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

Introduction

Generalized linear sigma model framework

Results

Summary & future works



Mass Island

1 GeV


Mass Island

Mixing mechanism for scalar mesons below and above 1 GeV

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

1 GeV


Generalized Linear Sigma Model Framework: Island

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

At the quark level:


Lagrangian Island :


N=6 Island

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


N=6 Island

N=8

N=4

N=8

N=8

N=6

N=8


Exp. Island

Inputs


Inputs Island

Results:

Predictions

Receive corrections

due to the unitarization of

p pscattering amplitude


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


Summary: Island

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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