Interaction of the pseudoscalar glueball with (pseudo)scalar mesons and their first excited states

We study the interaction of the pseudoscalar glueball with scalar and pseudoscalar quarkantiquark meson fields as well as their first excited states. We introduce a corresponding chiral Lagrangian that describes the two- and three-body decays of a pseudoscalar glueball, J(PC) = 0(-+), with a mass of 2:6 GeV as predicted by lattice QCD simulations. We compute the decay of the pseudoscalar glueball into (pseudo)scalar and their excited states. The various branching ratios are parameters-free predictions. These states and channels are in reach of the ongoing BESIII, Belle II, LHCb, and NICA experiments and the upcoming PANDA experiment at the FAIR facility.