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Using an e+e− collision data sample with a total integrated luminosity of 3.19 fb−1 collected with the BESIII detector at a center-of-mass energy of 4.178 GeV, the branching fraction of the inclusive decay of the D+s meson to final states including at least three charged pions is measured for the first time to be B(D+s→π+π+π−X)=(32.81±0.35stat±0.82syst)%. In this measurement the charged pions from K0S meson decays are excluded. The partial branching fractions of D+s→π+π+π−X are also measured as a function of the π+π+π− invariant mass.
With the data samples taken at center-of-mass energies from 2.00 to 3.08 GeV with the BESIII detector at the BEPCII collider, a partial wave analysis on the e+e−→π+π−π0 process is performed. The Born cross sections for e+e−→π+π−π0 and its intermediate processes e+e−→ρπ and ρ(1450)π are measured as functions of s√. The results for e+e−→π+π−π0 are consistent with previous results measured with the initial state radiation method within one standard deviation, and improve the uncertainty by a factor of ten. By fitting the line shapes of the Born cross sections for the e+e−→ρπ and ρ(1450)π, a structure with mass M=2119±11±15 MeV/c2 and width Γ=69±30±5MeV is observed with a significance of 5.9σ, where the first uncertainties are statistical and the second ones are systematic. This structure can be intepreteted as an excited ω state.