1 / 21

In-Medium Studies of Omega, Nucleon and Open Charm with QCD Sum Rules

In-Medium Studies of Omega, Nucleon and Open Charm with QCD Sum Rules. Ronny Thomas. Forschungszentrum Dresden-Rossendorf / TU Dresden. Dresden, September 2007. In-Medium Modification of Hadrons:  , N, D QCD Sum Rules Four-Quark Condensates.

delilah-perry
Download Presentation

In-Medium Studies of Omega, Nucleon and Open Charm with QCD Sum Rules

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. In-Medium Studies of Omega, Nucleon and Open Charm with QCD Sum Rules Ronny Thomas Forschungszentrum Dresden-Rossendorf / TU Dresden Dresden, September 2007 • In-Medium Modification of Hadrons: , N, D • QCD Sum Rules • Four-Quark Condensates work with T. Hilger, S. Zschocke and B. Kämpfer supported by BMBF, GSI, EU, Helmholtz

  2. Universal CONDENSATES , … ? |  temperature > 0 density > 0 QCD Sum Rules QCD vacuum In-Medium Modifications Analogy: Stark & Zeemann effects

  3. Chiral condensate Gluon condensate Zschocke et al (2002) (PCAC) Trace anomaly Mixed quark-gluon condensate Catalog of four-quark condensates …

  4. „in-medium“ Nb (A=93)       0 0   LH2 (A=1)    in medium CB-TAPS  + A→ A‘ +  (→ 0 +  ) Trnka, Metag et al, PRL (2005) First moment: First moment • implies strong density dependence of specific four-quark condensate combinations RT, Zschocke, Kämpfer, PRL (2005) • change of QCD vacuum … Brown-Rho scaling ( In-medium shift  HADES)

  5. QCD Sum Rules Shifman, Vainshtein, Zakharov (1979)  meson: Current-current correlator Dispersion Relation Operator Product Expansion (OPE) Hadronic side Next talk: T. Hilger Aspects of the OPE

  6. Twice subtracted, Borel transformed dispersion relation Operator product expansion Wilson coefficients x CONDENSATES Ci small larger FOUR-QUARK CONDENSATES

  7. Catalog of Four-Quark Condensates time, parity reversal invariance, … One flavor: FIERZ Vacuum: 5 Medium: 5+5 no inverse:  nucleon Two flavors: but implies relations: Vacuum: 2•5 +10 = 20 Medium: 2•10+24 = 44 → flavor symmetry: 10 (20)

  8. med 1 0 2 4 n / n0 1 Four-Quark Condensates Factorization and beyond: Chiral Symmetry: invariant → order parameter not V-A not invariant  invariant N (vacuum) invariant

  9. Nucleon in medium RT, Hilger, Kämpfer, NPA (2007) condensates Weighted dispersion relation condensates moments: Parametrization of hadronic side: →Sum rules in pole ansatz: Furnstahl, Griegel, Cohen, PRC (1992)

  10. Analysis: Nucleon in medium four-quark condensates 3 coupled sum rule equations: * Drukarev et al, PRD (2003) ** Plohl, Fuchs, PRC (2006)

  11. Scalar self-energy Numerical impact of density dependence of combined four-quark condensates: Vector self-energy

  12. N Vector, scalar self-energies Analytical estimates: Example for fine-tuned set opposite effects In-medium Ioffe approximation:

  13. Comparison:  in medium Zschocke, Pavlenko, Kämpfer, PLB (2003)

  14. Morath, Weise (2001) Hayashigaki (2000) ~ - ( 0 … 50 ) MeV ~ 30 … 50 MeV at saturation density ? Zschocke (2005) Open Charm: D CBM and PANDA @ FAIR D+ similar to K- - 80 MeV at saturation density Scheinast et al (KaoS), PRL (2006) D-,K+dc, us D meson in medium: D+,K-dc, us

  15. Example of Operator Product Expansion for D-meson: amplifier mixing of QCD condensates under renormalization (Diploma thesis T. Hilger)

  16. Conclusion • catalog of four-quark condensates • combinations of in-medium four-quark condensates:  → strong density dependence N → some density dependence • different sum rules → no factorization of combined four-quark condensates → combinations like e.g. may serve as further order parameters of chiral symmetry breaking • further hadrons probe other condensates: D → CBM, PANDA Modified QCD vacuum

  17. : Nucleon • interpolating field not unique • inclusion of derivatives Braun, Schäfer et al, PLB (1993) t = -1 Ioffe interpolating field: ci: (for vacuum)

  18. Nucleon in vacuum Chiral condensate full QSR

  19. QCD Sum Rules: 3 equations

  20. ← small impact 3 coupled sum rule equations weak density dependence of specific four-quark condensate combinations Gross-Boelting, Fuchs, Fäßler, NPA (1999) Drukarev, Fäßler et al, PRC (2004): • nucleon matrix elements of four-quark • operators for the nucleon structures • → weak density dependence Lattice: Göckeler, Schäfer et al, NPB (2002)

  21. Analysis: Nucleon in medium Threshold dependence

More Related