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Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz

DPF Meeting, August 9-13, Brown Univ., Providence, Rhode Island. Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz State University of New York Institute of Technology In collaboration with: Jora , J. Schechter , N. Shahid. (Friday 8/12/11, 9:30 am). Outline :

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Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz

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  1. DPF Meeting, August 9-13, Brown Univ., Providence, Rhode Island Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz State University of New York Institute of Technology In collaboration with: Jora, J. Schechter , N. Shahid (Friday 8/12/11, 9:30 am)

  2. Outline: Introduction Generalized linear sigma model framework Results Summary & future works

  3. Introduction:

  4. Mass 1 GeV

  5. Mass Mixing mechanism for scalar mesons below and above 1 GeV D. Black, A.F., J. Schechter, PRD 61, 074001 (2000). 1 GeV

  6. Generalized Linear Sigma Model Framework: The two chiral nonets are defined in terms of scalar and pseudoscalarnonets: At the quark level:

  7. Lagrangian:

  8. N=6 N=8 N=4 N=8 N=12 N=16 N=8 N=8 N=6 N=16 N=12 N=10 N=12 N=12 N=10 N=12 N=14 N=12 N=16 N=14 N=10

  9. N=6 N=8 N=4 N=8 N=8 N=6 N=8

  10. Exp. Inputs

  11. Inputs Results: Predictions Receive corrections due to the unitarization of p pscattering amplitude

  12. K-matrix unitarization of prediction for real part of I=J=0 p p scattering amplitue

  13. Summary: The generalized linear sigma model seems to provide a consistent picture for the mixing of scalar and pseudoscalar mesons below 2 GeV Scalar meson content is predicted to be reverse of the pseudoscalar meson Contant Future works: Pi K and pi eta scatterings Eta prime decays Inclusion of glueballs

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