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How to identify the structure of the near-threshold states from the line shape

How to identify the structure of the near-threshold states from the line shape . G.Y. Chen Xinjiang University Based on arXiv:1309.2859 G.Y. Chen, W.S. Huo and Q. Zhao. OUT LINE. Introduction The compositeness theorem in the EFT Study of the X(3872) Summary. Introduction.

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How to identify the structure of the near-threshold states from the line shape

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  1. How to identify the structure of the near-threshold states from the line shape G.Y. Chen Xinjiang University Based on arXiv:1309.2859 G.Y. Chen, W.S. Huo and Q. Zhao

  2. OUT LINE • Introduction • The compositeness theorem in the EFT • Study of the X(3872) • Summary

  3. Introduction The XYZ states: See Zhu’s talk • Near the two-particle threshold • Large coupling with the two-particle states X=? The X(3872): • Quantum number • Large coupling with • Large LHCb, 2014

  4. The compositeness theorem in the EFT The compositeness theorem by Weinberg: Weinberg, 1963, 1965 The completeness for For a bound state With Then

  5. The compositeness theorem in the EFT EFT for NN interaction: KSW 1998 If a bound state pole E=-B exists Expanding around E=-B

  6. The compositeness theorem in the EFT Extend to in EFT Expand around E=-B if a bound state exist

  7. The compositeness theorem in the EFT Comparison between our amplitude with others: Universal Amplitude used by Braaten Our Amplitude Z=0 Z is not small FlatteParametrization Our amplitude can be used for all

  8. Study of the X(3872) Line shape in The propagator of X(3872) The X(3872) and coupling

  9. Study of the X(3872) Fitting result C.Meng et al 2013 Z=28—44%

  10. Study of the X(3872) Study of If PDS scheme PDS scheme may not be suitable to study the decay processes.

  11. Summary • Amplitude contains Z, and can be widely used in studying the XYZ states. • With the line shape in we determine for the X(3872). • We show that if Z is not small, the production of the X(3872) in the B decay will be driven by its compact component.

  12. THANK YOU!

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