Electromagnetic axial anomaly in a generalized linear sigma model

Abstract

We construct the electromagnetic anomaly effective term for a generalized linear sigma model with two chiral nonets, one with a quark-antiquark structure, the other one with a four quark content. We compute in the leading order of this framework the decays into two photons of six pseudoscalars: ${\pi }_0(137)$, ${\pi }_0(1300)$, $\eta (547)$, $\eta (958)$, $\eta (1295)$ and $\eta (1760)$. Our results agree well with the available experimental data.

15 pages; version to be published in Phys. Rev. D

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Cited by in corpus (5)

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• Generalized linear sigma model with two glueballs
• Mixing among lowest-lying scalar mesons and scalar glueball
• Spinless mesons and glueballs mixing patterns in SU(3) flavor limit
• Quark and glue spectroscopy of scalars and pseudoscalars in SU(3) flavor limit