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In this paper, I report the preliminary results of the strong phasedifference $\cos\delta_{K\pi}$ between the doubly Cabibbo-suppressed process$\overline{D}{}^0\to K^- \pi^+$ and Cabibbo-favored $D^0\to K^- \pi^+$ atBESIII. In addition, the preliminary results of the $D^0$-$\overline{D}{}^0$mixing parameter $y_\mathrm{CP}$ by analyzing $CP$-tagged semileptonic $D$decays are presented. These measurements were carried out based on thequantum-correlated technique in studying the process of $D^0\overline{D}{}^0$pair productions of 2.92 fb$^{-1}$ $e^+e^-$ collision data collected with theBESIII detector at $\sqrt{s}$ = 3.773 GeV.

Measurements of strong phase in $D^0\to K\pi$ decay and $y_\mathrm{CP}$ at BESIII