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Introduction Theory survey Charmed Pentaquark Charmed Pentaquark from B decays

Hadron spectroscopy, Heavy pentaquark, and B decay. Su Houng Lee Yonsei Univ., Korea. Introduction Theory survey Charmed Pentaquark Charmed Pentaquark from B decays. References: H. Kim, Y. Oh, S.H.Lee, PLB 595 (04) 293:

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Introduction Theory survey Charmed Pentaquark Charmed Pentaquark from B decays

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  1. Hadron spectroscopy, Heavy pentaquark, and B decay Su Houng Lee Yonsei Univ., Korea • Introduction • Theory survey • Charmed Pentaquark • Charmed Pentaquark from B decays References: H. Kim, Y. Oh, S.H.Lee, PLB 595 (04) 293: Y. Sarac, H.Kim, S.H.Lee, PRD 73 (06) 014009 S.H.Lee, Y. Kown, Y. Kown, PRL 96 (06) 102001

  2. Exotics • Hadrons that can not be expalined by quark-antiquark, or 3 quarks • That are bound by strong interaction • Reasons for its search are similar to that for superheavy Element

  3. Introduction 1. LEPS coll., Nakano et.al. PRL 91 012002 (2003) Mass= 1.54 GeV , width <25 MeV , quark content= uudds

  4. Verification 2. Verification by other group

  5. 4. NA49 hep-ex/0310014 found X*(1862) in X- p- (ddss u) with width< 18 MeV 3. CLAS finds no Q++ in K+ P invariant mass  Q+(udud s) belongs to anti-decuplet 5. Recent CLAS finds no Q+ in gamma d , gamma p in K+ P invariant mass  Q+(udud s) belongs to anti-decuplet

  6. Positive results Negative results

  7. Baryon Reprsentation Y d u I3 3 s • D(1232) • *(1383) X*(1532) W(1673) • (1540) X(1862) 10 N(939) S(1190) L(1115) X(1320) N ? S ? 8 10

  8. Heavy Pentaquarks (udud c) 1. H1 collaboration (Deep Inelastic scattering) Qc(3099) was found in D* p (uudd bar(c)) with width= 12+-3 MeV 2. Could not confirm in subsequent experiments CDF, ZEUS, FOCUS

  9. Experimental summary 1. Q+ controversial  questionable mass 1540 MeV> KN threshold (1435 MeV) 2. Qc+ controversial  questionable search was done with DN D*N final state (unbound) > 2800 MeV + e 3. Give up, more experiment or theoretical guideline?

  10. Theory review Soliton model + Quark model (biased and limited)

  11. Soliton model: original prediction (Diakanov, Petrov, Polyakov 97) 1. SU(3) soliton I=J Hedghog 2. Quantizing the 8 angles, the Hamiltonian becomes

  12. 3. With constraint coming from WZ term 1. only SU(3) representations containing Y=1 are allowed moreover, the number of states 2I+1 at S=0 or Y= Nc/3 must determine the spin of the representation through 2J+1 because I=J in the SU(2) soliton  one spin state for given representation 4. Diakanov Petrov Polyakov applied it toAnti decuplet which predicted mass= 1540, width=30 MeV

  13. Quark models Negative parity if all the quarks are in the lowest s-state But with this simple picture, it is not easy to understand small width Positive parity if a relative p wave • Karlinear, Lipkin • diquark: C=3,F=3,S=0 • triquark: C=3,F=6,S=1/2

  14. Positive parity if a relative p wave 2. Jaffe, Wilczek

  15. But, a closer look revealed puzzles

  16. Naive Solition model should fail (T. Cohen) 1. Soliton picture is valid at large N_c: Semi-classical quantization is valid for slow rotation: ie. Valid for describing excitations of order 1/N_c, so that it does not mix and breakdown with vibrational modes of order 1 2. Lowest representation SU(3)f (p,q)at large N_c Quantization constraint requires • Octet • Decuplet • Anti decuplet • (lowest representation containing s=1)

  17. 3. Mass splitting in large N_c: Anit decuplet octet mass splitting is mixes with vibrational mode and inconsistent with original assumption and has undetermined correction of same order  Rotation is too fast and may couple to vibrational modes, which might be important to excite q qbar mode, hence describing anti decuplet state with naive soliton quantization might be wrong

  18. Bound state approach for SU(3) soliton 1. SU(2) soliton+ Kaon 2. Successful for hyperon (attractive (s qbar) ) but no pentaquark (repulsive q sbar) from WZ term

