Doubly charmed mesons from hadronic molecules
KEKS. Yasui
Future Prospects of Hadron Physics at J-PARC and Large Scale Computational Physics@Ibaraki Quantum Beam Research Center 9-11 Feb. 2012
1. Introduction2. Doubly charmed mesons (Tcc) S. H. Lee, S.Y., W. Liu, C. M. Ko, Eur. Phys. C54, 259 (2008) S. H. Lee, S.Y., Eur. Phys. C64, 283 (2009) S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
3. Other exotic heavy hadrons (→ poster session) S.Y., K. Sudoh, Phys. Rev. D80, 034008 (2009) Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, Phys. Rev. D84, 014032 (2011) Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, arXiv:111.2691 (appear in PRD)
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1111.2921
4. Summary
Contents
Eichten in QWG 2008 Nara
Many new cc states above threshold
1. Introduction
quarkonium cc
quarkonium cc+ exotic states
1. IntroductionX(3872), X(3940), Y(4260), Z(4430)+, ... Yb , Zb
+, ...Why are they exotic?- unusual decay widths and branching ratios- unexpected states different from cc quark model
c c
Cornel potentialCoulomb 1/r + confinement kr
u d s c bm
ΛQCD
3 5 150 200 1500 4700
Chiral Symmetry
SU(3)L x SU(3)R
[MeV]
π, K as Nambu-Goldstone bosonsChiral multiplets (ρ-a1, N-N*, ...)Nuclei formed by tensor force
...
1. IntroductionMass scales and Symmetries
Λ(1405) and K nuclei
u d s c bm
ΛQCD
3 5 150 200 1500 4700
Chiral Symmetry
SU(3)L x SU(3)R
[MeV]
π, K as Nambu-Goldstone bosons
Nuclei formed by tensor force
...
Chiral multiplets (ρ-a1, N-N*, ...)
1. IntroductionMass scales and Symmetries
Λ(1405) and K nuclei
u d s c bm
ΛQCD
3 5 150 200 1500 4700
Chiral Symmetry
SU(3)L x SU(3)R
[MeV]
π, K as Nambu-Goldstone bosons
Nuclei formed by tensor force
...
SU(4)L x SU(4)R
Chiral Symmetry???Chiral multiplets (ρ-a1, N-N*, ...)
1. IntroductionMass scales and Symmetries
Λ(1405) and K nuclei
u d s c bm
ΛQCD
3 5 150 200 1500 4700
Chiral SymmetryHeavy Quark Symmetry
SU(3)L x SU(3)R SU(2)spin x SU(Nh)
[MeV]
π, K as Nambu-Goldstone bosons
Nuclei formed by tensor force
...
Chiral multiplets (ρ-a1, N-N*, ...)
1. IntroductionMass scales and Symmetries
Λ(1405) and K nuclei
u d s c bm
ΛQCD
3 5 150 200 1500 4700
Chiral SymmetryHeavy Quark Symmetry
SU(3)L x SU(3)R SU(2)spin x SU(Nh)
[MeV]
π, K as Nambu-Goldstone bosons
Nuclei formed by tensor forceΛ(1405) and K nuclei...
D-D* (Σc-Σc*, Ξcc-Ξcc*) mass degeneracy (heavy quark sym.)
Charmed/Bottomed nuclei ?More exotics? (like Tcc)
Chiral multiplets (ρ-a1, N-N*, ...)
1. IntroductionMass scales and Symmetries
X, Y, Z, …
2. Doubly charmed mesons (Tcc)
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon D bound nuclei
D
✓ no strong annihilation
✓ no strong annihilation
✓ no strong annihilation
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon D bound nuclei
D
2. Doubly charmed mesons (Tcc)
✓ no strong annihilation
✓ no strong annihilation ✓ no strong annihilation
ccd
u
Tcc1
dc+
Spin-color int. sBa (a=1,..,8) induces
?
cc pair 1/mQ2 further suppressed
D*-D0
ud pair 1/mQ0 dominant attraction (3c, I=0, s=0)
uc
cu pair 1/mQ1 suppressed
tetraquark Tcc1
Carlson, Heller, Tjon (1988)Silvestre-Brac and Semay (1993)Lee, SY, Liu and Ko (2008)Lee and SY (2009)
„explicitly“ exotic
I(JP)=0(1+)
2. Doubly charmed mesons (Tcc)
✓ no annihilation
ccd
u
Tcc1
dc+
Spin-color int. sBa (a=1,..,8) induces
?
