Decays $\tau \rightarrow 3K \nu _\tau$ in the $U(3)\times U(3)$ quark NJL model

Abstract

The widths of the decays $\tau \rightarrow K^- K^+ K^- \nu _\tau$ and $\tau \rightarrow K^- K^0 \bar{K}^0 \nu _\tau$ are calculated in the $U(3)\times U(3)$ chiral quark NJL model. Four channels are considered: contact, axial vector, vector, and pseudoscalar channels. It is shown that the dominant contribution is given by the axial vector channel with an intermediate $\phi$ meson. The results obtained are in satisfactory agreement with the experimental data.