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Heavy quark system in vacuum and in medium. Su Houng Lee In collaboration with Kenji Morita Also, thanks to group members: Present: T. Song, K.I. Kim, W.S. Park, H. Park, K. Jeong Former: K. Ohnishi, S. Yasui, Y. Song. Heavy Exotics - PowerPoint PPT Presentation
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1
Heavy quark system in vacuum and in medium
Su Houng Lee In collaboration with Kenji Morita
Also, thanks to group members:
Present: T. Song, K.I. Kim, W.S. Park, H. Park, K. Jeong
Former: K. Ohnishi, S. Yasui, Y. Song
S H Lee 2
Hadronic Physics at B-factory, LEPS and J-PARC
B-factory
Heavy quark physics
Heavy Exotics
LEPS:
Chiral, Exotics
J-PARC
D, anti-p, nuclear matter
Heavy Exotics
qq, Qq in nuclear matter Chiral symmetry breaking
QQ in nuclear matter confinement
S H Lee 3
Some perspectives on sQGP and
relation to deconfinement
K.Morita, SHL: PRL 100, 022301 (08)
K.Morita, SHL: PRC 77, 064904 (08)
SHL, K. Morita: PRD 79, 011501 (09)
Y.Song, SHL, K.Morita: PRC 79, 014907 (09)
S H Lee 4
QCD Phase transition: Lattice data on ( , p)
Rescaled pressure (Karsch 01) Karsch hep-lat/0106019
Lattice result for purge gauge (Boyd et al 96)
p/T4
/T4
Sudden increase in
Slow increase in p
Latest Lattice result (Bazavov et al 09)
sQGP
S H Lee 5
Two gluon operators (quenched case): M2 M0
2
8
9
4ST G
gGGT
pgpguuT 34
1
4
1
02 M4
1M
4
1 gguuT
• Operators
• Thermodynamics
• Energy momentum Tensor
Twist-2 Gluon Gluon condensate
pGG
TspBE
3 8
11M
3
2 M
0
2
T
20
T
222
sQGP
S H Lee 6
BTp
BT
QGP
QGP
4
g
4g
d
d 3
400 MeV 189)0()(4
1 MTMB c
EOS in terms of M0 M2Bag model EOS in QGP phase
02
02
M4
1M
4
1
M4
1M
4
3
p
Dominated by non perturbative change at Tc : SHL, PRD40,2484 (89)
Effects of dynamical quarks on M0
GeV4
T
2G
M0, M2 and Bag model EOS
8
11M
0
2
T
20
GG
S H Lee 7
02
T
2
02T
2
M9
2 M
4
3
M9
2 M
4
3
TB
TE
s
s
Relation to Electric and Magnetic condensate
Relation to deconfinement
< E2 >T
< B2 >T =0
W(S-T)
W(S-S)
Time
Space
Space
L
L
OPE 1- </ E2> (ST)2 +…
OPE 1- </ B2> (SS)2 +…
exp(- V(T))
Using s from Kaczmarek et al (prd04)
Deconfinement involves both perturbative (M2) and Non perturbative (M0) change
M0, M2 E2, B2 confinement
S H Lee 8
NN
NN
N
mxdxxGm
mm
0.9 ),(2 M
MeV 750 N|(Chiral)T|N M ,N|Op|N2
Op Op
22
000
• Linear density approximation
• Condensate at finite density
n.m.0
22 0.061-1
GG
Tc5
Tc
2
0
2
5
2
0
0.7
..
..
mn
mn
GGG• At = 5 x n.m.
167.0 2.0
167.0 2.0
2
2
s
s
B
E
M0, M2 in nuclear matter
S H Lee 9
QCD vacuum 40
2
0
2
0
2 GeV 35.022 EBG
Nuclear medium: 20% deconfinement
0Medium
2 M11
8 G
20Medium
2
20Medium
2
M4
3M
9
2
M4
3M
9
2
s
s
B
E
S H Lee 10
Approaches to Heavy quark system in medium
OPE, QCD Stark Effect, and
QCD sum rules
S H Lee 11
)0(),()( ccxccdxeq iqx
Heavy quark correlation function (q2)
..)12(4
),(...)(
2222
21
0
n
n Gqxqm
xqFdxq
• OPE makes sense when 2
vacuum
22 G 4 QCDqm
Definition
Operator product expansion (OPE)
qc
c
nG
2
medium
22 G 4 baTqm QCD
• Even in medium as long as
S H Lee 12
2q
nn
n Gm
Cq
2
2
4)0(
222 2 4 QCDmqm
q2=0 : photo production of open charm
q2=m2J/ : OPE for bound state (Peskin 79)
c
c
nG
222 4 QCDQm
-q2 >0 : QCD sum rules for heavy quarks
22 4 QCDm
2nd order Stark Effect
NLO width (Song, Lee 05)
Applicable cases
S H Lee 13
qc
c
OPE for bound state: m infinity
)( || ),( 16/ 24220 mgOkmgOgNm c
QCD 2nd order Stark Effect : > qcd
Medium
220
6
2/3
0
20
2/
1
)1(9
128E
maxx
xdx
amJ
Attractive for ground state
)1( ))()((
)(2244
3242 O
mgmgmg
mgmgg
c
c
c
c
S H Lee 14
2nd order Stark effect from pNRQCD
LO Singlet potential from pNRQCD : Brambilla et al.
