The perspectives of decoding the nature of the a0(980) and f0(980) mesons and of defining the relative phase between the three-gluon and one-photon amplitudes in the J/psi decays

It is argued that the search of the J/psi --> f0(980)omega and J/psi --> a0(980)rho decays and the more precise definition of B(J/psi --> f0(980)phi) are the urgent purposes in the J/\psi spectroscopy. It is shown that the study of the omega-rho0 interference pattern in the J/psi --> (\rho^0+\omega)eta --> pi+pi-eta decay provides evidence for the large (nearly pi/2) relative phase between the isovector one-photon and three-gluon decay amplitudes .