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The ground-state (lightest) hybrid nonet with exotic quantum numbers$J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$build a homochiral multiplet involving left- and right-handed currents, whichunder chiral transformation change just as (axial-)vector mesons. Masses andinteractions of hybrids can be obtained in the context of the extended LinearSigma Model. Here, we concentrate on the decays oh hybrids into twopseudoscalar mesons, such as $\eta\pi$ and $\eta^{\prime}\pi$ modes. Indeed,$\pi_{1}(1400)\rightarrow\pi\eta$ and $\pi_{1}(1600)\rightarrow\pi\eta^{\prime}$ have been seen in experiments. Assuming that $\pi_{1}(1400)$ and$\pi_{1}(1600)$ correspond to the same state $\pi_{1}^{hyb}$, we show thatthese decays (and similar ones) follow from a chirally symmetric interactionterm that breaks explicitly the axial anomaly. In this respect, these decayswould be an additional manifestation of the axial (or chiral) anomaly in themesonic sector.

Chiral anomaly role in $\pi_{1}(1600)\rightarrow\pi\eta^{\prime}$