1. HADRON 2015 XVI International Conference on Hadron Spectroscopy
Newport News VA, September 2015

2. P. González Universitat de València and IFIC (SPAIN)
CHARMONIUM DESCRIPTION
FROM A
GENERALIZED SCREENED POTENTIAL MODEL
P. González Universitat de València and IFIC (SPAIN)

3. 13 New Neutral Charmonium States since PDG 2000
X (Unconventional) States
K. A.Olive et al. (PDG) Ch. Phys. C86, (2014)

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

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

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

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

8. What is the effect of Meson-Meson Thresholds ?
Can we implement threshold effects within a quark-antiquark model framework?
Quark-Antiquark effective potential description
implicitly incorporating molecular components.
P. G. : J. Phys. G 41, (2014), Phys. Rev. D92, (2015)

9. INDEX
Quenched versus Threshold-Unquenched Quark-Antiquark
Static Energy from Lattice. Static Potential.
ii) Generalized Screened Potential Model (GSPM).
iii) Heavy Quarkonia Spectral Description from the GSPM.
iv) Summary.

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

11. Generalized Screened Potential Model (GSPM)

12. Cornell potential modulated by thresholds

13. Possible Shortcomings
Non relativistic potential (effective).
No spin dependent terms in the Cornell potential.
Only screening from meson-meson channels.
No thresholds widths.
No accumulative effect from degenerate thresholds.
Applicability: non degenerate isolated thresholds

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

15. Charmonium
J++ Thresholds

16. GSPM J++ Spectrum

17. X(4350)
X( )
C(4017)
X(3915)
X(3872)

18. Threshold Effect

19. Attraction + Additional States
results from the interaction between and the Cornell state
Additionally a new state appears.

20. Additional States

22. X(4350)
X( )
C(4017)
X(3915)
X(3872)

23. Electromagnetic Decays

27. X(4260) X(3872) X(4140-60) X(4350) X(4360) X(4660) X(3915) C(4017) DD1

28. 1-- Thresholds
Overlapping Thresholds

29. Bottomonium S. Godfrey, N. Isgur PRD 32, 189 (1985) G(11020) BB1

30. J++ States
P. González, J. Phys. G 41 (2014)

31. B*B* (2++)
BB* (1++)
BB (0++)

32. Summary
There is a spectral puzzle concerning experimentally unconventional charmonium states.
There is a plausible explanation for this puzzle based on an Energy Dependent Quark-antiQuark Potential from threshold effects.
The Generalized Screened Potential Model (GSPM) based on this potential allows for a reasonable spectral description of J++ charmonium.
New higher energy states in charmonium and bottomonium are predicted.

33. THE END