Physical Review Letters, vol.124, no.24, 2020 (SCI-Expanded)
© 2020 authors. Published by the American Physical Society.Using 2.93 fb-1 of e+e-collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector, we report the first measurements of the absolute branching fractions of 14 hadronic D0(+) decays to exclusive final states with an η, e.g., D0→K-π+η, KS0π0η, K+K-η, KS0KS0η, K-π+π0η, KS0π+π-η, KS0π0π0η, and π+π-π0η; D+→KS0π+η, KS0K+η, K-π+π+η, KS0π+π0η, π+π+π-η, and π+π0π0η. Among these decays, the D0→K-π+η and D+→KS0π+η decays have the largest branching fractions, which are B(D0→K-π+η)=(1.853±0.025stat±0.031syst)% and B(D+→KS0π+η)=(1.309±0.037stat±0.031syst)%, respectively. The charge-parity asymmetries for the six decays with highest event yields are determined, and no statistically significant charge-parity violation is found.