The decays $τ\rightarrow (K, K(1460))ν_τ$ and the value of the weak decay coefficients ${F}_{K}$ and ${{F}_{{K}^{'}}}$ in the extended NJL model

Abstract: In the extended NJL model, the decay widths of $\tau\rightarrow (K, K(1460))\nu_{\tau}$, $(K, K(1460))\rightarrow {\mu}\nu_{\mu}$ are calculated. The contributions from intermediate axial-vector mesons ${K}<em>{1}(1270)$, ${K}</em>{1}(1400)$ and the first radially excited state ${K}<em>{1}(1650)$ are taken into account. Estimates for the weak decay coefficients ${F}</em>{K}$ and ${{F}<em>{{K}<sup>{&#39;}}}$ are given. Predictions are made for the width of $\tau\rightarrow K(1460)\nu</em>{\tau}$ decay and ${{F}_{{K}<sup>{&#39;}}}$ constant.