## What is/are Resonance Contributions?

Resonance Contributions - The dynamics of the J PC = 0-+ ,0++ , and 2++ resonance contributions to the decay is analysed using the data obtained by BESIII collaboration.^{[1]}Under the factorization framework, we adopt two-meson light-cone distribution amplitudes, whose normalization is parametrized by the S-wave time-like two-pion form factor with the resonance contributions from $f_0(500)$, $f_0(980),f_0(1500),f_0(1790)$.

^{[2]}The dynamics of the $J^{PC}=0^{-+}$, $0^{++}$, and $2^{++}$ resonance contributions to the decay $J/\psi\to\gamma X(J^{PC})\to\gamma\phi\phi$ is analysed using the data obtained by BESIII collaboration.

^{[3]}In particular, we show how to describe these fluctuations in the effective theory by massive (axial-)vector fields in agreement with the known structure of analogous single-particle or resonance contributions to the corresponding conserved currents.

^{[4]}For the normal polarization of the target, the spin asymmetry is given by the interference between the resonance and the nonresonance contributions.

^{[5]}