cc pair 1/mQ2 further suppressed
D*-D0
ud pair 1/mQ0 dominant attraction (3c, I=0, s=0)
uc
cu pair 1/mQ1 suppressed
tetraquark Tcc1
Carlson, Heller, Tjon (1988)Silvestre-Brac and Semay (1993)Lee, SY, Liu and Ko (2008)Lee and SY (2009)
„explicitly“ exotic
I(JP)=0(1+)
2. Doubly charmed mesons (Tcc)
✓ no annihilation
ccd
u
Tcc1
dc+
Spin-color int. sBa (a=1,..,8) induces
D*-D0
uc
tetraquark Tcc1
No strong decay
Carlson, Heller, Tjon (1988)Silvestre-Brac and Semay (1993)Lee, SY, Liu and Ko (2008)Lee and SY (2009)
„explicitly“ exotic
I(JP)=0(1+)
2. Doubly charmed mesons (Tcc)
✓ no annihilation
cc pair 1/mQ2 further suppressed
ud pair 1/mQ0 dominant attraction (3c, I=0, s=0)
cu pair 1/mQ1 suppressed
ccd
u
Tcc1
dc+
D*-D0
uc
tetraquark Tcc1
No strong decay
Carlson, Heller, Tjon (1988)Silvestre-Brac and Semay (1993)Lee, SY, Liu and Ko (2008)Lee and SY (2009)
„explicitly“ exotic
I(JP)=0(1+)
2. Doubly charmed mesons (Tcc)
✓ no annihilation
~ 75 MeV
Tcc1
D* threshold (3880 MeV)D
Stable bound state (decay only weakly)
2. Doubly charmed mesons (Tcc)
dcD*D
uc
tetraquark vs. hadronic molecule?
meson exchange
2. Doubly charmed mesons (Tcc)
tetraquark hadronic molecule
ccd
u
deeply bound? shallow bound/resonance?
(di)quark D, D* mesond.o.fcolor isospin
int. gluon-exchange (color-spin)
meson-exchange (OPEP)
mass
Manohar, Wise (1993)Tornqvist, (1994)Ding, Liu, Yan (2009)Ohkoda, Yamaguchi, Y,Sudoh, Hosaka (2011)
Manohar, Wise (1993)Tornqvist, (1994)Ding, Liu, Yan (2009)Ohkoda, Yamaguchi, Y,Sudoh, Hosaka (2011)
dcD*D
uc
tetraquark vs. hadronic molecule?
meson exchange
2. Doubly charmed mesons (Tcc)
tetraquark hadronic molecule
ccd
u
deeply bound? shallow bound/resonance?
(di)quark D, D* mesond.o.fcolor isospin
int. gluon-exchange (color-spin)
meson-exchange (OPEP)
mass
KK
K K
SU(3)
DD
D D
BB
B B
Weinberg-Tomozawa
SU(4) SU(5)
Strangeness, Charm, Bottom, ...
2. Doubly charmed mesons (Tcc)
? ??
D BK
K*
D*B*
400 MeV
140 MeV 45 MeV
But D* and B* are new ingredients!
Chiral Symmetry Heavy Quark Symmetry
500 MeV 1870 MeV 5280 MeV
K* is almost irrelevant in dynamics...
pseudo-scalar
vector
Strangeness, Charm, Bottom, ...
2. Doubly charmed mesons (Tcc)
KK
K K
p, ω, ρ
Weinberg-Tomozawa One pion exchange potential (OPEP)
D(*)D(*)
D(*) D(*)
B(*)B(*)
B(*) B(*)
One pion is absent.(short range force)
One pion is present. (long range force)
p, ω, ρ p, ω, ρ
Strangeness, Charm, Bottom, ...
2. Doubly charmed mesons (Tcc)
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
with
G. Burdman and J.F. Donoghue (1992)M.B. Wise (1992)T.-M. Yan, H.-Y. Cheng, C.-Y. Cheung, G.-L. Lin, Y.C. Lin and H.-L. Yu (1997)
vector + pseudoscalar
Heavy Quark Symmetry
D(*)
D(*)
D(*)
D(*)
p, ω, ρ
P=D, B
D(*) D(*) potential
D(*)D(*)π vertex
D(*)D(*)ω and D(*)D(*)ρ vertex
R. Casalbuoni et al, Phys. Rep. 281, 145 (1997)
Cf. NNπ, NNω, NNρ vertex from Bonn potential R. Machleidt et al, Phys. Rep. 149, 1 (1987)
2. Doubly charmed mesons (Tcc)S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
with
G. Burdman and J.F. Donoghue (1992)M.B. Wise (1992)T.-M. Yan, H.-Y. Cheng, C.-Y. Cheung, G.-L. Lin, Y.C. Lin and H.-L. Yu (1997)
vector + pseudoscalar
Heavy Quark Symmetry
P=D, B
D(*)D(*)π vertex
D(*)D(*)ω and D(*)D(*)ρ vertex
R. Casalbuoni et al, Phys. Rep. 281, 145 (1997)
Cf. NNπ, NNω, NNρ vertex from Bonn potential R. Machleidt et al, Phys. Rep. 149, 1 (1987)
from Γ(D*→Dπ)
from leptonic and radiative decay of B
D(*) D(*) potential
D(*)
D(*)
D(*)
D(*)
p, ω, ρ
2. Doubly charmed mesons (Tcc)S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
with
G. Burdman and J.F. Donoghue (1992)M.B. Wise (1992)T.-M. Yan, H.-Y. Cheng, C.-Y. Cheung, G.-L. Lin, Y.C. Lin and H.-L. Yu (1997)
vector + pseudoscalar
Heavy Quark Symmetry
P=D, B
D(*)D(*)π vertex
D(*)D(*)ω and D(*)D(*)ρ vertex
R. Casalbuoni et al, Phys. Rep. 281, 145 (1997)
Cf. NNπ, NNω, NNρ vertex from Bonn potential R. Machleidt et al, Phys. Rep. 149, 1 (1987)
from Γ(D*→Dπ)
from leptonic and radiative decay of BD(*)
D(*)
D(*)
D(*)
p, ω, ρ
D(*) D(*) potential
2. Doubly charmed mesons (Tcc)S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D(*)
D(*)
D(*)
D(*)
p, ω, ρ
Form factor at each vetex
ΛN for NNπ(ρ,ω) vertex is fixed to reproduce a deuteron.
