Amplitude analyses of multi-body hadronic D+ (s) decays at BESIII

Using e +e − annihilation data corresponding to a total integrated luminosity of 6.32 fb−1 and 2.93 fb−1 collected at the center-of-mass energies 4.178-4.226 GeV and 3.773 GeV with the BESIII detector, we have performed amplitude analyses of the decays D + s → K− K+ π+, D + s → K0 Sπ+π0 , D + s → K0 SK−π+π+, D + s → K+K−π+ π0 , D + s → ηπ+ π+ π−, and D+ → K0 SK+π0 . We present the results based on these amplitude analyses where rich structures have been observed. In addition, we also report observations of some new hadronic D + (s) decay modes D + s → K0 ρ(770)+, D + s → K∗ (892)0π +, D + s → K∗ (892)+π0 , and D + (s) → a0(980)+ρ 0 and the determinations of their decay branching fractions which are 5.46±0.84stat. ±0.44syst. ×10−3 , 2.71±0.72stat. ±0.30syst. ×10−3 , 0.75±0.24stat. ±0.06syst. ×10−3 , and 0.21 ± 0.08stat. ± 0.05syst.%