Generalized Sigma Model Description of the Light J=0 Mesons

Details Generalized Sigma Model Description of the Light J=0 Mesons Generalized Sigma Model Description of the Light J=0 Mesons

2006-01-26

arxiv.org/abs/hep-ph/0601216v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at the 27th Annual MRST Conference, May 16-18, SUNYIT, Utica, NY

Scientific paper

Within a linear sigma model framework, possible mixing between two chiral nonets (a two quark nonet, and a four quark nonet) below 2 GeV is studied. Incorporating the U(1)$_A$ behavior of the underlying QCD, and working in the isospin invariant limit, the mass spectra of the I=0, $I=1/2$ and I=1 pseudoscalars, and the $I=1/2$ scalars are studied, and estimates of their quark content are presented. It is found, as expected, that the ordinary and the excited pseudoscalars generally have much less two and four quark admixtures compared to the respective scalars. As by-products, several quantities such as the four quark vacuum condensate, and the decay constant of excited states are predicted.

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