Measurements of the $CP$-even fractions of $D^0\to\pi^{+}\pi^{-}\pi^{0}$
and $D^0\to K^{+}K^{-}\pi^{0}$ at BESIII
Measurements of the $CP$-even fractions of $D^0\to\pi^{+}\pi^{-}\pi^{0}$
and $D^0\to K^{+}K^{-}\pi^{0}$ at BESIII
The $CP$-even fractions ($F_{+}$) of the decays $D^0\to\pi^{+}\pi^{-}\pi^{0}$ and $D^0\to K^{+}K^{-}\pi^{0}$ are measured with a quantum-correlated $\psi(3770)\to D\bar{D}$ data sample collected by the BESIII experiment corresponding to an integrated luminosity of 7.93 $\mathrm{fb}^{-1}$. The results are $F_{+}^{\pi^{+}\pi^{-}\pi^{0}}=0.9406\pm0.0036\pm0.0021$ and $F_{+}^{K^{+}K^{-}\pi^{0}}=0.631\pm0.014\pm0.011$, where the first uncertainties are statistical and the second systematic. These …