Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
We study the $ρπ$ and $b_1π$ decay modes of the $1^{-+}$ light hybrid state within the framework of light-cone QCD sum rules. We use both the tensor current $\barψσ_{μν}ψ$ and the derivative current $\barψ\overleftrightarrow{D}_μγ_5ψ$ as interpolating currents to calculate the partial decay width of the $b_1π$ decay mode. Comparing the sum rules obtained by using different currents, we obtain $Γ(π_1\to b_1π)$ = 8--23, 32--86 and 52--151\,MeV for $m_{1^{-+}}$ = 1.6, 1.8 and 2.0\,GeV respectively, which favour the results from the flux tube models and lattice simulations. We also use the tensor current to study the $ρπ$ decay mode, and although an extended stability criterion is needed, our results suggest a small partial decay width.
hep-ph↗