Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-01-16
Phys.Rev.D77:094004,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
reference added, minor typos corrected
Scientific paper
10.1103/PhysRevD.77.094004
It is well known that the instanton approach to QCD generates an effective term which looks like a three flavor determinant of quark bilinears. This has the right behavior to explain the unusual mass and mixing of the $\eta(958)$ meson, as is often simply illustrated with the aid of a linear SU(3) sigma model. It is less well known that the instanton analysis generates another term which has the same transformation property but does not have a simple interpretation in terms of this usual linear sigma model. Here we point out that this term has an interpretation in a generalized linear sigma model containing two chiral nonets. The second chiral nonet is taken to correspond to mesons having two quarks and two antiquarks in their makeup. The generalized model seems to be useful for learning about the spectrum of low lying scalar mesons which have been emerging in the last few years. The physics of the new term is shown to be related to the properties of an "excited" $\eta'$ state present in the generalized model and for which there are some experimental candidates.
Fariborz Amir H.
Jora Renata
Schechter Joseph
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