  19. Summary of Solition approach for Q+ (ududs) 1. SU(3) Soliton Inconsistent application Can not be applied to heavy pentaquark Qc(ududc) 2. Bound state approach No bound Q+ predict a bound heavy pentaquark Qc(ududc) ie. mass is smaller than DN continuum

  20. Experimental search for Heavy Pentaquarks (udud c) 1. H1 collaboration in 2004 (Deep Inelastic scattering) Qc(3099) was found in D* p with width= 12+-3 MeV D* p (2950) D p (2810) 2. Could not confirm in subsequent experiments CDF, ZEUS, FOCUS in 2004, 2005

  21. Why Heavy Pentaquark

  22. Solition approach for light pentaquark Q+ (ududs) 1. SU(3) Soliton approach for Q+ : controvery T. Cohen: Inconsistent application of large Nc vs. Diakanov, ….. Can not be applied to heavy pentaquark Qc(ududc) 2. Bound state approach No boundQ+ discussions between T. Cohen and Wiegel predict a bound heavy pentaquark Qc(ududc) . ie. mass is smaller than DN continuum Quark model also predict a bound heavy pentaquark Qc(ududc) but no light pentaquark Q+(ududs) QCD sum rules also predict a bound heavy pentaquark Qc(ududc) , Y. Sarac, H. Kim, SHLee PRD 06

  23. Y. Sarac, H. Kim, S. H.Lee (PRD 05)

  24. Possible Quark structure of a pentaquark Strong diquark correlation Karlinear, Lipkin model diquark: C=3,F=3,S=0 triquark: C=3,F=6,S=1/2 Jaffe, Wilczek model u d 2 diquark: C=3,F=3,S=0 relative p wave s d u

  25. Color Spin Interaction in QCD 1. In QCD q-q are also attractive if in color anti-triplet channel. In perturbative QCD, 2CB=CM This term is called color spin interaction

  26. Color spin interaction explains hadron spectrum u u d Nucleon Baryon Mass difference Meson Mass difference Works very well with 3CB=CM = constant

  27. Why there should be a heavy pentaquark 3. If recombined into a D-meson and a Nucleon 1. For a Pentaquark L=0 L=1 2. If recombined into a Kaon and a Nucleon

  28. Summary of Theory for Pentaquark 1. While there are some controversy over light pentaquark, Soliton approach predict stable heavy pentaquark 2. Constituent quark model also seem to predict only heavy pentaquark Could not observe heavy pentaqurk from DN final state because it might be bound Heavy pentaquark can only be observed from Weak decay May be from B factory? But do we have sufficient data and can one conclude anything if one tries?

  29. Anti-Charmed pentaquark from B decays

  30. Baryonic decay mode of B+ decay in hadronic language Larger By Nc

  31. Baryonic decay mode of B+ decay in hadronic language gDPL=3.2, gD*PL=1.6 L2/(L2+p2) L=700MeV

  32. Pentaquark decay mode of B+ Weak decay Branching ratio is 0.092 Qc lower limit in B-factory Can search for it in Belle Using pevious fit, we find the branching ratio to be 14.4x10-7 gDpL x gKpQ/gKpL

  33. With present B+ data, can measure Qc from  If found the first exotic ever, will tell us about QCD and dense matter  color superconductivity Summary • While controvery exist over light pentaquark, Many Theories consistently predict bound heavy pentaquark 2. Baryonic decay mode of B+ can be sensibly estimated with previously determined hadronic parameters

  34. References • Experiments • T. Nakano , Phys. Rev. Lett. 91 (03) 012002. • K.~H.~Hicks, Prog. Part. Nucl. Phys. 55 (05) 647. • Skyrme model controversy • T.D.Cohen, Phys. Lett. B 581 (04) 175 • H. Walliser and H. Weigel, Eur. Phys. J. A 26 (05) 361. • D.Diakonov, V.Petrov and M.V.Polyakov, Z. Phys.A 359 (97) 305 • Theory • H. J. Lipkin, Phys. Lett. B 195 (87) 484. • Fl. Stancu, Phys. Rev. D 58 (98) 111501. • D. O. Riska, N. N. Scoccola, Phys. Lett. B 299 (93) 338. • Y.Oh, B.Y. Park, D.P. Min, Phys. Lett. B 331 (94) 362. Phys. Rev. D 50 (94) 3350. • R.L.Jaffe, F.Wilczek, Phys. Rev.Lett. 91(2003) 232003. • present work • H. Kim, Y. Oh, S.H.Lee, PLB 595 (04) 293: • Y. Sarac, H.Kim, S.H.Lee, PRD 73 (06) 014009 • S.H.Lee, Y. Kown, Y. Kown, PRL 96 (06) 102001

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