hadron physics at rhic
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Hadron Physics at RHIC
Su Houng Lee 1. Few words on hadronic molecule candidates and QCD sum rules2. Few words on diquarks and heavy Multiquark States3. Exotics from Belle- Heavy Ion
S H Lee
2
Babar: DSJ(2317) 0+ Puzzle in Constituent Quark Model(2400)
1. D0 K+ (2358) threshold effect
2. Chiral partner of (0- 1-)
3. Tetraquark
X(3872) G<10 MeV , Y(4260), Z(4430) G<50 y’p Z(4051),Z(4248) cc1p Must contain cc ?
molecule ?
Recent Highlights in Hadron Physics – Heavy quark sector
D0 D* D11864 2007 2420
D0+D* D*+D* D+D1 D1+D*3872 4014 4284 4427
S H Lee
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1-- States from ISR
S H Lee
S H Lee 4
JPC Special feature
QSR tetraquark
QSR molecule Others
X(3872)G<2.3
1++ B(XJppp)/B(Xpp)=1B(Xy‘g)/
B(Xyg)=3
[AV][S] m=3.92(Nielsen ..)
DD* m=3.87 (Nielsen, ..)
QSR with G (Morita) , Mixture
with cc
Y 1–-
gISR Belle
4260,4360,4660BaBar
4260,4360
[V][S] q=s m=4.65
q=u,d m=4.49(Nielsen, et al)
Ds0Ds* m=4.42D0D* m=4.27DD1 m=4.19
(Nielsen et al )
Hybrid
Z+(4430)G<45
?,0- y’ p [PS][S] m=4.52
(Nielsen, et al)
D*D1 m=4.40(Nielsen, Lee et al )
Z+(4050,4250)
? c p D*D* m=4.15DD1=4.19(Nielsen, et al )
D*D*(4020)D1D(4285) threshold
effect
Newly observed states
,cq[AV] ,cq[V] ,cq[PS] ,cq[S] bTab5
Tab
Tab5
Ta ggggg CCCC
,cqD1 ,cqD* ,cqD ,cqD0 55 gggg i
M. Nielsen, F. Navarra, SHL: arXiv:0911.1958: Review paper
S H Lee 5
QCD sum rule results
22 /exp)(0 MssdsMJxJBT sum rule
contsms
sfs G
G
222 : Small M2 2MOPE : Large M2
m
M2
OPE Conv.
pole Dom.
Such Good Borel curve exists when
In principle QCD can not distinguish between diquark configuration and molecular configuration
but if the overlap is large, plateau and OPE convergence, pole dominance can learn which current has large overlap
...61 55 qqqqqqqqqCqqqCJ aadiquark gggg
2. Large overlap f
1. Resonance or pole exists
S H Lee 6
QCD sum rules X(3872): SHL, K. Morita, M. Nielsen (PRD08)
J=[s][V] Tetraquark current vs. J=DD* Molecular current
,cq[AV] ,cq[V] ,cq[PS] ,cq[S] bTab5
Tab
Tab5
Ta ggggg CCCC
,cqD1 ,cqD* ,cqD ,cqD0 55 gggg i
Small width <2 MeV
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Scalar tetraquark (Jaffe 76)
Search for H dibaryon Search for Q+ pentaquark
Previous Work on Multiquark hadrons - Light quark sector
L(1405) (Jido, Sekihara..)
N K S p+
S H Lee
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What are the systematics? What are these particles?
Where else should we look for?
S H Lee
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Some insights from for Multiquark configurations in a
schematic quark model(with S. Yasui )
ji
jiji
H ssmmC
,
.confining.Kinetic Mass
S H Lee
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Color spin interaction (De Rujula, Georgi, Glashow..)
