theoretical aspects of exotic hadrons
DESCRIPTION
Theoretical aspects of exotic hadrons. Su Houng Lee 1. Few words on hadronic molecule candidates 2. Few words on diquarks and heavy Multiquark States 3. Summary of disucssions. Recent Highlights in Hadron Physics – Heavy quark sector. Babar: D SJ (2317) 0+ - PowerPoint PPT PresentationTRANSCRIPT
1
Theoretical aspects of exotic hadrons
Su Houng Lee
1. Few words on hadronic molecule candidates
2. Few words on diquarks and heavy Multiquark States
3. Summary of disucssions
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) , Y(4260),
Z(4430) ’
Z(4051),Z(4248) c1
Must contain cc ?
molecule ?
Recent Highlights in Hadron Physics – Heavy quark sector
D0 D* D1
1864 2007 2420
D0+D* D*+D* D+D1 D1+D*
3871 4014 4284 4427
3
Scalar tetraquark (Jaffe 76)
Search for H dibaryon Search for + pentaquark
Previous Work on Multiquark hadrons - Light quark sector
(1405) (Jido, Sekihara..)
N K +
4
New perspectives on hadron physics from RHIC
particle H f0 a0 Ds0 X(3872) (1405)
correlation K+ K- D0 K+ D0 D0* P K-
large number of c , b quark production
Vertex detector: weakly decaying exotics
Larger source size: A. Ohnishi ..
5
Some insights from for Multiquark configurations in a
schematic quark model
ji
jiji
H ssmm
C
,
.confining.Kinetic Mass
6
Color spin interaction
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
Takeuchi
7
MeV 4700 MeV, 1500 MeV, 500 MeV, 300 bcsdu mmmmm
Diquark inside Baryons
u d u d
s
s
ji
jiji
B ssmm
C
,
.confining.Kinetic Mass
du
B
mm
C
4
3conf.Kinetic Mass c
su
B
du
B
mm
C
mm
C
4
1conf.Kinetic Mass c
Example
Mass diff M –MN M-M Mc-Mc Mb-Mb
Formula 290 MeV 77 MeV 154 MeV 180 MeV
Experiment 290 MeV 75 MeV 170 MeV 192 MeV
8
quark antiquark in Meson
d u d u
Works very well with 3x CB = CM = 635 mu2
u d d ux 3 =
Mass diff M –M 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 ssmm
C
,
.confining.Kinetic Mass
9
S=C=0 (ud) -A
S=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 A
C=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 1454
3A
2
u
B
m
C
u d
A- A-
1/2+
s
MeV 480MeV 366A5
4Binding
u d
L=1
u d s
u
d
A- A5
9-
MeV 15.36623
)1405()1520(2 2*]2/1[
*]2/3[
I
LL2 contribution
- 500 MeV
in Full quark model by Hiyama, Hosaka et al
+ 1540 can not be a pentaquark state, if it exists ?
P K
+ in a naïve quark model
10
S=C=0 (ud) -A
S=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 A
C=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 1454
3A
2
u
B
m
C
u d
A- A5
3-
1/2+
d
MeV 254A4
7 w.r.t.Binding )1405(
s d u d u
s
d
A20
7- 3A-
1405 can not be a pentaquark state, ?
