Inclusive and exclusive measurements of $B$ decays to $\ddot{I}{‡}_{c1}$ and $\ddot{I}{‡}_{c2}$ at Belle

Abstract

We report inclusive and exclusive measurements for $\ddot{I}{‡}_{c1}$ and $\ddot{I}{‡}_{c2}$ production in $B$ decays. We measure $\mathcal{B}(B\to \ddot{I}{‡}_{c1}X)$= $(3.03 \pm 0.05(\mbox{stat}) \pm 0.24(\mbox{syst})) \times 10^{-3}$ and $\mathcal{B}(B\to \ddot{I}{‡}_{c2}X)$= $(0.70 \pm 0.06(\mbox{stat}) \pm 0.10(\mbox{syst})) \times 10^{-3}$. For the first time, $\ddot{I}{‡}_{c2}$ production in exclusive $B$ decays in the modes $B^0\to \ddot{I}{‡}_{c2}\ddot{I}{€}^{-}{K}^{+}$ and $B^{+}\to \ddot{I}{‡}_{c2}\ddot{I}{€}^{+}\ddot{I}{€}^{-}{K}^{+}$ has been observed, along with first evidence for the $B^{+}\to \ddot{I}{‡}_{c2}\ddot{I}{€}^{+}{K}_S^0$ decay mode. For $\ddot{I}{‡}_{c1}$ production, we report the first observation in the $B^{+}\to \ddot{I}{‡}_{c1}\ddot{I}{€}^{+}\ddot{I}{€}^{-}{K}^{+}$, $B^0\to \ddot{I}{‡}_{c1}\ddot{I}{€}^{+}\ddot{I}{€}^{-}{K}_S^0$ and $B^0\to \ddot{I}{‡}_{c1}\ddot{I}{€}^0\ddot{I}{€}^{-}{K}^{+}$ decay modes. Using these decay modes, we observe a difference in the production mechanism of $\ddot{I}{‡}_{c2}$ in comparison to $\ddot{I}{‡}_{c1}$ in $B$ decays. In addition, we report searches for $X(3872)$ and $\ddot{I}{‡}_{c1}(2P)$ in the $B^{+}\to (\ddot{I}{‡}_{c1}\ddot{I}{€}^{+}\ddot{I}{€}^{-})K^{+}$ decay mode. The reported results use $772\times 10^6$ $B\overline{B}$ events collected at the $\hat{I}\yen (4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider.

14 Pages, 8 Figures,4 Tables; Published in PRD 93, 052016 (2016)