1. Nuclear Physics Group and IUFFyM University of Salamanca
Charm spectroscopy beyond the constituent quark model
Charm spectroscopy beyond
the constituent quark model
Francisco Fernandez
Nuclear Physics Group and IUFFyM
University of Salamanca

2. Do we need to go beyond the constituent quark model
Charm spectroscopy beyond the constituent quark model
Do we need to go beyond the constituent quark model
to describe the open and hidden charm spectroscopy?
- Constituent quark model
- Beyond the constituent quark model
- 1– hidden charm sector
- Dsj
region

3. As a consecuence light constituent quarks exchange Goldstone bosons
The constituent quark model
Basic ingredients
Chiral symmetry is spontaneously broken at some momentum scale provinding a constituent quark mass M(q2) for the ligth quarks
As a consecuence light constituent quarks exchange Goldstone bosons
Both light and heavy quarks interacts besides by gluon exchange
Finally both type of quarks are confined by a two body linear potential screened at large distancies due to pair creation
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.

4. J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)
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.
L.A. Blanco, F. Fernández, A. Valcarce. Phys. Rev. C59, 428 (1999)
J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)
J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)
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.

5. The constituent quark model
Light I=1

6. The constituent quark model
Bottomonium

7. The constituent quark model

8. The constituent quark model

9. Molecules and tetraquarks
Beyond the constituent quark model
Molecules and tetraquarks
Why four quarks configuration?
L=1  qq
Jπ=0+,1+
P( s )=-1 − →
qqqq
L=0
P(qq)=+1

10. The 1-- sector
The 1-- sector

11. The 1-- sector
Strong widths 3P0 model
Leptonic width

12. Dsj(2860)
Dsj(2860)

13. No structures seen in D*K
Dsj(2860)
New States - DsJ(2860)+
Combined modes bkgd subtracted
Ds2573)+
D0 K-p+
D0 K-p+ p0
D+ K-p+p+
DsJ(2860)+ →
No structures seen in D*K
BaBar data PRL 97 (2006)

14. Dsj(2860) → →

15. ← Dsj(2860) multiquark 2P state Γ[DsJ(2860)0+ → Ds*γ] = 13.7 keV
Γ[DsJ(2860)0+ → Ds*γ] = 1.8 eV
multiquark
2P state

16. X(3872) X(3940) Y(3940) Z(3930) X(4160)

17. D*reconstructed D*tag
X(4160)
e+e−  J/ D*D*
M=( 15)MeV/c2
 =( 21)MeV
+25
−20
+111
−61
5.5 
X(4160)
D*reconstructed D*tag
M=4166 MeV/c2
=122.9 MeV
Our results
((D*D*) =52.3 MeV)

18. X(3872) X(3940) Y(3940) Z(3930)

19. Z(3940) Our results Observed in 2005 by Belle Collab. produced in
PRL 96 (06)
Helicity angle distribution favours J=2
Our results
M= MeV. =49.1 MeV.

20. X(3872) X(3940) Y(3940)

21. Tetraquarks? Molecules?
X(3872) X(3940) Y(3940)
X(3940)
Y(3940)
X(3872)
Candidate
No candidate
No candidate
Tetraquarks? Molecules?

22. X(3872) X(3940) Y(3940) ► ►
No tensor forces ►

23. SUMMARY ► Y(4360 ) and Y(4660) are 1-- states
► Z(3960) and X(4160) can be identified as the and the respectively
► Dsj(2860) has a sizeable tetraquark component
► We need to go beyond the constituent quark model to describe the rest of states