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R.D. Matheus, F. S. N. , M. Nielsen and C.M. Zanetti

X(3872) as a charmonium-molecule mixture: mass and decay width. R.D. Matheus, F. S. N. , M. Nielsen and C.M. Zanetti. IF – USP BRAZIL. based on:. arXiv:0907.2683 [hep-ph]. Introduction. 2003: discovery of X(3872) by BELLE.

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R.D. Matheus, F. S. N. , M. Nielsen and C.M. Zanetti

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  1. X(3872) as a charmonium-molecule mixture: mass and decay width R.D. Matheus, F. S. N. , M. Nielsen and C.M. Zanetti IF – USP BRAZIL based on: arXiv:0907.2683 [hep-ph]

  2. Introduction 2003: discoveryof X(3872) by BELLE Is the X a new charmonium state ? Barnes, Godfrey, Swanson, (2005) Mass does notagreewith quark models! Eichten, Lane, Quigg, (2006) the decay violates isospin ! If it is a Probably not a pure quarkonium !

  3. Is the X a D - D* molecule ? Tornqvist, (1994) Braaten, Kusunoki, PRD (2004) Observed decay width is too small ! Observed production rate is too large ! Observed radiative decay rate is too large ! BaBar, arXiv:0907.4575 Swanson, PLB (2004) Probably not a pure molecule ! A charmonium - moleculemixture ?

  4. The X mass in QCD sum rules Assume that X is 1) Choose the current: Sugiyama et al. PRD (2007)

  5. 2) Write the two-point correlation function: Write the hadronic side (phenomenological side):

  6. Write the QCD side (OPE side): 3) Perform the OPE: 4) Identify: 5) Apply Borel transform:

  7. 6) Write the sum rule: Parameters : spectral density pole + continuum

  8. 7) Check the OPE convergence:

  9. 8) Check the pole dominance: 7) + 8) = Borel window

  10. 9) Compute the mass of X:

  11. The X decay width : Maiani et al. PRD (2007) Calculate the couplings with QCDSR

  12. Assume that X is Three-point correlation function: Currents: OPE side:

  13. Phenomenological side: Sum rule: Divide the two sum rules: It is not a pure molecule of the type

  14. Assume that X is It is not

  15. Assume that X is :

  16. Relation between the couplings : X can be the double mixture with

  17. The X total decay width :

  18. Conclusion

  19. Back ups

  20. Multiquark states Mesonmolecule Tetraquark molecule QCD SumRules tetraquark (no complete separationbetweentetraquarksandmolecules)

  21. X can be the double mixture with

  22. XI HADRON PHYSICS March, 22 - 27, 2010, São Sebastião, Brazil

  23. É difícil acreditar...

  24. In QCD : There can be no preferred color ! No simple way to have KdV solitons ! Breaking waves !

  25. But we can estimate the Laplacian : Compute the Lagrangian, energy-momentum tensor and obtain the EOS :

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