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A possible tetraquark state in heavy quarkonium decays

A possible tetraquark state in heavy quarkonium decays. Shen Pengnian Institute of High Energy Physics (IHEP) Chinese Academy of Sciences shenpn@mail.ihep.ac.cn. Collaborators: F.K. Guo, H.C.Chiang, B.S.Zou, R.G.Ping. NSTAR’07, Bonn, Germany, 2007.9.5-8.

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A possible tetraquark state in heavy quarkonium decays

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  1. A possible tetraquark state in heavy quarkonium decays Shen Pengnian Institute of High Energy Physics (IHEP) Chinese Academy of Sciences shenpn@mail.ihep.ac.cn Collaborators: F.K. Guo, H.C.Chiang, B.S.Zou, R.G.Ping NSTAR’07, Bonn, Germany, 2007.9.5-8

  2. Heavy quarkonium transition model and • a possible tetraquark state I. Motivation III. Further supports IV. remarks

  3. I. Motivation  multi-quark state  hadron

  4.  interaction QCD theory NPQCDmodels - Potential model - Bag model - Lattice calculation - QCDSR, QFT  existence of exotics enrich knowledge of QCD

  5.  77‘ Jaffe predicted multi-quark states R.Jaffe, Phys.Rev., D15(1977)267; Phys.Rev.Lett., 38(1977)195; hep-ph/0001123 • Recent years, many multi-quark states have been discussed  Theoretically predicted not found ! R.Jaffee, Phys.Rev.Lett., 38(1977)195 Y.W.Yu, et al., High Ener.Phys.Nucl.Phys., 23(1999)859 P.N.Shen, et al., J.Phys.G25(1999)1807; Nucl.Phys.,A675(2000)234 Q.B.Li, et.al., Nucl.Phys., A683(2001)487 F.Wang, et al., Phys.Rev.,C51(1995)3411

  6.  Experimentally observed many new hadron states No definitive theoretical explanation yet! e.g. X(3872) E.S.Swanson, Phys.Rept., 429(2006)243 L.Maiani, et al., Phys.Rev.,D71(2005)014028 D.Ebert, et al., hep-ph/051230 Tetraquark ? if X(3872) is 1++ state charged X and 0++, 1+-, 2++ states but not found yet !

  7. Y(4260) L.Maiani, et al., Phys.Rev.,D72(2005)031502 1st orbital excitation of ? DS(2317), DS(2460) Y.Q.Chen, X.Q.Li, Phys.Rev.Lett.,93(2004)232001 DS(2630) ? ? Y.Q.Chen, X.Q.Li, Phys.Rev.Lett.,93(2004)232001 ? L.Maiani, et al., Phys.Rev.,D70(2004)054009

  8.  strangelet Y.Zhang, R.K.Su, Phys.Rev.,C67(2003)015202; Mod.Phys.Lett.,A18(2003)143 X.J.Wen, et al., Phys.Rev.,C72(2005)015204 easy to form multi-quark cluster Question: whether a system with heavy quark (c or b quark) is easy to be bound ?

  9. Interpretation of heavy quarkonium transitions

  10. Heavy quarkonium decays multi-quark states ?

  11.  Chiral Unitary Approach (ChUA) J.A.Oller, et al., Nucl.Phys.,A620(1997)438 Key point: properly treat FSI between two pions • Heavy quarkonium transition model • and a possible tetraquark state • use coupled channel B-S equations T=V+VGT a unitarized t-matrix

  12. use lowest order amplitude in PT as the kernel of coupled channel BSE  Effective Lagrangian

  13. decay amplitude  resultant giare not self consistent  cannot fit data

  14. introduce X • full amplitude

  15.  Result F.K.Guo, et al., Nucl.Phys., A761(2005)269  transition

  16. quantum numbers: quark contents:  predicted X mass: width:

  17. III. Further supports  Theoretical support  Constitute quark model J.Vijande, et al., Nucl.Phys., A790(2007)506c H.X.Zhang, et al., Chin.Phys.Lett., 24(2007)2533

  18.  QCD sum rules R.D.Matheus, et al., hep-ph/0705.1357 Current: Borel window: with c quark b quark Predicted mass:

  19.  Experimental support transition  understanding of data Belle, hep-ex/0512034 BaBar, PRL96,232001(2006) hep-ex/0604031 Belle, hep-ex/0611026

  20. Belle’s obsolete data Belle’s new data

  21. Problems in fitting data with some theoretical models 1. The phase space region of the decay is large. , pions are not soft. 2. In this phase space region, scalar resonance f0(980) can couple to two pions, but it is not considered in the adopted theoretical models. 3. Neither the scalar particle σnor the FSI is considered.

  22. quoted from Vogel’s transparencies

  23. Behavior of |M|2 with the 3-body phase space subtracted

  24.  Our model

  25.  Resultant decay with X

  26. IV. remarks  X is a consequence of the heavy quarkonium transition data.  Its quark contents are  X is supported by QCD sum rule calculations, constituent quark model calculations and new experimental data.  More accurate data are needed for further confirmation of X.

  27. Thanks

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