$\eta(1475)$ and $f_1(1420)$ resonances in the decay processes $J/\psi\to\gamma(\rho\rho,\gamma\rho^0,\gamma\phi)$ and in $\gamma\gamma^*$ collisions

A scenario that removes the contradiction between the suppression of the $\eta(1475)\to\gamma \gamma$ decay width and the strong coupling of $\eta(1475)$ to the $\rho\rho$, $\omega\omega$ and $\gamma\rho^0$ channels and which leads to a nontrivial prediction for the manifestation of $\eta(1475)$ in $\gamma\gamma^*(Q^2)$ collisions is considered. Data on the dependence of the cross section for the reaction $\gamma\gamma^*(Q^2)\to K\bar K\pi$ on the photon virtuality in the energy range $1.35$–$1.55$ GeV are explained here by the production of an $\eta(1475)$ resonance in contrast to their standard interpretation in terms of the $f_1 (1420)$ resonance. Experimental verification of the present explanation requires determining the spin-parity of resonance contributions, $R$, in the reactions $\gamma\gamma^*(Q^2)\to R\to K\bar K\pi$ and $J/\psi\to\gamma R\to\gamma(\gamma\rho^0,\gamma\phi)$.