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

arXiv comment13 pages, 10 figures

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• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• An optimized basis for hadronic light-by-light scattering
• Dispersion relations for the hadronic VVA correlator
• Search for direct production of the $f_1(1285)$ resonance in $e^{+}{e}^{-}$ collisions
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
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• $G$-parity violating amplitudes in the $J/\psi \to {\pi }^{+}{\pi }^{-}$ decay