$f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions

The width of the $f_1(1285)\to e^{+}{e}^{-}$ decay is calculated in the vector meson dominance model. The result depends on the relative phase between two coupling constants describing $f_1\to {\rho }^0\gamma$ decay. The width $\Gamma (f_1 \to e^+e^-)$isestimatedtobe$\simeq 0.07-0.19$eV\mathrm{.}Direct$f_1$productionin$e^+e^-$collisionsisdiscussed,andthe$e^+e^- \to f_1\to a_0 \pi \to \eta \pi \pi$crosssectioniscalculated\mathrm{.}Chargeasymmetryinthe$e^+e^- \to \eta \pi^+ \pi^-$reactionduetointerferencebetween$e^+e^- \to f_1$and$e^+e^- \to \eta \rho^0$ amplitudes is studied.