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Pseudo-scalar glueball

Pseudo-scalar glueball. Qi-Shu Yan Physics Department, Toronto University In collaboration with Song He and Mei Huang. A Viewpoint from the Effective Field Method Approach. 10:30am, 20, April, 2009 Center for High Energy Physics, Peking University. Outline. 1) Introduction

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Pseudo-scalar glueball

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  1. Pseudo-scalar glueball Qi-Shu Yan Physics Department, Toronto University In collaboration with Song He and Mei Huang A Viewpoint from the Effective Field Method Approach 10:30am, 20, April, 2009 Center for High Energy Physics, Peking University

  2. Outline • 1) Introduction • 2) An Effective Model of Instanton Effects • 3) Mass Spectra of the Model • 4) Model Parameters • 5) Numerical Results • 6) Conclusions

  3. 1 Introduction • Is it interesting to study hadron physics? • What’s U(1) problem of QCD? • Which pseudoscalar state is the exotic state? • Why effective theory method?

  4. Hadron physics is a test field for our understanding on strong interaction system. • Hadron Physics is full of mysteries and exciting discoveries. • New Physics means exotic, hybrid, and multi-quark states. Glueball is one of the new physics.

  5. Quarkonium Decays Central Production Proton-Antiproton Annihilation

  6. Future plan taken from a Review written in 1998.

  7. Light IsoScalar Meson Spectra

  8. Pseudoscalar states

  9. Which state could be the ground state of pseudoscalar glueball? A Popular viewpoint: 1405 is a good glueball candidate.

  10. 1) Whether can the effective field theory method give an answer? 2) What’s the answer of the effective field theory method?

  11. Why Effective Field Theory Method? • Model is needed due to the large mixing between pure glueball and quark states. • Chiral Quark Model is a useful and successful template model to understand symmetry breaking and meson properties. • It is a standard theoretical background for exotic states. • A workable model should describe both chiral symmetry breaking and U(1) problem solution.

  12. Ideally, the effective field theory should be derived from the path integral. • Practically, the effective field theory is constructed by symmetries + part of exact result.

  13. 2 Effective Model Instanton induced term

  14. Mass term for pseudo-glueball Mass term for pseudoscalar

  15. Vacuum Conditions:

  16. 3 Spectra of the Model

  17. Pseudoscalar ground state is heavier than scalar ground state.

  18. Relation to FKS Formalism

  19. 4 Model Parameters

  20. Dimension Regularization can produce correct k parameter needed for the solution of U(1) problem

  21. Schwinger-Dyson Equation method predicts two types of running effective gluon mass.

  22. 5 Numerical Analysis 8 free parameters in total

  23. Scenario One Scenario Two

  24. How the pseudoscalar spectra is realized?

  25. Solutions for 1405 and 2190

  26. Solutions in the parameter space for all cases

  27. Phenomenological applications

  28. Mass splitting between scalar and pseudoscalar glueballs

  29. 6 Conclusion • The results of the effective field theory method are comparable with other methods. • Scalar and Pseudoscalar parts are correlated in the model. • In the first scenario, no experimental pseudoscalar can be glueball candidate. • In the second scenario, 1475, 1405, and 1295 are possible glueball candidate.

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