The model of the $χ_{c_i}-γ^*-γ^*$ and $χ_{c_i}-J/ψ^*-γ^*$ form factors developed in [1] for $χ_{c_1}$ and $χ_{c_2}$ is extended to $χ_{c_0}$ case. The studies performed within this model have shown that at BELLE II it will be possible to study in detail $χ_{c_i}-γ^*-γ$ form factors through measurements of the reaction $e^+e^-\to e^+e^- χ_{c_i} (\to J/ψ(\to μ^+μ^-)γ)$.The results were obtained using the newly updated Monte Carlo generator EKHARA.