  We study the role of the scalar resonances f0(1370), f0(1500) and f0(1710) in
the strong and radiative three-body decays of J/psi with J/psi to V + P P
(gamma gamma) and J/psi to gamma + P P (V V), where P (V) denotes a
pseudoscalar (vector) meson. We assume that the scalars result from a
glueball-quarkonium mixing scheme while the dynamics of the transition process
is described in an effective chiral Lagrangian approach. Present data on J/psi
to V + P P are well reproduced, predictions for the radiative processes serve
as further tests of this scenario.