ΛD,B/ΛN = (rD,B/rN)-1
rD,B,N : hadron size from quark model
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, arXiv:1112691 (appear in PRD)
D(*) D(*) potential
2. Doubly charmed mesons (Tcc)S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D(*)
D(*)
D(*)
D(*)
p, ω, ρ
Form factor at each vetex
ΛN for NNπ(ρ,ω) vertex is fixed to reproduce a deuteron.
ΛD,B/ΛN = (rD,B/rN)-1
rD,B,N : hadron size from quark model
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, arXiv:1112691 (appear in PRD)
D(*) D(*) potential
2. Doubly charmed mesons (Tcc)S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
All parameters (coupling constants, cut-offs) are fixed.
2. Doubly charmed mesons (Tcc)I(JP) (J≤2) in D(*)D(*) states
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
2. Doubly charmed mesons (Tcc)I(JP) (J≤2) in D(*)D(*) states
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
2. Doubly charmed mesons (Tcc)I(JP) (J≤2) in D(*)D(*) states
Tcc1
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
2. Doubly charmed mesons (Tcc)I(JP) (J≤2) in D(*)D(*) states
Tcc1
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D
D
D*
D*
D*D*
S-wave
S-wave
D-wave(2) Tensor mixing (OPEP)
(1) DD, DD*, D*D* mixing
tetraquark vs. D(*)D(*) molecule
2. Doubly charmed mesons (Tcc)
tetraquarkTcc
1
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D(*)D(*) molecule tetraquark
2. Doubly charmed mesons (Tcc)tetraquark vs. D(*)D(*) molecule
tetraquarkTcc
1
D(*)D(*)
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D(*)D(*) molecule tetraquark
D(*)D(*) molecule tetraquark
2. Doubly charmed mesons (Tcc)tetraquark vs. D(*)D(*) molecule
tetraquarkTcc
1
D(*)D(*)
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
D(*)D(*) molecule tetraquark
2. Doubly charmed mesons (Tcc)tetraquark vs. D(*)D(*) molecule
tetraquarkTcc
1
D(*)D(*)
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1202.0760
Energy spectrum is very different !!(a) g.s. is negative parity.(b) many resonant states can exist.(c) I=1 state can exist.
D bound nuclei
D
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon
3. Other exotic heavy hadrons
D bound nuclei
D
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon
3. Other exotic heavy hadrons
I(JPC)=1(1+-) Zb(10608) M1=10608.4±2.0 MeV, Γ1=15.6±2.5 MeVZb(10653) M2=10653.2±1.5 MeV, Γ2=14.4±3.2 MeV
Belle, arXiv:1105.4583
exp.
exp.
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1111.2921
3. Other exotic heavy hadrons
I=1I=0, exotic JPC
Our prediction
Zb(10608) M1=10608.4±2.0 MeV, Γ1=15.6±2.5 MeVZb(10653) M2=10653.2±1.5 MeV, Γ2=14.4±3.2 MeV
Belle, arXiv:1105.4583
exp.
exp.
I=1I=0, exotic JPC
S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh, A. Hosaka, arXiv:1111.2921
Our prediction
3. Other exotic heavy hadronsI(JPC)=1(1+-)
Zb(10608) M1=10608.4±2.0 MeV, Γ1=15.6±2.5 MeVZb(10653) M2=10653.2±1.5 MeV, Γ2=14.4±3.2 MeV
Belle, arXiv:1105.4583
exp.
exp.
