We calculate the coupling constants of the decay modes 1 −+ → ρπ, f 1 π, b 1 π, ηπ, η π, a 1 π, f 1 η within the framework of the light-cone QCD sum rule. Then we calculate the partial widths of these decay channels, which differ greatly from the existing calculations using phenomenological models. For the isovector 1 −+ state, the dominant decay modes are ρπ, f 1 π. For its isoscalar partner, its dominant decay mode is a 1 π. We also discuss the possible search of the 1 −+ state at BESIII, for

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... example through the decay chains J/ψ(ψ ) → π 1 + γ or J/ψ(ψ ) → π 1 + ρ where π 1 can be reconstructed through the decay modes π 1 → ρπ → π + π − π 0 or π 1 → f 1 (1285)π 0 . Hopefully the present work will be helpful to the experimental establishment of the 1 −+ hybrid meson. a