DPF Meeting, August 9-13, Brown Univ., Providence, Rhode Island
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Probing scalar mesons below and above 1 GeV Presented by: Amir Fariborz PowerPoint PPT Presentation


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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 :

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

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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)


Probing scalar mesons below and above 1 gev presented by amir fariborz

Outline:

Introduction

Generalized linear sigma model framework

Results

Summary & future works


Probing scalar mesons below and above 1 gev presented by amir fariborz

Introduction:


Probing scalar mesons below and above 1 gev presented by amir fariborz

Mass

1 GeV


Probing scalar mesons below and above 1 gev presented by amir fariborz

Mass

Mixing mechanism for scalar mesons below and above 1 GeV

D. Black, A.F., J. Schechter, PRD 61, 074001 (2000).

1 GeV


Probing scalar mesons below and above 1 gev presented by amir fariborz

Generalized Linear Sigma Model Framework:

The two chiral nonets are defined in terms of scalar and pseudoscalarnonets:

At the quark level:


Probing scalar mesons below and above 1 gev presented by amir fariborz

Lagrangian:


Probing scalar mesons below and above 1 gev presented by amir fariborz

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


Probing scalar mesons below and above 1 gev presented by amir fariborz

N=6

N=8

N=4

N=8

N=8

N=6

N=8


Probing scalar mesons below and above 1 gev presented by amir fariborz

Exp.

Inputs


Probing scalar mesons below and above 1 gev presented by amir fariborz

Inputs

Results:

Predictions

Receive corrections

due to the unitarization of

p pscattering amplitude


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


Probing scalar mesons below and above 1 gev presented by amir fariborz

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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