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Charmonium states in the string breaking region
CHARMONIUM STATES IN THE STRING BREAKING REGION
Francisco FernándezNuclear Physics Group and IUFFyM
University of Salamanca
XIII International Conference on Hadron Spectroscopy
November 29 - December 4, 2009Florida State University
MOTIVATIONS
The breaking of the color electric string between two static sources is a phenomenon predicted by QCD
String breaking has been observed in lattice QCD simulation
Interesting issues
Information about quark confinement
Chiral symmetry restoration
To study the properties of the very high excited states in charmonium in a model which reproduces the phenomenology
Charmonium states in the string breaking region
Aim
Charmonium states in the string breaking region
Confinement
A poor´s man model
( ) (1 )rcV r a e
r
Lattice
(K.D. Born PRD40 1653)
Other choices are posible (see last talk of the sesion )
Are there enough experimental data in this region?
Excited states in the light sector
Cristal Barrel Collaboration
XYZX(3840)
X(3915)
X(3940)
Y(3940)
X(4160)
Y(4208)
Y(4260)
Y(4360)
Y(4660)
.
.
Charmonium
e+e–→Λc+Λc
– γISR
Phys.Rev.Lett.101,172001(2008)
Charmonium states in the string breaking region
Van Beveren & Rupp
Basic ingredientsChiral symmetry is spontaneously broken at some momentum scale provinding a constituent quark mass M(q2) for the ligth quarks
The constituent quark model
As a consequence 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
The constituent quark model
02 2
020
lns
qq reduced mass
The quark gluon coupling constant scales with the
reduced mass as
J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)
We can use the same parametrization for the light and heavy sector
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. C62 034002
(2000)– B. Juliá-Diaz, J. Haidenbauer, A. Valcarce, and F. Fernández.
Physical Review C 65, 034001, (2002)
• Baryon spectrum– H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 64, 058201,
(2001)– H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 63, 035207
(2001)
• Meson spectrum.– J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005)– J. Segovia A.M. Yasser D. R. Entem F. Fernandez PRD 78 114033
The constituent quark model
0
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
E (
MeV
)
0 -+ 2 -+ (1 --) 3 -- b 1(1 + -) a 2(2 + +) a 1(1 + +)
Light I=1
The constituent quark model
9 2 0 0
9 4 0 0
9 6 0 0
9 8 0 0
1 0 0 0 0
1 0 2 0 0
1 0 4 0 0
1 0 6 0 0
1 0 8 0 0
11 0 0 0
11 2 0 0E
(M
eV)
b(0 -+ ) (1 --) b 0(0 + + ) b 1(1 + +) b 2(2 + + ) (2 --)
Bottomonium
The constituent quark model
The constituent quark model
The 1-- sector
The 1-- sector
The 1-- sector
► Y(4008 ) and Y(4260) are not 1- - states
► Y(4360 ) and Y(4660) appears as 1- - states
► Ψ(4415) → 3D state
Leptonic width
The 1-- sector
Strong widths (3P0 model)
The 1-- sector
X(3872) X(3915) X(3940) Z(3930) X(4160)
e e J / (cc)
X(3872)
DD* molecule coupled to
X(3940)
cc
X(3872) X(3915) X(3940) Z(3930) X(4160)
See Entem’s talk
X(3872) X(3915) X(3940) Z(3930) X(4160)
X(3872) X(3915) X(3940) Z(3930) X(4160)
X(3872) X(3915) X(3940) Z(3930) X(4160)
e+e− J/ D*D*
M=(4156 15)MeV/c2
=(139 21)MeV
+25−20
+111 −61
5.5 X(4160)
D*reconstructed D*tag
X(4160)
M=4166 MeV/c2
=122.9 MeV
Our results
((D*D*) =52.3 MeV)
2 (2 )c
X(3872) X(3915) X(3940) Z(3930) X(4160)
Z(3930)
PRL 96 (06) 082003
• Observed in 2005 by Belle Collab.• produced in
Helicity angle distribution favours J=2
( (3930)) .18 0.05 0 ..03B Z DD keV
3929 5 2 .
29.9 10 2 .
M MeV
MeV
DD
Our results 2 (2 )c
M=3968 MeV. =49.1 MeV.
( (3930)) 0.15 .B Z DD keV
Van Beveren & Rupp analysis
Charmonium states in the string breaking region
Charmonium states in the string breaking region
Leptonic decays Strong decays
S-wave
D-wave
Charmonium states in the string breaking region
Charmonium states in the string breaking region
END
THANKS