can (1405) be a 5 quark state
11
Di-bayron (Conf 1) – (qq) (qq) (qq)
u d
0+
repulsionInstanton 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
mm
C
m
C
4
32
4
32
22 4
3
4
3
u
B
u
B
m
C
m
C
12
Stable Multiquark configurations
in a schematic diquark model
ji
jiji
H ssmm
C
,
.confining.Kinetic Mass
13
Multiquark configuration: Yasui, Ko, Lee (EJP08,EJP09)
Diquark attracation vs quark-antiquark
2121
1
mmssCB
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 A
C=1, mc=5mu (uc) 1/5 A (dc) 1/5 A (sc) 3/25 A
MeV 1454
3A
2
u
B
m
C
3131
1
mmssCM
BM CC 3
23 3 make mm
14
Diquark picture for , (with D. Jido , K. Kim)
Magnetic moment: = (ud)0 s , =(us)0d+(ds)0u
u d
s
QCD sum rule with diquark field
du
B
mm
C
4
3conf.Kinetic Mass c
su
B
du
B
mm
C
mm
C
4
1conf.Kinetic Mass c
222
4
1FsmDismDL sudud
2
296
1 , :parameters G
mm
su
B
du
B
su
B
mm
C
mm
C
mm
C
4
1
4
3
15
Result:
(GeV) m
2296
1G
m
16
Result- cont (GeV) m
2296
1G
m
Constituent diquark mass
MeV 410)( udmMeV 600 to500)( usm
MeV 9024
3mm (us)
MeV 14524
3mm (ud)
spin color todue Attraction
su
du
usu
B
udu
B
mmm
C
mmm
C
17
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 4
3
4
3
u
B
u
B
m
C
m
C
22 4
3
4
3
u
M
u
M
m
C
m
C
u d c b u dc b0+
MeV -21.25
T of Binding 0cb
0- 0-
bc
B
u
B
mm
C
m
C
4
3
4
32
bu
M
cu
M
mm
C
mm
C
4
3
4
3
18
Tetra-quark – hadronic weak decay modes
KKBD )( )bc(udT 000cb
1+ u d c c u dc c 0- 1-)cc(udT1cc
22 4
1
4
3
c
B
u
B
m
C
m
C
cu
M
cu
M
mm
C
mm
C
4
1
4
3
19
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)
c
c
20
Pentaquarks (states with two diquarks )
u d
1/2-
Q
u s u d Q
s
u
Qs D
su
B
u
B
mm
C
m
C
4
3
4
32
Qu
M
u
B
mm
C
m
C
4
3
4
32
KDcs )( )c(udus 0
21
S=C=0 (ud) -A
S=-1, ms=5/3mu (us) -3/5 A (ds) -3/5 A
C=1, mc=5mu (uc) -1/5 A (dc) -1/5 A (sc) -3/25 A
MeV 1454
3A
2
u
B
m
C
Di-bayron – general considerations
2
0+ 4
6
2
4
di-baryon B B
Conf-1
2
4
B B
Conf-2
22
Di-bayron (Conf 1) – (qq) (qq) (qq)
u d
0+
repulsioninstanton MeV 29Binding H
u s
H di-baryon could be bound
unfortunately not found so far
d s
u d
s
u d
s
H di-baryon
CFL like state
2SC like state
su
B
u
B
mm
C
m
C
4
32
4
32
22 4
3
4
3
u
B
u
B
m
C
m
C
23
Di-baryon (Conf 2) – (qq) (qq) (qQ)
u d
0+
MeV 92Binding H c
u s
Hc di-baryon new prediction
could be found in heavy ion collision
u c
u d
u
u
c
s
Hc di-baryon P c
cu
B
su
B
u
B
mm
C
mm
C
m
C
4
3
4
3
4
32
su
B
u
B
mm
C
m
C
4
3
4
32
Kpp
ppK
c
c
)(
)( (udusuc)H 0c
mc 132
24
Tcc/D > 0.34 x 10 -4 RHIC
> 0.8 x 10 -4 LHC
c/D > 0.8 x 10 -4
Hc/Ds > 0.25 x 10 -3
Kpp
ppK
c
c
)(
)( (udusuc)H 0c
Production ratios for predicted Multiquarks
cDx
cDsx
c production at RHIC and LHC
Hc production at RHIC and LHC
Tcc production
25
2. Diquarks are unique features of QCD, Mutltiquark states will exits in Heavy sector, due to diquark structure Tcc (ud cc) bs (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
1. Particle correlation from HIC could be a nice way to measure hadronic interation and /or bound state information
3. Diquarks can enhance and/or shift pt dependence of /K, c/D production in HIC can be a signature of remnant property of sQGP
4. New Idea ??? For hadron physics in Heavy Ion collision
Summary of talk and discussions this week
particle H f0 a0 Ds0 X(3872) (1405)
correlation K+ K- D0 K+ D0 D0* P K-
26
color spin interaction: light scalar nonet
jj
aj
aiji
jijj
aj
aijig
ss
mmCssH
, q3q1
q2 q4
Diquark configurations
• Diquark basis 0,3;0,3 15.01,6;1,6 98.00,9F
• Q-antiQ basis
Scalar nonet |9,0+>
8888F VV 39.0VV, 33.0PP 43.0PP, 74.00,9
Color Spin Favor s-s
Q-Q 3bar 0 3bar -2
1 6 2/3
6 0 6 1
1 3bar -1/3
Color Spin Favor s-s
Q-Qbar 1 0 1,8 -4
1 1,8 4/3
8 0 1,8 1/2
1 1,8 -1/6
Tetraquark: Jaffe
27
Multiquark configuration: Mulders, Aerts, de Swart PRD80
color spin interaction: light scalar nonet
jj
aj
aiji ss
u d
u d u
u d u s
u d u s u
u d u s u s
32Q
13Q
34Q
35Q
16Q