exotic hadrons with heavy quarks
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Contents
1. Introduction
Why do we use heavy quarks?
2. Exotic heavy hadrons from QGP
・ Diquarks in QGP
・ Tcc tetraquarks and others...
・ Charm/Bottom Nuclei
3. Discussion and Summary
1. Introduction
Quantum Chromo Dynamics (QCD)
Dynamical chiral symmetry breakingConfinement of quarks and gluonsU(1)A anomaly
Hadrons and Nuclei
Quark MatterQuark-Gluon Plasma
......typical features in QCD
Variety of states of QCD matter
QCD matter
Variety of states of QCD matter1. Introduction
Quantum Chromo Dynamics (QCD)
Dynamical chiral symmetry breakingConfinement of quarks and gluonsU(1)A anomaly
Hadrons and Nuclei
Quark MatterQuark-Gluon Plasma
......typical features in QCD
How can we understand them from QCD?→ Very difficult for light quarks
QCD matter
Heavy Quark Effective Theory
(potential) non-relativistic QCD
Heavy Meson Effective Theory
Lattice QCD
Heavy Quark Symmetry
1. Introduction
MQ→∞
Heavy Quark
Heavy Quark Effective Theory
(potential) non-relativistic QCD
Heavy Meson Effective Theory
Lattice QCD
Heavy Quark Symmetry
1. Introduction
Exotic Hadrons
Charm/Bottom Nuclei
Diquarks in QGP
MQ→∞
Heavy Quark
Heavy Quark Effective Theory
(potential) non-relativistic QCD
Heavy Meson Effective Theory
Lattice QCD
Heavy Quark Symmetry
1. Introduction
Exotic Hadrons
Charm/Bottom Nuclei
Diquarks in QGP
→ ud diquarks in sQGPMQ→∞
Heavy Quark
Heavy Quark Effective Theory
(potential) non-relativistic QCD
Heavy Meson Effective Theory
Lattice QCD
Heavy Quark Symmetry
1. Introduction
Exotic Hadrons
Charm/Bottom Nuclei
Diquarks in QGP
→ ud diquarks in sQGP
→ Tcc, Θcs, Hc, ...
MQ→∞
Heavy Quark
Heavy Quark Effective Theory
(potential) non-relativistic QCD
Heavy Meson Effective Theory
Lattice QCD
Heavy Quark Symmetry
1. Introduction
Exotic Hadrons
Charm/Bottom Nuclei
Diquarks in QGP
→ ud diquarks in sQGP
→ Tcc, Θcs, Hc, ...
→ new exotic nuclei
MQ→∞
Heavy Quark
Diquarks in QGP
S. H. Lee, K. Ohnishi, SY, I.-K. Yoo, C.-M. Ko, Phy. Rev. Lett. 100, 222301 (2008)Y. Oh, C.-M. Ko, S. H. Lee, SY, Phys. Rev. C79, 044905 (2009)
2. Exotic heavy hadrons from QGP / Diquarks in QGP
Diquarks in Baryons
N
Λ
Λc dcu
duu
ud diquark is isolated from c and b
diquark (spin 0) interaction [MeV]
ud-150 us -90
ds -90
uc -30
dc -30
sc-15
ub -10
db -10
sb-5
cb-2
dsu
Λb dbu
2. Exotic heavy hadrons from QGP / Diquarks in QGP
Phase diagram in sQGP
Diquarks in QGP
How to observe diquarks?
2. Exotic heavy hadrons from QGP / Diquarks in QGP
Phase diagram in sQGP
Λc
c du dcu
ud diquark
+ →
Diquarks in QGP
How to observe diquarks?
Phase diagram in sQGP
Diquarks in QGP
How to observe diquarks?
2. Exotic heavy hadrons from QGP / Diquarks in QGP
Λc
b duud diquark
+ → dbu
Exotic Hadrons in Diquark Model
S. H. Lee, SY, W. Liu, C.-M. Ko, Eur. Phys. J. C54, 259 (2008)S. H. Lee, SY, Eur. Phys. J. C64, 283 (2009)
2. Exotic heavy hadrons from QGP / Exotic Hadrons
Tetraquark Tcc(udcc)
c cdu
Tcc1
c+
D*-D0
uc
B.E.