color spin interaction:
jj
aj
aiji
jijj
aj
aijig
ss
mmCssH
,
q1 q2 q4
Diquark configurations vs. quark-antiquark configurations
Color Spin Favor
Q-Q 3bar 0 3bar -2
1 6 2/3
6 0 6 1
1 3bar -1/3
Color Spin Favor
Q-Qbar 1 0 1,8 -4
1 1,8 4/3
8 0 1,8 1/2
1 1,8 -1/6
q2
S H Lee
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MeV 4700 MeV, 1500 MeV, 500 MeV, 300 bcsdu mmmmm
Diquark correlation inside Baryons
u d u d
sL
s
ji
jiji
B ssmmC
,
.confining.Kinetic Mass
du
B
mmC
43conf.Kinetic Mass c L
su
B
du
B
mmC
mmC
S41conf.Kinetic Mass c
Example
Mass diff M –MN MS-ML MSc-MLc MSb-MLb
Formula 290 MeV 77 MeV 154 MeV 180 MeV
Experiment 290 MeV 75 MeV 170 MeV 192 MeV
S
S H Lee
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quark-antiquark in Meson
d u d u
p
Works very well with 3x CB = CM = 635 mu2
u d d ux 3 =
Mass diff M –Mp MK*-MK MD*-MD MB*-MB
Formula 635 MeV 381 MeV 127 MeV 41 MeV
Experiment 635 MeV 397 MeV 137 MeV 46 MeV
ji
jiji
M ssmmC
,
.confining.Kinetic Mass
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S=C=0 (ud) -AS=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 AC=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 14543A 2
u
B
mC
u d
A- A-
1/2+
s
MeV 487MeV '468A54Binding Q
u d
L=1
u d su
d
A- A59-
MeV 46823
)1670()1520(2 2*]2/1[
*]2/3[ L
LLIL
L2 contribution
- 500 MeV
in Five body quark model by Hiyama, Hosaka et al (06)
Q P K
Q+ (Jaffe Wilczek conf) in a naïve quark model
S H Lee
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Di-bayron (Conf 1) – (qq) (qq) (qq)
u d 0+
) Oka (M. repulsion Instanton MeV 29Binding H
u s
H di-baryon could be bound
unfortunately not found in so far
d s
u d
s
u d
s
H di-baryon
CFL Phase of color superconductivity ?
2SC Phase
su
B
u
B
mmC
mC
432
43
2
22 43
43
u
B
u
B
mC
mC
S H Lee
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Multiquark configuration:
Diquark attracation vs quark-antiquark
2121
1mm
ssCB
q3q1
q2
diquark picture: Yasui, Ko, Liu, Lee,.. (EJP08,EJP09)
Type of diquark and its q-q binding S=C=0 (ud) A S=-1, ms=5/3mu (us) 3/5 A (ds) 3/5 AC=1, mc=5mu (uc) 1/5 A (dc) 1/5 A (sc) 3/25 A
MeV 14543A 2
u
B
mC
3131
1mm
ssCM
BM CC 3
23 3 make mm
S H Lee
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Diquark picture for L (with D. Jido , K. Kim)
Magnetic moment: L = (ud)0 s
u d
sL
du
B
mmC
43conf.Kinetic Mass c L
22
propagator mpi
S H Lee
QCD sum rule with diquark field
222
41 FsmDismDL sudud
2
2961 , :parameters Gm
mp
sL
u
d
OPE
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Result:
(GeV) m
2296
1 Gm p
S H Lee
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Result- cont (GeV) m
2296
1 Gm p
Constituent diquark mass
MeV 410)( udm
MeV 451243mm (ud)
spin color todue Attraction
du udu
B mmmC
m (GeV)
0.2 -0.5
0.3 -0.2
0.4 -0.013
0.41 0
S H Lee
S H Lee 19
Recently observed states with hidden charm states
Most probably molecular state NOT tetraquark
jj
aj
aiji
jig ss
mmH
1q3q1
c c
q3
q1 c
c
q3q1
cc
q3q1
c c
p
p
p
D D* D1 D*X(3872) Z(4430)
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Where are the tetraquarks and multiquark configurations?
Dense matter?
