Title

Low Energy Scattering with a Nontrivial Pion

Author(s)/Creator(s)

Joseph Schechter, Department of Physics, Syracuse University, Syracuse, NYFollow
Amir H. Fariborz, State University of New York Institute of Technology
Renata Jora, Syracuse University

Document Type

Article

Date

8-24-2007

Language

English

Disciplines

Physics

Description/Abstract

An earlier calculation in a generalized linear sigma model showed that the well-known current algebra formula for low energy pion pion scattering held even though the massless Nambu Goldstone pion contained a small admixture of a two-quark two-antiquark field. Here we turn on the pion mass and note that the current algebra formula no longer holds exactly. We discuss this small deviation and also study the effects of an SU(3) symmetric quark mass type term on the masses and mixings of the eight SU(3) multiplets in the model. We calculate the s wave scattering lengths, including the beyond current algebra theorem corrections due to the scalar mesons, and observe that the model can fit the data well. In the process, we uncover the way in which linear sigma models give controlled corrections (due to the presence of scalar mesons) to the current algebra scattering formula. Such a feature is commonly thought to exist only in the non-linear sigma model approach.

Additional Information

15 pages, 8 figures More information available at http://arxiv.org/abs/0708.3402

Recommended Citation

Schechter, Joseph; Fariborz, Amir H.; and Jora, Renata, "Low Energy Scattering with a Nontrivial Pion" (2007). Physics - All Scholarship. 262.
https://surface.syr.edu/phy/262

Source

Harvested from Arxiv.org

Creative Commons License

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