eta - eta' - glueball mixing

TL;DR

This paper investigates the mixing of eta and eta' mesons with glueballs using the MIT bag model, finding very small mixing for eta and larger for eta', aligning with experimental data.

Contribution

It provides a revised calculation of glueball-meson mixing in the MIT bag model, highlighting differences from previous work due to the treatment of time integrations.

Findings

Eta mixing probability: 0.04-0.1%

Eta' mixing probability: 4-12%

Results agree with experimental analysis

Abstract

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.