Decays τ → (η, η')K-ντ in the extended Nambu-Jona-Lasinio model

The decays tau -> (eta, eta')K-nu(tau) are described in the framework of the extended Nambu-Jona-Lasinio model. Both full and differential widths of these decays are calculated. The vector and scalar channels are considered. In the vector channel, the subprocesses with the intermediate K*(892) and K*(1410) mesons play the main role. In the scalar channel, the subprocesses with the intermediate and K (0) (*) (800) and K (0) (*) (1430) mesons are taken into account. The scalar channel gives an insignificant contribution to the full width of the decay tau -> eta K-nu(tau). The obtained results are in satisfactory agreement with the experimental data. The prediction for the width of the process tau -> eta'K-nu(tau) is made.