[en] The structure of the wide resonance θ(1720) produced in J/ψ radiative decay is studied by using moment analysis. Since the f₂^'(1525) and θ(1720) resonances overlap in this mass region, two three-states coupling structure modes 2⁺⁺(f₂^'(1525)) + 0⁺⁺ + 0⁺⁺ and 2⁺⁺(f₂^'(1525)) + 0⁺⁺ + 2⁺⁺ are discussed. It is helpful to make clear the structure of the wide resonance θ(1720), and to determine masses, widths, spins and other important properties of the two resonance states, for example G(1590) and f₂(1720),in order to understand the two interesting states better