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BARYONS 2013 International Conference On The Structure of Baryons Glasgow, June 2013

BARYONS 2013 International Conference On The Structure of Baryons Glasgow, June 2013. HEAVY QUARKONIA DESCRIPTION FROM AN ENERGY DEPENDENT POTENTIAL P. González Universitat de València and IFIC (SPAIN). 12 New Neutral Charmonium States since PDG 2000

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BARYONS 2013 International Conference On The Structure of Baryons Glasgow, June 2013

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  1. BARYONS 2013 International Conference On The Structure of Baryons Glasgow, June 2013

  2. HEAVY QUARKONIA DESCRIPTION FROM AN ENERGY DEPENDENT POTENTIAL P. González Universitat de València and IFIC (SPAIN)

  3. 12 New Neutral Charmonium States since PDG 2000 9 X States (7 + 2 ? Unconventional) J. Beringer et al. (PDG)PRD 86, 010001 (2012)

  4. Conventional States S. Godfrey, N. Isgur PRD 32, 189 (1985)

  5. X(4660) X(4350) X(4360) D*D*0|S X(4260) DD1|S, DD1|S X(4140-60) D*D*| S(2++) X(3940) X(3915) DD*|S(1++) X(3872) X states :Close-below or Above their First S-wave M-M Threshold

  6. Unconventional States Decay properties very different from conventionally expected Conventional description: with parallel properties to However decay properties completely different Conventional description: or However aan order of magnitude higher than expected

  7. What are they ? Quark-Antiquark effective (screened) potential States ? Molecular Sates ? Tetraquarks (compact states) ? Quark-Antiquark + Molecular States ? Hybrid (Quark-Antiquark + Gluon) States ?

  8. Can we explicitly implement threshold effects within a quark-antiquark model framework?

  9. INDEX • Quenched versus Threshold-Unquenched Quark-Antiquark Ground State Energy from Latttice. • Quark Model Static Approach: Cornell Potential versus Energy Dependent Potential. Extended Quark Model. • Heavy Quarkonia Description. • Summary.

  10. Quenched vs Threshold-Unquenched Quark-Antiquark GSE G. S. Bali, Phis. Rep. 343,1 (2001) G. S. Bali et al., PRD 71, 11453 (2005)

  11. Extended Quark Model (EQM) : Energy Dependent Potential

  12. Heavy Quarkonia Description The lowest lying spectrum is described by the Cornell potential Calculated masses differing at most 30 MeV (60 MeV) for bottomonium (charmonium).

  13. Threshold Effects Additional states + Attraction results from the attraction produced by on the Cornell state

  14. Additional states + Attraction

  15. EQM : Non Overlapping Thresholds The threshold has no effect below and above

  16. Effective Thresholds (ET) When two or more thresholds are almost degenerate there are overlapping effects which can be implemented through ET.

  17. and are Interthreshold States

  18. EQM Spectrum

  19. X(4660) X(4350) X(4360) D*D*0|S X(4260) DD1|S, DD1|S D*D*| S(2++) X(4140-60) X(3915) X(3940) DD*|S(1++) X(3872)

  20. EQM Spectrum

  21. S. Godfrey, N. Isgur PRD 32, 189 (1985) BB1 B*B* (2++) BB* (1++) BB (0++)

  22. EQM Eigenstates results from the attraction produced by on the Cornell state DD*|S(1++) Eigenstates from different energy regions are not orthogonal Generator States

  23. results from the attraction produced by on the Generator state Generator Potential :

  24. Strong Decays The Generator-Threshold Approximation Assumption: The decay takes place, through light quark-antiquark creation, via the virtual generator-threshold state Cornell Threshold In general Generator Threshold

  25. Conventional Decay Mechanisms

  26. Summary • There is a puzzle concerning experimentally unexpected charmonium states. • There is a plausible universal explanation for this puzzle based on an Energy Dependent Potential (EDP) resulting from threshold effects. • The Extended Quark Model (EQM) corresponding to this EDP may allow for a general description of hadrons (mesons and baryons) once spin dependent and other relativistic corrections are implemented.

  27. Examples Mesons:

  28. Baryons: S. Capstick, N. Isgur PRD 34, 2809 (1986)

  29. Meson-baryon Thresholds:

  30. Generator - Threshold Approximation Consider a system of 1 confined channel (3q) in interaction with 1 free channel (meson-baryon). Hamiltonian Matrix: with

  31. The couple channel solutions correspond to the eigenvalues of : With a = 75 MeV all the anomalous masses can be reproduced within their experimental error bars.

  32. P. Gonzalez, J. Vijande, A. Valcarce , PRC 77, 065213 (2008)

  33. THE END

  34. Unquenched Lattice-QCD ab initio calculation A. Bazavov et al. (MILC) Rev Mod. Phys. 82, 1349 (2010)

  35. We expect the short range part of the wave function to be only changed by normalization:

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