We have revisited glueball mixing with the pseudoscalar mesons in the MIT bag model scheme. The calculation has been performed in the spherical cavity approximation to the bag using two different fermion propagators, the cavity and the free propagators. We obtain a very small probability of mixing for the eta at the level of $0.04-0.1% and a bigger for the eta' at the level of 4-12%. Our results differ from previous calculations in the same scheme but seem to agree with the experimental analysis. We discuss the origin of our difference which stems from the treatment of our time integrations.

We are grateful to V. Mathieu for interesting discussions. SK thanks the Departamento de Física Teórica of Valencia for the hospitality and Prof. Kunz-Drolshagen for giving him the opportunity to work there. This work was supported in part by HadronPhysics2, a FP7-Integrating Activities and Infrastructure Program of the European Commission under Grant 227431, by the MICINN (Spain) grant FPA2007-65748-C02-1 and by GVPrometeo2009/129. The diagrams have been drawn using Jaxodraw.

Peer reviewed