Υπ, hbπ loop effect (rough estimate) S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh,
A. Hosaka, arXiv:1111.2921
3. Other exotic heavy hadrons
I=1I=0, exotic JPC
Our prediction
I(JPC)=1(1+-)
D bound nuclei
D
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon
3. Other exotic heavy hadrons
D bound nuclei
D
tetraquark Tcc1 Zb (isospin 1)
ccd
u BB
I=1
N
D
D and nucleon
3. Other exotic heavy hadrons
S.Y., K. Sudoh, Phys. Rev. D80, 034008 (2009)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, Phys. Rev. D84, 014032 (2011)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, arXiv:111.2691 (appear in PRD)
D*+N (2947 MeV)
D+N (2803 MeV)
No other channels → Only DN and D*N
D and nucleon
`Pentaquark-channel‘
π+Σc (2593 MeV)
π+Σc* (2658 MeV)
Λc(2595) 0(1/2-)Λc(2625) 0(3/2-)
Σc(2800) 1(??)
D*+N (2947 MeV)
D+N (2803 MeV)
D and nucleon
`Λ*-channel‘
3. Other exotic heavy hadrons
S.Y., K. Sudoh, Phys. Rev. D80, 034008 (2009)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, Phys. Rev. D84, 014032 (2011)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, arXiv:111.2691 (appear in PRD)
D*+N (2947 MeV)
D+N (2803 MeV)
No other channels → Only DN and D*N
D and nucleon
`Pentaquark-channel‘
3. Other exotic heavy hadrons
D
D
N
N
ND*
S-wave
S-wave
D-wave
3. Other exotic heavy hadrons
D*+N (2947 MeV)
D+N (2803 MeV)
No other channels → Only DN and D*N
D and nucleon
`Pentaquark-channel‘
D*+N
D+N
S.Y., K. Sudoh, Phys. Rev. D80, 034008 (2009)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, Phys. Rev. D84, 014032 (2011)Y. Yamaguchi, S. Ohkoda, S.Y., A. Hosaka, arXiv:111.2691 (appear in PRD)
D
D
N
N
ND*
S-wave
S-wave
D-wave
Λ(1405)
KN
πΣ
1433 MeV
1330 MeV
ΞN
ΛΛ
2255 MeV
2230MeV
H dibaryon
K nuclei
Hypernuclei
D nuclei
BN6217 MeV
BN state
DN2807 MeV
DN state2946 MeV 6263 MeV
D*N B*N
B nuclei
3. Other exotic heavy hadrons
4. Summary・ Heavy quarks have new symmetry and dynamics.
・ Many exotic heavy hadrons and nuclei.
・ Searches in e+e-, pp (pp) and heavy ion collisions should be performed.
Heavy quark symmetryD-D* mixing...
Tcc1 and other DD states
Zb (I=1) and other BB states (→ Ohkoda’s poster)DN bound/resonance states (→ Yamaguchi’s poster)D bound nuclei・ Lattice QCD analysis?
Normal hadron0.2
1Hadron molecule
Multi-quark
PRL106, 212001 (2011);PRC84, 06491 (2011)
ExHIC (Exotics from Heavy Ion Collisions) collaborationS. Cho (Yonsei U.), T. Furumoto (YITP and RIKEN), T. Hyodo (Tokyo Inst. Technology), D. Jido (YITP), C.-M. Ko (Texas A&M U.), S. H. Lee (Yonsei U. and YITP), M. Nielsen (U. de Paulo), A. Ohnishi (YITP), T. Sekihara (YITP and Kyoto U.), K. Yazaki (YITP and RIKEN), S. Y. (KEK)
ccd
u
Tcc1
dc+
D*-D0
uc
tetraquark Tcc1
No strong decay
Carlson, Heller, Tjon (1988)Silvestre-Brac and Semay (1993)Lee, SY, Liu and Ko (2008)Lee and SY (2009)
„explicitly“ exotic
Binding energy of Tcc(bb)1 [MeV]
→ Tcc(bb)1 are stable as 3f multiplet of SU(3)f.
I(JP)=0(1+)
2. Doubly charmed mesons (Tcc)
✓ no annihilation
ExHIC (Exotics from Heavy Ion Collisions) collaborationS. Cho (Yonsei U.), T. Furumoto (YITP and RIKEN), T. Hyodo (Tokyo Inst. Technology), D. Jido (YITP), C.-M. Ko (Texas A&M U.), S. H. Lee (Yonsei U. and YITP), M. Nielsen (U. de Paulo), A. Ohnishi (YITP), T. Sekihara (YITP and Kyoto U.), K. Yazaki (YITP and RIKEN), S. Y. (KEK)
S. Cho et al. (the ExHIC collaboration), PRL106, 212001 (2011)
3. Experimental researchesYields of exotic hadrons at RHIC and LHC