Measurements of the branching fractions of $\hat{I}{\cdot }_c\to K^{+}{K}^{-}\ddot{I}{€}^0$, $K_S^0{K}^{\pm }\ddot{I}{€}^{\mp }$,$2(\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)$, and $p\bar{p}$

Abstract

Using data samples collected with the BESIII detector at center-of-mass energies $\sqrt{s}=4.23,4.26,4.36,$ and $4.42$~\rm{GeV}, we measure the branching fractions of $\hat{I}{\cdot }_c\to K^{+}{K}^{-}\ddot{I}{€}^0$, $K_S^0{K}^{\pm }\ddot{I}{€}^{\mp }$, $2(\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)$, and $p\bar{p}$, via the process $e^{+}{e}^{-}\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}{h}_c$, $h_c\to {\hat{I}}^3\hat{I}{\cdot }_c$. The corresponding results are $(1.15\pm 0.12\pm 0.10)\%$, $(2.60\pm 0.21\pm 0.20)\%$, $(15.2\pm 1.8\pm 1.7)\%$, and $(0.120\pm 0.026\pm 0.015)\%$, respectively. Here the first uncertainties are statistical, and the second ones systematic. Additionally, the charged track multiplicity of $\hat{I}{\cdot }_c$ decays is measured for the first time.