S O
Derivation
1/r > Binding > QCD,
• Take expectation value
• Large Nc limit
• Static condensate
• Energy
•
S H Lee 15
2q
nn
n Gm
Cq
2
2
4)0(
222 2 4 QCDmqm
q2=0 : photo production of open charm
q2=m2J/ : OPE for bound state (Peskin 79)
c
c
nG
222 4 QCDQm
-q2 >0 : QCD sum rules for heavy quarks
22 4 QCDm
Constraint on (m,
Applicable cases
S H Lee 16
n
n
n Qs
sdsJQJ
dQ
dM
)(
)()0(),(
22
n
J
J
JJ
n
n
m
m
f
mmm
M
M
2'
2/
/
2/
2'2
/1
Q2=-q2>0, QCD sum rules for Heavy quark system
OPE
..
4!
)!4(1 22
2
c
nnm
G
n
naM
Phenomenological side
..
12
'
2/
/2/
n
JJn
J
n m
mcf
mM
s
J/
’
n
n
M
M 12with G
02 G
sum rule at T=0 : can take any Q2 >=0, 2
vacuum
22 G 4 QCDQm
S H Lee 17
Matching Mn-1/Mn from Phen to OPE
Obtain constraint for mJ/ and
OPE
.......................
4!
)!4(1 22
2
c
nnm
G
n
naM
Phenomenological side
222/
)(
sms
sfs
J
s
J/
’
<G2>+c<G2>
nn Qs
sdsM
)(
)(2
n
n
M
M 1
<G2
><G2>
sum rule in mediumMedium0
22 G 4 GQm
S H Lee 18
• QCD sum rule constraint
Mass and width of J/ in nuclear Matter (Morita, Lee 08)
mb 2 with
MeV 3.1
/
//
NJ
NrelNJNJ v
/
2
2
/
MeV 2.3
J
NJN
NrelN
r
r
v
c
c
c
S H Lee 19
Quantum numbers
QCD 2nd Stark eff.
Potential model
QCD sum rules
Effects of DD loop
c0-+ –8 MeV –5 MeV
(Klingl, SHL ,Weise,
Morita)
No effect
J/ 1-- –8 MeV(Peskin, Luke)
-10 MeV(Brodsky et al).
–7 MeV(Klingl,
SHL ,Weise, Morita)
<2 MeV(SHL, Ko)
c0,1,2++ -20 MeV -15 MeV
(Morita, Lee)
No effect on c1
(3686)
1-- -100 MeV < 30 MeV
(3770)
1-- -140 MeV < 30 MeV
Other approaches for mass shift in nuclear matter
S H Lee 20
Anti proton
4 to 6 GeV/ck
Heavy nuclei
3 2
11.2
0.17 5fm
fm fm
e
e
Observation of m through p-A reaction
Expected luminosity at GSI 2x 1032cm-2s-1
Can be done at J-PARC
S H Lee 21
Some perspectives on
Diquarks and
heavy exotics
F.Navara, M. Nielsen, SHL: PLB 649, 166 (07)
SHL, S.Yasui, W.Liu, CMKo: EPJC 54, 259 (08)
SHL, M. Nielsen et al: PLB 661, 28 (08)
SHL, K.Morita, M.Nielsen: PRD 78, 076001 (08), NPA 815,29 (09)
SHL, M.Nielsen, U. Wiedner: JKPS 55,424(09)
SHL, S. Yasui: EPJC (09) in press
S H Lee 22
JPC Special feature
QSR tetraquark
QSR molecule Others
X(3872) 1++ B(XJ)/B(X)=1
[AV][S] m=3.92(Nielsen ..)
DD* m=3.87 (Nielsen, ..)
QSR with (Morita) ,
Mixture with cc
Y 1–-
ISR
Belle 4260,4360,4660
BaBar 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) ?,0- ’ [PS][S] m=4.52
(Nielsen, et al)
D*D1 m=4.40(Nielsen, Lee et al )
Z+(4050,4250)
? 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 CCCC
,cqD1 ,cqD* ,cqD ,cqD0 55 i
S H Lee 23
QCD sum rule results on X(3872), Z(4430)
In principle QCD can not distinguish between diquark configuration and molecular configuration
However, seems to favor molecular current for all states
S H Lee 24
Tetraquarks: Jaffe
color spin interaction: light scalar nonet
jj ji
aj
aijiH mm
ssC1 q3q1
q2 q4
diquark picture: Yasui, Lee,.. (EJP08,EJP09)
• Heavy Dibaryon Hc: (ud) (us) (uc) stable against (ud) u + (us) c
• Heavy Tetraquark with spin 0 or spin 1
S H Lee 25
color spin interaction: light scalar nonet
jj ji
aj
aijiH mm
ssC1 q3q1
q2 q4
Two heavy anti-quarks: explicitly exotic
Heavy and explicitly exotic tetraquarks
S H Lee 26
Belle: PRL 98, 082001 (07)
e+ e- J/ + X(3904)
D D*
Tcc (3800)
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) in press
c
c
S H Lee 27
1. QCD phase transition is characterized by Perturbative M2 and Non perturbative M0 change 20% effect at Nuclear matter
3. More work on X,Y, Z are needed.
2. Heavy quark system can probe these changes and study confinement physics FAIR, J-PARC
Summary
4. Explicitly Exotic heavy particles: Hc, Tcc, … FAIR, J-PARC
D, anti-proton etc..
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