S H Lee
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Tetra-quark - configurations
u d d u u dd u0+
boundnot BM CC0- 0-
Binding against decay = (Mass of 2 Mesons) – (Mass of Tetraquark)
22 43
43
u
B
u
B
mC
mC
22 43
43
u
M
u
M
mC
mC
u d c b u dc b0+
MeV -21.25T of Binding 0
cb
0- 0-
bc
B
u
B
mmC
mC
43
43
2 bu
M
cu
M
mmC
mmC
43
43
S H Lee
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Tetra-quark – hadronic weak decay modes
pp KKBD )( )bc(udT 000cb
1+ u d c c u dc c 0- 1-)cc(udT1cc
22 41
43
c
B
u
B
mC
mC
cu
M
cu
M
mmC
mmC
41
43
S H Lee
- Binding against decay = - 79.3 MeV
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Belle: PRL 98, 082001 (07)
e+ e- J/y + X(3904)
D D*
e+
e
c
c
SHL, S Yasui, W Liu, C Ko (08)
Can look for 1+ (Tcc)
Previous works on TccZ. Zouzou, B. Silverstre-Brac, C. Gilgnooux, J Richard (86), D. Janc, M. Rosina (04), Y. Cui,
S. L. Zhu (07)QCD sum rules: F Navarra, M. Nielsen, SHLee, PLB 649, 166 (2007) simple diquark: SHL, S. Yasui, W.Liu, C Ko EPJ C54, 259 (2008), SHL, S. Yasui: EPJ C (09)
c
c
S H Lee
X
(3904) Tcc (3800)
24
S=C=0 (ud) -AS=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 AC=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 14543A 2
u
B
mC
Di-bayron – general considerations
1 2
0+3 4
5 6
1 2
5
3 4
6
H di-baryon
B B
Conf-1
S H Lee
u d
0+u s
d s
H di-baryon
25
S=C=0 (ud) -AS=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 AC=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 14543A 2
u
B
mC
Di-bayron – general considerations
1 2 0+
3 4
5 6
1 2
5
3 4
6
di-baryon B B
Conf-2
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Di-baryon (Conf 2) – (qq) (qq) (qQ)
u d
0+
MeV 92Binding H c
u s
Hc di-baryon
u c
u d
u
u
c
s
Hc di-baryon P Xc
cu
B
su
B
u
B
mmC
mmC
mC
43
43
43
2
su
B
u
B
mmC
mC
43
43
2
LX
SL
pp
pp
Kpp
ppK
c
c
)(
)( (udusuc)H 0c
mc 132
S H Lee
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large number of c , b quark production
Vertex detector: weakly decaying exotics : FAIR 104 D0 /month
Larger source size: A. Ohnishi ..
New perspective of Hadron Physics from Heavy Ion Collision
S H Lee
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T
Color superconductivity
RHIC, LHC
J/ψ, χC
ΛC /D
Quark-gluon plasma
d
u
d
u
s
d
u
us
ducc
Nuclear matter
uu d
e
e
J/ψ
Exotics Factory
Tccp
p
Exotics Factory
S H Lee
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Started from Molecular workshop
12 people 9 institutions
ExHIC (collaboration)
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First project: Production rate
1. Mol=usual hadron > Exotic
2. Realistic measurement of exotics are possible
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Tcc/D > 0.34 x 10 -4 RHIC > 0.8 x 10 -4 LHC
Hc/D > 0.8 x 10 -4 Hc/Ds > 0.25 x 10 -3
LX
SL
pp
pp
Kpp
ppK
c
c
)(
)( (udusuc)H 0c
Production ratios for predicted Multiquarks
QcD 0.74 x 10 4
QcDs 0.23 x 10 3
Qc production at RHIC and LHC
Hc production at RHIC and LHC
Tcc production
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More ExHIC Physics
General considerations for molecular states
Production rates at Belle : Exotics from HIgh energy e+e- Collision
Pt dependence of Lc/D ratio ……
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3. Belle + Heavy Ion can provide new perspectives in the search
1. We are witnessing an exciting time in hadron physics : Categorizing excited states and understanding exotics Systematics ??
Summary of talk
S H Lee
2. Diquarks are unique features of QCD, Mutltiquark states will exits in Heavy sector, due to diquark structure Tcc (ud cc) Qbs (udusb), Hc(udusuc) real weak decay, small background in RHIC, LHC can be a very useful heavy exotic factory
If found, it will be the first flavor exotic ever, will tell us about QCD, q-q interaction and dense matter great step forward in QCD
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