Title

Putative Light Scalar Nonet

Author(s)/Creator(s)

Joseph Schechter, Department of Physics, Syracuse University, Syracuse, NYFollow
Deirdre Black, Syracuse UniversityFollow
Amir H. Fariborz, Syracuse University
Francesco Sannino, Yale UniversityFollow

Document Type

Article

Date

8-25-1998

Language

English

Disciplines

Physics

Description/Abstract

We investigate the "family" relationship of a possible scalar nonet composed of the a_0(980), the f_0(980) and the \sigma and \kappa type states found in recent treatments of \pi\pi and \pi K scattering. We work in the effective Lagrangian framework, starting from terms which yield "ideal mixing" according to Okubo's original formulation. It is noted that there is another solution corresponding to dual ideal mixing which agrees with Jaffe's picture of scalars as qq\bar q \bar q states rather than as q\bar q states. At the Lagrangian level there is no difference in the formulation of the two cases (other than the numerical values of the coefficients). In order to agree with experiment, additional mass and coupling terms which break ideal mixing are included. The resulting model turns out to be closer to dual ideal mixing than to conventional ideal mixing; the scalar mixing angle is roughly -17 degrees in a convention where dual ideal mixing is 0 degrees.

Additional Information

24 pages, 3 figures More information available at http://arxiv.org/abs/hep-ph/9808415

Recommended Citation

Schechter, Joseph; Black, Deirdre; Fariborz, Amir H.; and Sannino, Francesco, "Putative Light Scalar Nonet" (1998). Physics - All Scholarship. 296.
https://surface.syr.edu/phy/296

Source

Harvested from Arxiv.org

Creative Commons License

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