Measurements of the branching fractions of $\ddot{I}{‡}_{cJ}\to \ddot{I}•\ddot{I}•\hat{I}\cdot ,\ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime }$ and $\ddot{I}•K^{+}{K}^{-}\hat{I}\cdot$

Abstract

Using a sample of $(2712.4\pm 14.3)\times 10^6\ddot{I}ˆ$(3686) events collected by the BESIII detector at the BEPCII collider, we measure the branching fractions of the decays $\ddot{I}{‡}_{cJ}\to \ddot{I}•\ddot{I}•\hat{I}\cdot ,\ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime }$, and~$\ddot{I}•K^{+}{K}^{-}\hat{I}\cdot$ ($J=0,1,2$). The obtained branching fractions are $\mathcal{B}(\ddot{I}{‡}_{c0}\to \ddot{I}•\ddot{I}•\hat{I}\cdot )=(7.40\pm 0.23\pm 0.55)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c1}\to \ddot{I}•\ddot{I}•\hat{I}\cdot )=(3.33\pm 0.14\pm 0.25)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c2}\to \ddot{I}•\ddot{I}•\hat{I}\cdot )=(5.46\pm 0.17\pm 0.40)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c0}\to \ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime })=(2.96\pm 0.23\pm 0.29)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c1}\to \ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime })=(0.69\pm 0.10\pm 0.08)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c2}\to \ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime })=(0.65\pm 0.09\pm 0.07)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c0}\to \ddot{I}•K^{+}{K}^{-}\hat{I}\cdot )=(1.23\pm 0.08\pm 0.10)\times 10^{-4}$, $\mathcal{B}(\ddot{I}{‡}_{c1}\to \ddot{I}•K^{+}{K}^{-}\hat{I}\cdot )=(1.00\pm 0.07\pm 0.07)\times 10^{-4}$, and $\mathcal{B}(\ddot{I}{‡}_{c2}\to \ddot{I}•K^{+}{K}^{-}\hat{I}\cdot )=(1.82\pm 0.09\pm 0.14)\times 10^{-4}$, where $K^{+}{K}^{-}$ is not from the decay of a $\ddot{I}•$ meson, the first uncertainties are statistical and the second systematic. The branching fractions of $\ddot{I}{‡}_{cJ}\to \ddot{I}•\ddot{I}•\hat{I}\cdot$ are measured with precision improved by factors of $1.5-1.9$, and those of $\ddot{I}{‡}_{cJ}\to \ddot{I}•\ddot{I}•\hat{I}{\cdot }^{\prime }$ and $\ddot{I}•K^{+}{K}^{-}\hat{I}\cdot$ are measured for the first time.

12 pages, 8 figures, 3 tables