Measurements of branching fractions of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot$ and $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }$ and asymmetry parameters of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0$, $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot$, and $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }$

Abstract

We report a study of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0$, $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot$, and $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }$ using the data sample corresponding to an integrated luminosity of 980 $\mathrm{f}{\mathrm{b}}^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. The branching fractions relative to $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0$ are measured as: ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot }/{\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0}=0.25\pm 0.03\pm 0.01$ and ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }}/{\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0}=0.33\pm 0.06\pm 0.02$. Using ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0}=(1.25\pm 0.10)\%$, we obtain ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot }=(3.14\pm 0.35\pm 0.11\pm 0.25)\times 10^{-3}$ and ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }}=(4.16\pm 0.75\pm 0.21\pm 0.33)\times 10^{-3}$. Here the uncertainties are statistical, systematic, and from ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0}$, respectively. The ratio of the branching fraction of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }$ with respect to that of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot$ is measured to be ${\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }}/{\mathcal{B}}_{\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot }=1.34\pm 0.28\pm 0.06$. We update the asymmetry parameter of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\ddot{I}{€}^0$, $\hat{I}{\pm }_{\hat{I}{\pounds }^{+}\ddot{I}{€}^0}=-0.48\pm 0.02\pm 0.02$, with a considerably improved precision. The asymmetry parameters of $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}\cdot$ and $\hat{I}{›}_c^{+}\to \hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }$ are measured to be $\hat{I}{\pm }_{\hat{I}{\pounds }^{+}\hat{I}\cdot }=-0.99\pm 0.03\pm 0.05$ and $\hat{I}{\pm }_{\hat{I}{\pounds }^{+}\hat{I}{\cdot }^{\prime }}=-0.46\pm 0.06\pm 0.03$ for the first time.

12 pages, 8 figures; accepted for publication as a Regular Article in Physical Review D