Title

Chiral Nonet Mixing in pi pi Scattering

Author(s)/Creator(s)

Joseph Schechter, Syracuse UniversityFollow
Amir H. Fariborz, State University of New York Institute of Technology
Renata Jora, Universitat Autonoma de Barcelona
M. Naeem Shahid, Syracuse UniversityFollow

Document Type

Article

Date

6-22-2011

Language

English

Disciplines

Physics

Description/Abstract

Pion pion scattering is studied in a generalized linear sigma model which contains two scalar nonets (one of quark-antiquark type and the other of diquark-antidiquark type) and two corresponding pseudoscalar nonets. An interesting feature concerns the mixing of the four isosinglet scalar mesons which yield poles in the scattering amplitude. Some realism is introduced by enforcing exact unitarity via the K-matrix method. It is shown that a reasonable agreement with experimental data is obtained up to about 1 GeV. The poles in the unitarized scattering amplitude are studied in some detail. The lowest pole clearly represents the sigma meson (or f0(600)) with a mass and decay width around 500 MeV. The second pole invites comparison with the f0(980) which has a mass around 1 GeV and decay width around 100 MeV. The third and fourth poles, resemble some of the isosinglet state in the complicated 1-2 GeV region. Some comparison is made to the situation in the usual SU(3) linear sigma model with a single scalar nonet.

Additional Information

More information available at http://arxiv.org/abs/1106.4538

Recommended Citation

Schechter, Joseph; Fariborz, Amir H.; Jora, Renata; and Shahid, M. Naeem, "Chiral Nonet Mixing in pi pi Scattering" (2011). Physics - All Scholarship. 248.
https://surface.syr.edu/phy/248

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.