Exotic hadrons with heavy quarks 17-30 May. 2010@YITP Shigehiro Yasui KEK

Exotic hadrons with heavy quarks

17-30 May. 2010@YITP

Shigehiro YasuiKEK

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




Lattice QCD


1. Introduction

Exotic Hadrons

Charm/Bottom Nuclei

Diquarks in QGP

MQ→∞

Heavy Quark




Lattice QCD


1. Introduction

Exotic Hadrons

Charm/Bottom Nuclei

Diquarks in QGP

→ ud diquarks in sQGPMQ→∞

Heavy Quark




Lattice QCD


1. Introduction

Exotic Hadrons

Charm/Bottom Nuclei

Diquarks in QGP

→ ud diquarks in sQGP

→ Tcc, Θcs, Hc, ...

MQ→∞

Heavy Quark




Lattice QCD


1. Introduction

Exotic Hadrons

Charm/Bottom Nuclei

Diquarks in QGP



→ 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


Phase diagram in sQGP

Diquarks in QGP

How to observe diquarks?



Λc

c du dcu

ud diquark

+ →

Diquarks in 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


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


3f 3f


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


3f 3f



How to observe Tcc in experiments?

ccd

u

Tcc1

K+ π-

K+ π- π-

Tcb0

c du b

K+ π-

K+ π-

c u


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


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

6f

Dibaryon Hc(udusuc)2. Exotic heavy hadrons from QGP / Exotic Hadrons

Hc Hb

6f 6f


Hc Hb H’cb

6f 6f

3f


Hc Hb

Hcb

H’cb

6f 6f

3f

15f


Hc Hb

Hcb

H’cb

Hccb

6f 6f

3f

15f8f


Exotic Charm/Bottom Nuclei

SY and K. Sudoh, Phys. Rev. D80, 034008 (2009)

2. Exotic heavy hadrons from QGP / Exotic Charm/Bottom Nuclei

Stra

ngen

ess

Proton #

Neutron #Charm


Nucleusproton

neutron

Strangeness(Hyperon/K)


Hypernucleusproton

neutron

Hyperon/K


Nucleusproton

neutron

Charm/Bottom (Λc, J/ψ, D, ... Λb, Υ, B, ...)


Nucleusproton

neutron

???Charm/Bottom (Λc, J/ψ, D, ... Λb, Υ, B, ...)


N

D (B)

??

Q. What is the interaction between D (B) and N ?


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, ...


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.



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.


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)


NK

K N

, ω, ρp


ND*

D N

p

NB*

B N

p





NK

K N

, ω, ρp


ND*

D* N

p

NB*

B* N

p





One pion exchange potential (OPEP)

NB

B* N

p


ND

D* N

p

S-wave

S-wave S-wave

S-wave

DN and BN bound states JP=1/2- (I=0)


NB

B* N

p


ND

D* N

p

S-wave

D-wave D-wave

S-wave



NB*

B* N

p


ND*

D* N

p

S-wave

S-wave S-wave

S-wave



NB*

B* N

p


ND*

D* N

p

S-wave

D-wave D-wave

S-wave



NB*

B* N

p


ND*

D* N

p

D-wave

D-wave D-wave

D-wave



NB*

B* N

p



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



BN bound state15 MeV2 MeV

KN (pentaquark?)

threshold

100 MeV

cqqqq bqqqqsqqqq

Strangeness Charm Bottom

DN bound state


|DN; I=0> = |D-p> + |D0n> + |D*-p> + |D*0n>

K+ π - π - p

weak decay D*→Dπ is closed.



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


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) ?


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


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


D(*)

NN

S=1/2I=0

S=1/2I=0

3. Discussion and Summary

Exotic Hadrons

Charm/Bottom Nuclei

Diquarks in QGP



→ DN and BN states

Heavy Quark

Λ3H in HIC

→ D3H, D

3He ?

3. Discussion

Symmetry

Dynamics

Matter

SU(3)fHQS

Flavor s c (b)

Chiral Dynamics HQET/NRQCD

???Λ*, K-nuclei, Hypernuclei

Mass 0.12 GeV 1.3 (4.2) GeV

What is difference between s and c (b)?

Documents

Exotic hadrons with heavy quarks 17-30 May. 2010@YITP Shigehiro Yasui KEK