Measurements of the branching fractions of the inclusive decays D 0 ( D + ) → π + π + π - X
Using e + e - annihilation data corresponding to an integrated luminosity of 2.93 fb -1 taken at a center-of-mass energy of 3.773 GeV with the BESIII detector, we report the first measurements of the branching fractions of the inclusive decays D 0 → π + π + π - X and D + → π + π + π - X, where pions from $K^0_S$ decays have been excluded from the → π + π + π - system and X denotes any possible particle combination. The branching fractions of D 0 (D + ) → π + π + π - X are determined to be B(D 0 → π + π + π - X) = (17.60 ± 0.11 ± 0.22)% and B(D + → π + π + π - X) = (15.25 ± 0.09 ± 0.18)%, where the first uncertainties are statistical and the second systematic.