Measurements of Absolute Branching Fractions of $D^0\to K_L^0\ddot{I}•$, $K_L^0\hat{I}\cdot$, $K_L^0\ddot{I}‰$, and $K_L^0\hat{I}{\cdot }^{\prime }$

Abstract

We report the first measurements of the absolute branching fractions of $D^0\to K_L^0\ddot{I}•$, $D^0\to K_L^0\hat{I}\cdot$, $D^0\to K_L^0\ddot{I}‰$, and $D^0\to K_L^0\hat{I}{\cdot }^{\prime }$, obtained by analyzing $2.93\mathrm{f}{\mathrm{b}}^{-1}$ of $e^{+}{e}^{-}$ collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector. Taking the world averages of the branching fractions of $D^0\to K_S^0\ddot{I}•$, $D^0\to K_S^0\hat{I}\cdot$, $D^0\to K_S^0\ddot{I}‰$, and $D^0\to K_S^0\hat{I}{\cdot }^{\prime }$, the $K_S^0$-$K_L^0$ asymmetry $\mathcal{R}(D^0)$ in these decay modes are obtained. The CP asymmetries in these decays are also determined. No significant $CP$ violation is observed.

5 pages, 2 figures