P. Agbakpe, W. Buck (Hampton University), A. Afanasev (N.C. Central University)

In most of the Nambu-Jona-Lasinio (NJL)-type models, realizing the hidden Chiral Symmmetry, the existence of a scalar particle sigma is needed with a mass around twice the mass of the constituent quarks, as a partner of the Nambu-Goldstone boson pion. However, the results of many analyses on pi-pi phase-shift thus far made have been negative for its existence.

The sigma is also required in the description of the nucleon-nucleon interaction. We want to understand how it can be described by quarks. The approach is to use coupled Bethe-Salpeter (BS), Schwinger-Dyson (SD) equations and separable interactions between the quarks. This approach has been proved to be efficient in describing the electro-weak properties of light pseudoscalar mesons.

In this paper, we report on work performed on the transition sigma---->qqbar to sigma---->pi-pi at the quark level.

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