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The dynamics of the $J^{PC}=0^{-+}$, $0^{++}$, and $2^{++}$ resonancecontributions to the decay $J/\psi\to\gamma X(J^{PC})\to\gamma\phi\phi$ isanalysed using the data obtained by BESIII collaboration. The effectivecoupling constants parameterising invariant amplitudes of the transitions$J/\psi\to\gamma X(J^{PC})$ and $X(J^{PC})\to\phi\phi$ and masses of$X(J^{PC})$ resonances are found from the fits. They are used for evaluation ofthe branching fractions $B_{X(J^{PC})\to\phi\phi}$, relative branchingfractions $B_{J/\psi\to\gamma X(J^{PC})\to\gamma\phi\phi}$, and for obtainingthe photon angular distributions.

Dynamical analysis of the $X$ resonance contributions to the decay $J/\psi\to\gamma X\to\gamma\phi\phi$