Testing the Structure of the Scalar Meson $K_0^*(1430)$ in $\tau\to K_0^*(1430)\nu$ Decay

Abstract

The decay constant of $K_0^*(1430)$ is the key quantity to determine the production rate of $K_0^*(1430)$ in $\tau$ decays. By assuming $K_0^*(1430)$ is the lowest scalar bound state of $s\bar{q}$, the decay constant can be calculated reliably in QCD sum rule. Then the decay branching ratio of $\tau\to K_0^*(1430)\nu$ is predicted to be about $(7.9\pm 3.1)\times 10^{-5}$. If this branching ratio can be measured by experiment, it should be helpful to make clear the structure of $K_0^*(1430)$.