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We study a chiral Lagrangian that describes the two- and three-body decays of a pseudoscalar glueball into scalar and pseudoscalar mesons. The various branching ratios are a parameter-free prediction of our approach. We compute the decay channels for a pseudoscalar glueball with a mass of 2.6 GeV, as predicted by lattice QCD in the quenched approximation, which is in the reach of the PANDA experiment at the upcoming Facility for Antiproton and Ion Research. For completeness, we also repeat the calculation for a glueball mass of 2.37 GeV that corresponds to the mass of the resonance $X(2370)$ measured in the BESIII experiment.
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Eshraim et al. (2013) studied this question.
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