Study of $K_0^{\ast }(1430)$ and $a_0(980)$ from $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ Decays

Abstract

We use the decay modes $B\to K_0^{\ast }(1430)\pi$ and $B\to a_0(980)K$ to study the scalar mesons $K_0^{\ast }(1430)$ and $a_0(980)$ within perturbative QCD framework. For $B\to K_0^{\ast }(1430)\pi$, we perform our calculation in two scenarios of the scalar meson spectrum. The results indicate that scenario II is more favored by experimental data than scenario I. The important contribution from annihilation diagrams can enhance the branching ratios about 50% in scenario I, and about 30% in scenario II. The predicted branching ratio of $B\to a_0(980)K$ in scenario I is also less favored by the experiments. The direct CP asymmetries in $B\to K_0^{\ast }(1430)\pi$ are small, which are consistent with the present experiments.

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