Observation of D → a 0 ( 980 ) π in the decays D 0 → π + π − η and D + → π + π 0 η
We report the first amplitude analyses of the decays D 0 → π + π − η and D + → π + π 0 η using a data sample taken with the BESIII detector at the center-of-mass energy of 3773 MeV, corresponding to an integrated luminosity of 7.9 fb − 1 . The contribution from the process D 0 ( + ) → a 0 ( 980 ) + π − ( 0 ) is significantly larger than the D 0 ( + ) → a 0 ( 980 ) − ( 0 ) π + contribution. The ratios B ( D 0 → a 0 ( 980 ) + π − ) / B ( D 0 → a 0 ( 980 ) − π + ) and B ( D + → a 0 ( 980 ) + π 0 ) / B ( D + → a 0 ( 980 ) 0 π + ) are measured to be 7.5 − 0.8 stat + 2.5 ± 1.7 syst and 2.6 ± 0.6 stat ± 0.3 syst , respectively. The measured D 0 ratio disagrees with the theoretical predictions by orders of magnitudes, thus implying a substantial contribution from final-state interactions. Published by the American Physical Society 2024