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

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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 : - PowerPoint PPT Presentation
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Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz State University of New York Institute of Technology In collaboration with: R. Jora, J. Schechter , N. Shahid DPF Meeting, August 9-13, Brown Univ., Providence, Rhode Island ( F r i d a y 8 / 1 2 / 1 1 , 9 : 3 0 a m ) (2001). 014031 64, PRD Shechter, J. Nasri, S. Moussa, S. A.F., Black, D. (2000). 074001 61, PRD Shechter, J. A.F., Black, D. (2008) 094004 77, PRD (2008); 034006 77, PRD (2007) 114001 76, PRD (2007); 014011 76, PRD (2005); 034001 72, PRD Schechter, J. , Jora R. A.F., : refs. Related ph] - p .4835v1[he 1106 : arXiv Shahid, M.N. Schechter, J. , Jora R. A.F., (2009) 074014 79, D Rev. Phys. Schechter, J. , Jora R. A.F., : refs. Main
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Page 1: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Probing scalar mesons below and above 1 GeV

Presented by:

Amir FariborzState University of New York

Institute of Technology

In collaboration with:

R. Jora, J. Schechter , N. Shahid

(2001). 014031 64, PRD Shechter, J.Nasri, S. Moussa, S. A.F., Black, D.(2000). 074001 61, PRD Shechter, J. A.F., Black, D.

(2008) 094004 77, PRD(2008); 034006 77, PRD (2007); 114001 76, PRD (2007); 014011 76, PRD(2005); 034001 72, PRD Schechter, J. ,Jora R. A.F.,

:refs. Related

ph]-p.4835v1[he 1106:arXiv Shahid, M.N. Schechter, J. ,Jora R. A.F.,(2009) 074014 79, D Rev. Phys. Schechter, J. ,Jora R. A.F.,

:refs.Main

DPF Meeting, August 9-13, Brown Univ., Providence, Rhode Island (Frid

ay 8

/12

/11

, 9:3

0 a

m)

Page 2: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Outline:1) Introduction

2) Generalized linear sigma model framework

3) Results

4) Summary & future works

Page 3: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Introduction:

multiplets SU(3) alconvention thefollowt doesn' spectrum massTheir -

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Page 4: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Mass

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Page 5: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Mass

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

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Page 6: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

iSM

iSM

Generalized Linear Sigma Model Framework: The two chiral nonets are defined in terms of scalar and pseudoscalar nonets:

:)1()3()3(Under ARL USUSU

At the quark level:

M

Page 7: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Lagrangian:

termbreakingsymmetry theis )1(not but ,)3()3(under invariant is 0

SB

ARLV

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(2005)] 034001 72, PRD Schechter, J. ,Jora R. [A.F.,

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Page 8: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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Page 9: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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Page 10: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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Page 11: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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Page 12: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz
Page 13: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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Predictions

Receive corrections due to the unitarization of p p scattering amplitude

Results:

Page 14: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

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

Page 15: Probing scalar mesons  below and above 1  GeV Presented by: Amir  Fariborz

Summary:The generalized linear sigma model seems to provide a consistentpicture 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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