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In the extended Nambu -- Jona-Lasinio model, the decay width of $\tau \toK^{*0}(892) K^- \nu_{\tau}$ is calculated. The contributions from the contactdiagram and diagrams with intermediate axial-vector, vector and pseudoscalarmesons in the ground and first radially excited states are taken into account.It is shown that axial-vector and vector channel with a contact diagram give adominant contribution to the decay width. The obtained results for the decaywidth $\tau \to K^{*0}(892) K^- \nu_{\tau}$ are in satisfactory agreement withexperimental data. A prediction for differential distribution over theinvariant mass of the meson pair $K^{*0}(892) K^-$ is given.

The decay $\tau \to K^{*0}(892) K^- \nu_{\tau}$ in the extended NJL model