$f_1(1285)\to e^{+}{e}^{-}$ 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.

13 pages, 10 figures

References in corpus (6)

• On the radiative decays of light vector and axial-vector mesons
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section in the center-of-mass energy range 1.22--2.00 GeV with the SND detector at the VEPP-2000 collider
• Direct X(3872) production in e+e- collisions
• Search for the process $e^{+}{e}^{-}\to {\eta }^{\prime }(958)$ with the CMD-3 detector
• Exclusive photoproduction of $f_1(1285)$ meson off proton in the JLab kinematics
• Search for the ${\eta }^{\prime }\to e^{+}{e}^{-}$ decay with the SND detector

Cited by in corpus (2)

• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• An optimized basis for hadronic light-by-light scattering