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

Abstract

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 $\Gamma (f_1\to e^{+}{e}^{-})$ is estimated to be $\simeq 0.07-0.19$ eV. Direct $f_1$ production in $e^{+}{e}^{-}$ collisions is discussed, and the $e^{+}{e}^{-}\to f_1\to a_0\pi \to \eta \pi \pi$ cross section is calculated. Charge asymmetry in the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ reaction due to interference between $e^{+}{e}^{-}\to f_1$ and $e^{+}{e}^{-}\to \eta {\rho }^0$ amplitudes is studied.

Comments: 13 pages, 10 figures