1. Su Houng Lee 1. Hadrons with one heavy quark 2. Multiquarks with one heavy quark 3. Quarkonium Arguments based on two point function  can be generalized to higher point function Hadron Physics with Heavy quarks 1

2. 2 QCD Chiral symmetry breaking Confinement Phenomenology One heavy quark Two heavy quark Heavy quark

3. 1. Hadrons with one heavy quark 3

4. 4 Heavy quark propagator Perturbative treatment are possible because

5. 5 Perturbative treatment are possible when which breaks down at x=0 due to light quark propagator One Heavy quark and one Light antiquark

6. 6 Contribution from light quark condensate converges for large

7. 7 Chiral order parameters D(1870) D(2400)

8. 8 Direct observation of chiral symmetry restoration in medium D(1870) 0- D(2400) Belle > 200 MeV 0+ D  Hayashigaki (00) Weise, Morath, Lee (99) Generalization to other channels: Kampfer et a. (10), Mishra et.al., Z. Wang QCD sum rule approach: Hayashigaki, Weise, Morath, Lee

9. 9 but no convergence  model approach  Heavy quark symmetry D D* D0D0 D0D0 near mass shell

10. 10 Qq quark system in vacuum and medium: Chiral symmetry D(1870) 0- D(2400) 2318 ? 0+ D*(2007) 1- D1(2420) 1+ Ds(1968) Ds(2317) D*(2112) Ds1(2460) 530 448 ? 413 349 348 0- 0+1-1+ 137 144 xxx? 396 xxx345 B(5279) B(57xx)? B*(5325) B1(5721) Bs(5366) Bs(58xx)? Bs*(5415) Bs1(5830) 46

11. 2. Multiquarks with one heavy quark 11 1.Some introduction with diquarks 2.Possible multiquark states

12. 12 Babar: D SJ (2317) 0+ Puzzle in Constituent Quark Model(2400) 1.D0 K+ (2358) threshold effect 2.Chiral partner of (0 - 1 - ) 3.Tetraquark X(3872)  <10 MeV, Y(4260), Z(4430)  <50   ’  Z(4051),Z(4248)   c1  Zb(10610), Zb(10650)   molecule ? B0+B*B*+B*B+B1B1+B* 10604.610650.211000.511046.1 Belle Recent highlights on Multi-quark hadrons –heavy quark sector

13. 13 Normal meson TetraquarkMolecule Geometrical configuration Flavor quantum number ud uu u d u d u u u d Navara, Nielsen, SHLee Phys Rept (11) Normal meson, Tetraquark and Molecule

14. 14 Color spin interaction (De Rujula, Georgi, Glashow..) q1q1 q2q2 q4q4  Diquark vs. quark-antiquark configurations ColorSpinFlavor  Q-Q3bar0 -2 162/3 6061 13bar-1/3 ColorSpinFlavor  Q-Qbar101,8-4 11,84/3 801,8 1/2 11,8-1/6 q2q2  Diquark attracation vs quark-antiquark q3q3 q1q1 q2q2

15. 15 Recently observed states with hidden heavy quark  Yasui  Most probably molecular state NOT tetraquark q3q3 q1q1 c c q3q3 q1q1 c c q3q3 q1q1 c c q3q3 q1q1 c c    D D* D1 D* X(3872)Z(4430)

16. 16  Diquark attracation vs quark-antiquark q3q3 q1q1 q2q2  diquark picture: Yasui, Ko, Liu, Lee,.. (EJP08,EJP09) Type of diquark and its q-q binding S=C=0(ud)  A S=-1, m s =5/3m u (us)  3/5 A(ds)  3/5 A C=1, m c =5m u (uc)  1/5 A(dc)  1/5 A(sc)  3/25 A Multiquark configuration –Yasui, Ko, Liu, Lee (08,09) q3q3

17. 17 1+1+ ud cc u d c c  0-0- 1-1- - Binding against decay = - 79.3 MeV A picture of  c (K.Kim, D. Jido, SHL) ud c Tetra-quark A Tetraquark

18. 18 u d  0+0+ u s d s u d s u d s H di-baryon Di-baryon (conf 1) – (qq)(qq)(qq)

19. 19 ud  0+0+ us H c di-baryon uc ud u u c s P cc Di-baryon (conf 2) – (qq)(qq)(qQ)

20. 3. Quarkonium 20

21. 21 Perturbative treatment are possible when System with heavy quark anti-quark

22. 22 q2 q2 process expansion parameter example 0 Photo-production of open charm m 2 J/  > 0Bound state properties Formalism by Peskin (79) J/  dissociation: NLO J/  mass shift: LO -Q 2 < 0 QCD sum rules for heavy quarks Predicted m  c <m J/  before experiment Perturbative treatment are possible when

23. 23 Subtlety for bound states Applequist, Dine, Muzinich (78), Peskin (79 ), Basis for pNRQCD........ = Separation scale

24. 24  OPE for bound state: m  infinity Mass shift: QCD 2 nd order Stark Effect : Peskin 79 e > L qcd  Attractive for ground state Separation scale For small T  modify matrix element

25. 25 Summary of analysis of Stark effect+ QCD sum rule (Morita-Lee) Due to the sudden change of condensate near Tc T G0G0 G2G2 Abrupt changes for mass and width near Tc

26. 26 Linear density approximation Condensate at finite density At r = 5 x r n.m. Operators in at finite density and hadronic phase

27. 27 QCD sum rule for Quarkonia at nuclear matter: Klingl, Kim, SHL,Weise (99), Hayashigai (99) Contribution from complete dim 6 operators: Kim SHL (01) mass shift at nuclear matter: -7 MeV (dim 4) -4 MeV (dim4+ dim6) QCD sum rule + MEM at finite temperature: Gubler, Oka, Morita QCD sum rule for Quarkonia in medium looking forward to further work

28. 28 W(S-T)= exp(-  ST) Time Space S W(S-T) = 1- (ST) 2 +.. W(S-S) = 1- (SS) 2 +.. OPE for Wilson lines: Shifman NPB73 (80), vs confinement potential Local vs non local behavior W(S-S)= exp(-  SS) T Behavior at T>Tc W(SS)= exp(-  SS) W(ST)= exp(- g(1/S)T) T

29. 29 SU(3) Gauge Boyd (1996) 2+1 HotQCD (2012) Behavior near Tc

30. 30 T/Tc  String Tension: QCD order parameter Early work on J/y at finite T (Hashimoto, Miyamura, Hirose, Kanki)

31. 31 Chiral symmetry breaking Confinement JPARC One heavy quark Two heavy quark Heavy quark Analytic approaches Lattice calculation

32. 32  Hadrons with one heavy quark (D, …) in medium can give new insight into chiral symmetry restoration a) nuclear target ? Heavy ion at JPAR b) Lattice calculation Summary  Molecules are interesting. Flavor exotic multiquark states will exist in the heavy sector a) From B decay b) From JPARC  Quarkonium in medium will give new insights into confinement problem

33. 33 S=C=0(ud)  -A S=-1, m s =5/3m u (us)  -3/5 A(ds)  -3/5 A C=1, m c =5m u (uc)  -1/5 A(dc)  -1/5 A(sc)  -3/25 A u d  1/2 + s u d L=1 u d s u d L 2 contribution  - 500 MeV in Five body quark model by Hiyama, Hosaka et al (06) ++ PK  + (Jaffe Wilczek) in a naïve quark model Multiquark configuration –Yasui, Ko, Liu, Lee (08,09)