The $\tau \to \bar{K}^{0*}(892) \pi^{-}\nu_{\tau}$ decay taking into account the splitting of an intermediate ground-state axial-vector meson $K_{1A}$ into two physical states $K_1(1270)$ and $K_1(1400)$

The width of the $\tau \to \bar{K}^{0*}(892) \pi^{-}\nu_{\tau}$ decay has been calculated within the extended Nambu-Jona-Lasinio model taking into account intermediate axial-vector, vector, and pseudoscalar mesons in the ground and first radially excited states. The splitting of the axial-vector intermediate state $K_{1A}$ into two physical mesons $K_1(1270)$ and $K_1(1400)$ caused by the mixing of axial-vector strange mesons from the $^3P_1$ and $^1P_1$ nonets has also been taken into account. The results are in satisfactory agreement with experimental data.