-61 MeV
-123 MeV
Tbb1B.E.Tcc
1
S=0
S=-1 -4 MeV
-74 MeV
d
3f 3f
ub
2. Exotic heavy hadrons from QGP / Exotic Hadrons
du
Tbb1
bbd+
B*0
b
B+
B.E.
-61 MeV
-123 MeV
Tbb1B.E.Tcc
1
S=0
S=-1 -4 MeV
-74 MeV
Tetraquark Tcc(udcc)
3f 3f
2. Exotic heavy hadrons from QGP / Exotic Hadrons
du
Tcb1
B.E.
+24 MeV
-21 MeV
Tcb0B.E.Tcb
1
S=0
S=-1 +3 MeV
-59 MeV
bcd+
B*0D0
uc b
B.E.Tcc1
S=0
S=-1 -4 MeV
-74 MeV
B.E.
-61 MeV
-123 MeV
Tbb1
Tetraquark Tcc(udcc)
3f 3f
2. Exotic heavy hadrons from QGP / Exotic Hadrons
Tetraquark Tcc(udcc)
How to observe Tcc in experiments?
ccd
u
Tcc1
K+ π-
K+ π- π-
Tcb0
c du b
K+ π-
K+ π-
c u
2. Exotic heavy hadrons from QGP / Exotic Hadrons
ΘcsΛ
dus
+s d
u
B.E.ΘbsB.E.
S=-1
S=-2
Θcs
uc
D0
+8 MeV
+8 MeV
-56 MeV
-56 MeV
Pentaquark Θcs(udusc)
3f
b u
2. Exotic heavy hadrons from QGP / Exotic Hadrons
ΘbsΛ
dus
+s d
u
B.E.
S=-1
S=-2 +8 MeV
+8 MeV
Θcs
ub
B+
B.E.Θbs
-56 MeV
-56 MeV
Pentaquark Θcs(udusc)
3f
Hc Hb
Hcb
H’cb
Hccb
6f 6f
3f
15f8f
Dibaryon Hc(udusuc)2. Exotic heavy hadrons from QGP / Exotic Hadrons
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
Nucleusproton
neutron
Strangeness(Hyperon/K)
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
Nucleusproton
neutron
Charm/Bottom (Λc, J/ψ, D, ... Λb, Υ, B, ...)
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
Nucleusproton
neutron
???Charm/Bottom (Λc, J/ψ, D, ... Λb, Υ, B, ...)
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
N
D (B)
??
Q. What is the interaction between D (B) and N ?
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
NK
K N
SU(3)
ND
D N
NB
B N
Weinberg-Tomozawa
SU(4) SU(5)
Lutz-Kolomeitsev (2004), Hoffmann-Lutz (2005), Mizutani-Ramos (2006), Gamermann-Oset-Strottman-Vacas (2007), Haidenbauer-Krein-Meissner-Sibirtsev (2007), ...
Strangeness, Charm, Bottom, ...
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
D BK
K*
D*B*
400 MeV
140 MeV 45 MeV
D* and B* are new ingredients!
500 MeV 1870 MeV 5280 MeV
K* is almost irrelevant in dynamics.
Strangeness, Charm, Bottom, ...
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
D BK
K*
D*B*
400 MeV
140 MeV 45 MeV
D* and B* are new ingredients!
Chiral Symmetry Heavy Quark Symmetry
500 MeV 1870 MeV 5280 MeV
K* is almost irrelevant in dynamics.
Strangeness, Charm, Bottom, ...
