1. Puzzles in Quarkonium Hadronic Transition with Two Pion Emission
XIth Quark Confinement and the Hadron Spectrum
Puzzles in Quarkonium Hadronic Transition with Two Pion Emission
F. Fernandez D.R. Entem, P.G. Ortega, J. Segovia
Nuclear Physics Group and IUFFyM
University of Salamanca

2. Outline Motivation Experimental scenario
The QCD Multipole Expansión Method
The constituent quark model
Hybrids: the Quark Confining String model
Charmonium and Bottomonium Results
Bottom molecules: Results
Summary

3. Motivation: Hadronic Transitions
are importante decay modes of heavy quarkonia.
- Light hadrons are converted from de gluons emitted by the quark Q and trhe antiquark in the transition.
- The typical momentum of the gluons is two low to justify perturbative calculations

4. Experimental scenario
(PRD )
Y(4040)
Y(4160)
Y(4415)
Y(4360)
Y(4660)

5. Experimental scenario
(PRD )
Y(4160)
Y(4360)
Y(4415)
Y(4040)
Y(4660)
Y(4260)

6. Experimental scenario
PRD
PRL
differs by two orders of magnitude!

7. The QCD Multipole Expansion Method
Analogous to the QED multipole expansion
Zero for color singlets
The interaction between two color singlet requires two gluon emission. Lowest multipoles E1E1 E1M1 E1E2…..
Two pion transition E1E1
Intermediate state after the emission of the first gluon and before the emission of the second hybrid

8. The QCD Multipole Expansion Method
Hadronic factor
Heavy quark factor
Hybrid model wf
Quark Model wf
C1 and C2 are constant fitted to the decays

9. The Constituent Quark Model

10. The constituent quark model

11. The constituent quark model
N-N interaction
F. Fernández, A. Valcarce, U. Straub, A. Faessler. J. Phys. G19, 2013 (1993)
A. Valcarce, A. Faessler, F. Fernández. Physics Letters B345, 367 (1995)
D.R. Entem, F. Fernández, A. Valcarce. Phys. Rev. C (2000)
B. Juliá-Diaz, J. Haidenbauer, A. Valcarce, and F. Fernández. Physical Review C 65, , (2002)
Baryon spectrum
H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 64, , (2001)
H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 63, (2001)
Meson spectrum.
J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)
J. Segovia, A. M. Yasser, D. R. Entem, F. Fernandez Phys. Rev D (2008)
.Reports
A. Valcarce, H. Garcilazo, F. Fernandez, P.Gonzalez Rep. Prog. Phys (2005)
J. Segovia, D. R. Entem, F. Fernandez, Int. Jour. Mod. Phys. E (2013)
Diapositiva 4.
SIMULTANEIDAD
This model has been able to describe the NN interaction (NN phase shifts and deuteron phenomenology), the triton binding energy, baryon spectroscopy and meson spectroscopy and decays.

12. Results for the 1- - sector
PRD (2008)

13. + The Quark Confining string model
Mesons are composed of a quark and an antiquark linked by a color electric gluon flux line.
The string and the quarks can rotate as a unit (ordinary mesons)
Vibrational modes provides new states beyond the charmonium picture: Hybrids +
Meson
Hybrid

14. Results Hybrids Ψ(4360) Ψ(4660) ϒ(10860) ??
JPC=1- - hybrid mesons masses in Mev

15. Results charm sector
Branching ratio x Γe+e- for the JPC=1- - charmonium states
Cross section at peak for the JPC=1- - charmonium states

16. Results charm sector
Y(4040)
Y(4160)
Y(4415)
Y(4360)
Y(4660)

17. Results bottom sector
Branching ratio x Γe+e- for the JPC=1- - bottomonium states
Cross section at peak for the JPC=1- - bottomonium states

18. First conclusion
The mechanism which explain the value of the cross section of the ψ(4360) and the ψ(4660) does not justify the anomalous behaviour of the ϒ(10860)

19. Two quark states can mix with two meson with the same quantum numbers
Molecules
Molecular state:
loosely bound state of a pair of mesons.
The dominant binding mechanism
should be pion exchange
Two quark states can mix with two meson with the same quantum numbers

20. Molecules Way molecules can enhace the decay width ? OZI forbidden
OZI alloved
Pictures from A. Ali

21. Coupled channels: BB

22. Coupling: Pair Creation Model

23. Coupled channels:

24. Molecules
The Molecule ϒ(10860)
Channels
Preliminar

25. Molecular decay
Preliminar

26. Conclusions

27. Conclusions