Document Type

Article

Date

12-15-2006

Language

English

Disciplines

Physics

Description/Abstract

We propose a systematic procedure to study a generalized linear sigma model which can give a physical picture of possible mixing between q{\bar q} and qq{\bar q}{\bar q} low lying spin zero states. In the limit of zero quark masses, we derive the model independent results for the properties of the Nambu Goldstone pseudoscalar particles. For getting information on the scalars it is necessary to make a specific choice of terms. We impose two plausible physical criteria - the modeling of the axial anomaly and the suppression of effective vertices representing too many fermion lines - for limiting the large number of terms which are allowed on general grounds. We calculate the tree-level spectrum based on the leading terms in our approach and find that it prominently exhibits a very low mass isosinglet scalar state. Finally we point out that the low energy result for scattering of pions continues to hold in the general version of the model.

Additional Information

4 pages, 1 figure More information available at http://arxiv.org/abs/hep-ph/0612200

Source

Harvested from Arxiv.org

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

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