![Page 1: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/1.jpg)
1
Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark 3. Quarkonium
Arguments based on two point function can be generalized to higher point function
Hadron Physics with Heavy quarks
![Page 2: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/2.jpg)
2
QCD
Chiral sym-metry break-
ing
Confinement
Phenomenol-ogy
One heavy quark
Two heavy quark
Heavy quark
![Page 3: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/3.jpg)
3
1. Hadrons with one heavy quark
![Page 4: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/4.jpg)
4
Heavy quark propagator
mqqS
1)( where,...........)()()()( qSGqSqSqSG
Perturbative treatment are possible because
0for even qqm QCD
q
•
hh 2
121 Gm
![Page 5: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/5.jpg)
5
..),(
............
......Tr0,)(
2
1
0
222
kmn
kmn
GmqLp
dxdp
Gpmqp
dplhqhlq
Perturbative treatment are possible when
222 1),( QCDxmqxxmqL
q
p
qp
which breaks down at x=0 due to light quark propaga-tor
One Heavy quark and one Light antiquark
![Page 6: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/6.jpg)
6
n
Gh
mq
mqmqGG
qShqhq
22..
........
0,)(
Contribution from light quark condensate
222 QCDqm
q
qp
q
converges for large
![Page 7: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/7.jpg)
7
.... 0,0, 2255
h
hiqx
mqm
hxhihxhidxe
Chiral order parameters
D(1870) D(2400)
qqm
qicxciqxdqcxcqxdc
mc2 )0(),()0(),( 5544
),(),( 0
s
msmsds DD
),( 0Dms ),( Dms
![Page 8: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/8.jpg)
8
• Direct observation of chiral symmetry restoration in medium
D(1870) 0-
D(2400) Belle
G > 200 MeV
0+
D 0qq
..0
)3.0 to2.0(1mn
qqqq
Hayashigaki (00)
Weise, Morath, Lee (99)
Generalization to other channels: Kampfer et a. (10), Mishra et.al., Z. Wang
• QCD sum rule approach: Hayashigaki, Weise, Morath, Lee
![Page 9: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/9.jpg)
9
..12
1........
0,)(
0
022.. G
GG
G
GGGG
kmq
mqmqGG
qShqhq
n
Gh
but no convergence model approach
Heavy quark symmetry
ii
ki
ki
0
05
0
05 12
112
1
ii ik
ik
5
0
05
0
0 12
1112
11
D D*
D0 D0
near mass shell kmvq
![Page 10: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/10.jpg)
10
Qq quark system in vacuum and medium: Chiral symme-try
D(1870)
0-
D(2400)2318 ?
0+
D*(2007)
1-
D1(2420)
1+
Ds(1968)
Ds(2317)
D*(2112)
Ds1(2460)
530448 ?
413 349348
0- 0+ 1- 1+
137 144
xxx? 396xxx 345
B(5279)
B(57xx)?
B*(5325)
B1(5721)
Bs(5366)
Bs(58xx)?
Bs*(5415)
Bs1(5830)
4646
![Page 11: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/11.jpg)
11
2. Multiquarks with one heavy quark
1. Some introduction with diquarks
2. Possible multiquark states
![Page 12: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/12.jpg)
12
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 ’ Z(4051),Z(4248) cc1 Zb(10610), Zb(10650) U
molecule ?
D0 D* D11864 2007 2420
D0+D* D*+D* D+D1 D1+D*3872 4014 4284 4427
B0 B* B15279.5 5325.1 5721
B0+B* B*+B* B+B1 B1+B*10604.6 10650.2 11000.5 11046.1
Belle
Recent highlights on Multi-quark hadrons –heavy quark sector
![Page 13: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/13.jpg)
13
Normal meson
Tetraquark Molecule
Geometri-cal config-
uration
Flavor quantum number
ud ud ud
u uudu
d
uu
ud
Navara, Nielsen, SHLee Phys Rept (11)
Normal meson, Tetraquark and Molecule
![Page 14: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/14.jpg)
14
Color spin interaction (De Rujula, Georgi, Glashow..)
q1 q2 q4
Diquark vs. quark-antiquark configurations
Color Spin Flavor D
Q-Q 3bar 0 3bar -2
1 6 2/3
6 0 6 1
1 3bar -1/3
Color Spin Flavor D
Q-Qbar 1 0 1,8 -4
1 1,8 4/3
8 0 1,8 1/2
1 1,8 -1/6
q2
Djj
aj
aiji ss
Diquark attracation vs quark-antiquark
2121
1mm
ssCB
q3q1
q2
3131
1mm
ssCM
BM CC 3
![Page 15: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/15.jpg)
15
Recently observed states with hidden heavy quark Yasui
Most probably molecular state NOT tetraquark
jj
aj
aiji
jig ss
mmH
1q3q1
c c
q3
q1 c
c
q3q1
cc
q3q1
c c
D D* D1
D*X(3872)
Z(4430)
![Page 16: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/16.jpg)
16
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
Multiquark configuration –Yasui, Ko, Liu, Lee (08,09)
q3
![Page 17: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/17.jpg)
17
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
- Binding against decay = - 79.3 MeV
• A picture of c (K.Kim, D. Jido, SHL)
u d c
43
2u
B
mC
Tetra-quark
• A Tetraquark
![Page 18: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/18.jpg)
18
u d 0+
) Oka (M. repulsion Instanton MeV 29Binding H
u s
d s
u d
s
u d
s
H di-baryon
su
B
u
B
mmC
mC
432
43
2
22 43
43
u
B
u
B
mC
mC
Di-baryon (conf 1) – (qq)(qq)(qq)
![Page 19: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/19.jpg)
19
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
X
Kpp
ppK
c
c
)(
)( (udusuc)H 0c
mc 132
Di-baryon (conf 2) – (qq)(qq)(qQ)
![Page 20: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/20.jpg)
20
3. Quarkonium
![Page 21: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/21.jpg)
21
..),(
............
