$B_u$ $\to$ $\ddot{I}ˆM$ decays and $S$-$D$ wave mixing effects

Abstract

The $B_u$ $\to$ $\ddot{I}ˆM$ decays are studied with the perturbative QCD approach, where the psion $\ddot{I}ˆ$ $=$ $\ddot{I}ˆ(2S)$, $\ddot{I}ˆ(3770)$, $\ddot{I}ˆ(4040)$ and $\ddot{I}ˆ(4160)$, and the light meson $M$ $=$ $\ddot{I}€$, $K$, $\ddot{I}$ and $K^{\ast }$. The factorizable and nonfactorizable contributions, and the $S$-$D$ wave mixing effects on the psions are considered in the calculation. With appropriate inputs, the branching ratios for the $B_u$ $\to$ $\ddot{I}ˆK$ decays are generally coincident with the experimental data within errors. However, due to the large theoretical and experimental errors, it is impossible for the moment to give a severe constraint on the $S$-$D$ wave mixing angles.

revtex, 29 pages, 4 figures