Abstract
We propose a systematic procedure to study a generalized linear sigma model which can give a physical picture of possible mixing between qq and qqq 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.
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