Productions of $K_0^{\ast }(1430)$ and $K_1$ in B decays

Abstract

We study the productions of p-wave mesons $K_0^{\ast }(1430)$, $K_1(1270)$ and $K_1(1400)$ in B decays. By the generalized factorization approach, we find that the branching ratios of $B\to K_0^{\ast }(1430)\varphi$ are similar to those of $B\to K\varphi$ while the branching ratios of $B\to K_1(1270)\varphi$ and $B\to K_1(1400)\varphi$ are $O(10^{-5})$ and $O(10^{-6})$, respectively. In terms of the observation of $B\to K_1(1270)\gamma$ by BELLE, we can remove the sign ambiguity in the mixing angle for physical states $K_1(1270)$ and $K_1(1400)$. In addition, we analyze annihilation contributions in the decays $B\to K_1\varphi$ and we conclude that they could be neglected.

Comments: 13 pages, 4 tables, 2 figures, version to appear in Phys. Rev. D