Decays of $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ in the extended Nambu - Jona- Lasinio model

Abstract

In the extended Nambu - Jona - Lasinio model the decay widths $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ are studied in the quark one -loop approximation. Our estimations of the decay widths $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ are in satisfactory agreement with experimantal data. In the paper, the decay widths $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ are also calculated.

Comments: 7 pages, 2 figures