KN interaction D(B)N interaction
NK
K N
, ω, ρp
Weinberg-Tomozawa One pion exchange potential (OPEP)
ND
D* N
p
NB
B* N
p
One pion is absent.(short range force)
One pion is present. (long range force)
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
NK
K N
, ω, ρp
Weinberg-Tomozawa One pion exchange potential (OPEP)
ND*
D N
p
NB*
B N
p
One pion is absent.(short range force)
One pion is present. (long range force)
KN interaction D(B)N interaction
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
NK
K N
, ω, ρp
Weinberg-Tomozawa One pion exchange potential (OPEP)
ND*
D* N
p
NB*
B* N
p
One pion is absent.(short range force)
One pion is present. (long range force)
KN interaction D(B)N interaction
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
One pion exchange potential (OPEP)
NB
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
ND
D* N
p
S-wave
S-wave S-wave
S-wave
DN and BN bound states JP=1/2- (I=0)
One pion exchange potential (OPEP)
NB
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
ND
D* N
p
S-wave
D-wave D-wave
S-wave
DN and BN bound states JP=1/2- (I=0)
One pion exchange potential (OPEP)
NB*
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
ND*
D* N
p
S-wave
S-wave S-wave
S-wave
DN and BN bound states JP=1/2- (I=0)
One pion exchange potential (OPEP)
NB*
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
ND*
D* N
p
S-wave
D-wave D-wave
S-wave
DN and BN bound states JP=1/2- (I=0)
One pion exchange potential (OPEP)
NB*
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
ND*
D* N
p
D-wave
D-wave D-wave
D-wave
DN and BN bound states JP=1/2- (I=0)
One pion exchange potential (OPEP)
NB*
B* N
p
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
DN and BN bound states JP=1/2- (I=0)
ND*
D* N
p
D-wave
D-wave D-wave
D-wave
Similarly → JP=1/2- (I=1) and JP=3/2- (I=0, 1)
BN bound state15 MeV2 MeV
KN (pentaquark?)
threshold
100 MeV
cqqqq bqqqqsqqqq
Strangeness Charm Bottom
DN bound state
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
DN and BN bound states JP=1/2- (I=0)
BN bound state15 MeV2 MeV
KN (pentaquark?)
threshold
100 MeV
cqqqq bqqqqsqqqq
Strangeness Charm Bottom
DN bound state
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
|DN; I=0> = |D-p> + |D0n> + |D*-p> + |D*0n>
K+ π - π - p
weak decay D*→Dπ is closed.
DN and BN bound states JP=1/2- (I=0)
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
Λ(1405)
KN
πΣ
1433 MeV
1330 MeV
ΞN
ΛΛ
2255 MeV
2230MeV
H dibaryon
BN6217MeV
BN state
DN2807MeV
DN stateB.E. 15 MeV
B.E. 2 MeV
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
Λ(1405)
KN
πΣ
1433 MeV
1330 MeV
ΞN
ΛΛ
2255 MeV
2230MeV
H dibaryon
BN6217MeV
BN state
DN2807MeV
DN state
K nuclei
Hypernuclei
Charm/Bottom nuclei
B.E. 15 MeV
B.E. 2 MeV
Exotic Charm/Bottom Nuclei
A=2 charmed (bottom) nucleus ?
D (B)
NN
Q. Are there exotic nuclei with D (B) ?
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
DNN and BNN systems
D(*)
NN
Classification of statesJP=0-
JP=1-
I=1/2
I=3/2
I=1/2
I=3/2
|D(NN)S=0,I=1> + |D*(NN)S=1,I=0>
|D(NN)S=0,I=1>
|D(NN)S=1,I=0> + |D*(NN)S=1,I=0> +|D*(NN)S=0,I=1>
|D(NN)S=0,I=1>
S=1/2I=0
S=1/2I=0
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
DNN and BNN systems
Classification of statesJP=0-
JP=1-
I=1/2
I=3/2
I=1/2
I=3/2
|D(NN)S=0,I=1> + |D*(NN)S=1,I=0>
|D(NN)S=0,I=1>
|D(NN)S=1,I=0> + |D*(NN)S=1,I=0> +|D*(NN)S=0,I=1>
|D(NN)S=0,I=1>
3/4 1/4
0
1/4 1/6 1/4
0
Fraction of (D(*)N)S=1/2,I=0
2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei
D(*)
NN
S=1/2I=0
S=1/2I=0
3. Discussion and Summary
Exotic Hadrons
Charm/Bottom Nuclei
Diquarks in QGP
→ ud diquarks in sQGP
→ Tcc, Θcs, Hc, ...
→ DN and BN states
Heavy Quark
Λ3H in HIC
→ D3H, D
3He ?
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