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

Cornel potentialCoulomb 1/r + confinement kr

u d s c bm

3 5 150 200 1500 4700

Chiral Symmetry

SU(3)L x SU(3)R

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

3 5 150 200 1500 4700

Chiral Symmetry

SU(3)L x SU(3)R

π, K as Nambu-Goldstone bosons

Nuclei formed by tensor force

Chiral multiplets (ρ-a1, N-N*, ...)

u d s c bm

3 5 150 200 1500 4700

Chiral Symmetry

SU(3)L x SU(3)R

SU(4)L x SU(4)R

Chiral Symmetry???Chiral multiplets (ρ-a1, N-N*, ...)

u d s c bm

3 5 150 200 1500 4700

Chiral SymmetryHeavy Quark Symmetry

SU(3)L x SU(3)R SU(2)spin x SU(Nh)

u d s c bm

3 5 150 200 1500 4700

Chiral SymmetryHeavy Quark Symmetry

SU(3)L x SU(3)R SU(2)spin x SU(Nh)

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)

X, Y, Z, …

2. Doubly charmed mesons (Tcc)

tetraquark Tcc1 Zb (isospin 1)

D and nucleon D bound nuclei

✓ no strong annihilation

D and nucleon D bound nuclei

✓ no strong annihilation

✓ no strong annihilation ✓ no strong annihilation

Spin-color int. sBa (a=1,..,8) induces

cc pair 1/mQ2 further suppressed

ud pair 1/mQ0 dominant attraction (3c, I=0, s=0)

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+)

✓ no annihilation

tetraquark Tcc1

I(JP)=0(1+)

✓ no annihilation

tetraquark Tcc1

No strong decay

I(JP)=0(1+)

✓ no annihilation

tetraquark Tcc1

No strong decay

I(JP)=0(1+)

✓ no annihilation

~ 75 MeV

D* threshold (3880 MeV)D

Stable bound state (decay only weakly)

tetraquark vs. hadronic molecule?

meson exchange

tetraquark hadronic molecule

deeply bound? shallow bound/resonance?

(di)quark D, D* mesond.o.fcolor isospin

int. gluon-exchange (color-spin)

meson-exchange (OPEP)

Manohar, Wise (1993)Tornqvist, (1994)Ding, Liu, Yan (2009)Ohkoda, Yamaguchi, Y,Sudoh, Hosaka (2011)

tetraquark vs. hadronic molecule?

meson exchange

tetraquark hadronic molecule

deeply bound? shallow bound/resonance?

(di)quark D, D* mesond.o.fcolor isospin

int. gluon-exchange (color-spin)

meson-exchange (OPEP)

Weinberg-Tomozawa

SU(4) SU(5)

Strangeness, Charm, Bottom, ...

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

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

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, 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

P=D, B

D(*)D(*)π vertex

from Γ(D*→Dπ)

from leptonic and radiative decay of B

D(*) D(*) potential

p, ω, ρ

P=D, B

D(*)D(*)π vertex

from Γ(D*→Dπ)

from leptonic and radiative decay of BD(*)

p, ω, ρ

D(*) D(*) potential

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

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

All parameters (coupling constants, cut-offs) are fixed.

2. Doubly charmed mesons (Tcc)I(JP) (J≤2) in D(*)D(*) states

S-wave

D-wave(2) Tensor mixing (OPEP)

(1) DD, DD*, D*D* mixing

tetraquark vs. D(*)D(*) molecule

tetraquarkTcc

D(*)D(*) molecule tetraquark

2. Doubly charmed mesons (Tcc)tetraquark vs. D(*)D(*) molecule

tetraquarkTcc

D(*)D(*)

tetraquarkTcc

D(*)D(*)

tetraquarkTcc

D(*)D(*)

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 and nucleon

3. Other exotic heavy hadrons

D bound nuclei

D and nucleon

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

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

I=1I=0, exotic JPC

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

Υπ, hbπ loop effect (rough estimate) S. Ohkoda, Y. Yamaguchi, S.Y., K. Sudoh,

A. Hosaka, arXiv:1111.2921

I=1I=0, exotic JPC

Our prediction

I(JPC)=1(1+-)

D bound nuclei

D and nucleon

D bound nuclei

D and nucleon

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‘

D*+N (2947 MeV)

D+N (2803 MeV)

D and nucleon

S-wave

D-wave

D*+N (2947 MeV)

D+N (2803 MeV)

D and nucleon

S-wave

D-wave

Λ(1405)

1433 MeV

1330 MeV

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

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)

tetraquark Tcc1

No strong decay

Binding energy of Tcc(bb)1 [MeV]

→ Tcc(bb)1 are stable as 3f multiplet of SU(3)f.

I(JP)=0(1+)

✓ 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

Doubly charmed mesons from hadronic molecules

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