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

Abstract

The decay constant of $K_0^{\ast }(1430)$ is the key quantity to determine the production rate of $K_0^{\ast }(1430)$ in $\tau$ decays. By assuming $K_0^{\ast }(1430)$ 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 $\tau \to K_0^{\ast }(1430)\nu$ 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 $K_0^{\ast }(1430)$.

Comments: 4 pages, Accepted for pubication in Mod. Phys. Lett. A