices, ... vacuum =

  4. Medium in Dilute Gas Approx.

  5. Expansion not à la Taylor but Wilson: OPE Wilson coeff. quark& gluon operators Observables:

  6. QCD Sum Rules à la Borel condensates Landau damp. pert. term Borel 4-quark condensates (factorization fails)

  7. CB-TAPS: Trnka et al. ´05

  8. Zschocke, Pavlenko, BK PLB ´03 also dim-8 contributions norm. moment Thomas/Zschocke/BK PRL ´05 strong density dependence of combined 4-quark conds.: chirally invariant otherwise: Landau damping term would push up the mass

  9. Book Keeping of 4-Quark Condensates a la Klingl & Weise 1. flavor-pure NPA 2007 by Fierz:

  10. w/o color (1 ... 10) w/ color nucleon: no inverse pure flavor conds.: (1‘ ... 10‘) componets not indep. relations exist between 4-q conds. (not accurately fulfilled in models) Tuebingen chiral quark model : approx. fulfilled

  11. 2. flavor mix NPA 2007 all together: vacuum: 2•5 +10 = 20 medium: 2•10+24 = 44 flavor symmetry: 10 (20)

  12. 4-q cond. = order parameter of chiral symmetry?

  13. 4-q conds. for nucleon  4-q conds. for V interpolating current: Fierz Joffe: t = -1

  14. 4-q cond. = order parameter of chiral symmetry? example: nucleon in vacuum chirally invariant: chirally non-invariant: vacuum: Jido ´96

  15. Ansatz: l.h.s=

  16. 3 indep. sets of combinations of 4-q conds. enter

  17. phenomenological point of view

  18. Scheinast et al. PRL 2006 magnifier 2000 2001 D in medium: Weise/Morath, Hayashigaki expected pattern: hadron scenario Lutz, Korpa 2005: w/o inel. w/ inel.

  19. hadron properties QCD

  20. basic features (Weise,Morath 2001): Pole + Continuum Ansatz w/o change of continuum

  21. Weise/Morath ... ´99: tiny in-medium effects Generalis/Broadhurst ´84: medium resistent OPE: operator mixing

  22. CB-TAPS & Borel QSR: 1. Conclusions strong in-medium change of 4q cond. 4q cond. = new order parameter? 2. N: 4q conds. vs. phenomenlogy 3. D: Sensors for QCD vaccum Quantify change of QCD vacuum: nB, T dependence of material constants hadron masses  condensates

  23. back up slides

  24. Limitations of usual QCDSR even/odd parts: isolating lowest states neg. energy

  25. Tlab = 25 AGeV Chem. Freeze-Out Cleymans-Redlich-Wheaton param. Fuchs et al.: T > 100 MeV  meson effects Leupold: 4-q cond. vs. nB, T

  26. Spec. Function [GeV^-2] E [GeV] 1.6 2.0 = center of gravity of pole ansatz is not appropriate: D+ Lutz, Korpa pole + continuum ansatz

  27. How to Measure Med.-Mod. of D Mesons? K- FAIR: CBM PANDA D0 pi+ lesson from K: measure multiplicity of D Tsushima, Sibirtsev, Friman, Lee,...

  28. Mystery of Mass

  29. sensitive to medium modifications

  30. 3. ss sector: ? strangeness in nucleon? OZI rule

  31. Case of Strangeness: K 2.5 GeV Au (1 AGeV) + Au BUU Uhlig et al. (KaoS) PRL 2005 Scheinast at al. (KaoS) PRL 2006

  32. Case of Di-Electrons A QCD sum rules CB-TAPS Rossendorf BUU model

  33. e+ e- Understanding Hadron Masses Stark Zeeman nuclear matter = external field Brown & Rho (1991): search by HADES ... sensors for QCD vacuum?

  34. e+ e- Nucleus as Laboratory HADES KEK CLAS no FSI: direct probes V. Metag & U. Mosel CB-TAPS @ ELSA FSI

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