......Tr0,)(
2
1
0
222
kmn
kmn
GmqLp
dxdp
Gqpmp
dplhqhlq
Perturbative treatment are possible when 2222 412),( QCDqmqxmqL
2q
System with heavy quark anti-quark
p
qp
222 4 QCDqm
![Page 22: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/22.jpg)
22
q2 process expansion parameter example
0 Photo-production of open charm
m2J/
> 0 Bound state properties
Formalism by Peskin (79)
J/ dissociation: NLOJ/ mass shift: LO
-Q2 < 0 QCD sum rules for heavy quarks
Predicted mhc <mJ/ before experiment
Perturbative treatment are possible when 222 4 QCDqm
2
2
4mQCD
22
2
4 QmQCD
2/
2
2
4 J
QCD
mm
0/
2
2
J
QCD
mm
![Page 23: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/23.jpg)
23
n
nQCDn
nnn
FGqxqm
xqFdxq
..)12(4
),(...)(2222
21
0
2/
2Jmq
Subtlety for bound states Applequist, Dine, Muzinich (78), Peskin (79), Basis for pNRQCD ........
)1( ))()((
)(2244
3242 O
mgmgmgmgmgg
c
c
c
c=
42 1 ,1 , mgt
mga
pm
Separation scale
![Page 24: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/24.jpg)
24
qc
c
OPE for bound state: m infinity
)( || ),( 16/ 24220 mgOkmgOgNm c
Mass shift: QCD 2nd order Stark Effect : Peskin 79 e > L qcd
DMedium
220
6
2/3
0
20
2/1
)1(9128 E
maxxxdxamJ
Attractive for ground state
Separation scale
For small T modify matrix el-ement
![Page 25: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/25.jpg)
25
Summary of analysis of Stark effect+ QCD sum rule (Morita-Lee)
• Due to the sudden change of condensate near Tc
</ B2
>T
</ E2 >T
G0
G2
• Abrupt changes for mass and width near Tc
(GeV)/JmD
![Page 26: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/26.jpg)
26
NN
NN
N
mxdxxGmG
mGm
0.9 ),(2
MeV 750 N|(Chiral)T|N ,N|Op|N2
Op Op
22
000
D
• Linear density approximation
• Condensate at finite density
n.m.0
000 0.061-1
98
GmGG N
Tc
2
0
2
5
2 0.7 ..
GGGmn
• At r = 5 x r n.m.
167.0 2.0
167.0 2.0
2
2
D
D
s
s
B
E
9.02
sG
Operators in at finite density and hadronic phase
![Page 27: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/27.jpg)
27
• QCD sum rule for Quarkonia at nuclear matter: Klingl, Kim, SHL,Weise (99), Hayashigai (99)
• Contribution from complete dim 6 operators: Kim SHL (01)
mass shift at nuclear matter: -7 MeV (dim 4) -4 MeV (dim4+ dim6)
• QCD sum rule + MEM at finite temperature: Gubler, Oka, Morita
QCD sum rule for Quarkonia in medium
• looking forward to further work
![Page 28: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/28.jpg)
28
W(S-T)=exp(-s ST)
Time
Space
Space
SW(S-T) = 1- </ E2> (ST)2 +..
W(S-S) = 1- </ B2> (SS)2 +..
OPE for Wilson lines: Shifman NPB73 (80)
<E2>, <B2> vs confinement potential
• Local vs non local behavior
W(S-S)= exp(-s SS)
T
• Behavior at T>Tc
W(SS)= exp(-s SS)
W(ST)= exp(- g(1/S)T)
</ B2
>T
</ E2 >T
![Page 29: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/29.jpg)
29
SU(3) Gauge Boyd (1996)
2+1 HotQCD (2012)
Behavior near Tc
![Page 30: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/30.jpg)
30
rrrrV s s )(
34)(
)(GeV 2s
small s
r
b decdec /)0()( TTTT ss
dec/TT
T/Tc
sString Tension: QCD order pa-rameter
Early work on J/y at finite T (Hashimoto, Miyamura, Hirose, Kanki)
![Page 31: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/31.jpg)
31
Chiral sym-metry break-
ing
Confinement
JPARCOne heavy
quark
Two heavy quark
Heavy quark
Analytic approaches
Lattice calculation
![Page 32: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/32.jpg)
32
1. Hadrons with one heavy quark (D, …) in medium can give new insight into chiral symmetry restoration
a) nuclear target ? Heavy ion at JPAR b) Lattice calculation
Summary
2. Molecules are interesting. Flavor exotic multiquark states will exist in the heavy sector
a) From B decay b) From JPARC
3. Quarkonium in medium will give new insights into confinement prob-lem
![Page 33: Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark](https://reader035.vdocuments.pub/reader035/viewer/2022081520/568161e3550346895dd1fc24/html5/thumbnails/33.jpg)
33
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
u d
L=1
u d su
d
A- A59-
MeV 46823
)1670()1520(2 2*]2/1[
*]2/3[
I
LL2 contribution
- 500 MeV
in Five body quark model by Hiyama, Hosaka et al (06)
+
P K
+ (Jaffe Wilczek) in a naïve quark model
Multiquark configuration –Yasui, Ko, Liu, Lee (08,09)