Based on e + e − collision samples corresponding to an integrated luminosity of 4.4 fb −1 collected with the BESIII detector at center-of-mass energies between 4.6 GeV and 4.7 GeV, a partial wave analysis of the charmed baryon hadronic decay Λ + c → Λπ + π 0 is performed, and the decays Λ + c → Λρ(770) + and Λ + c → Σ(1385)π are studied for the first time. Making use of the world-average branching fraction B(Λ + c → Λπ + π 0 ), their branching fractions are determined to bewhere the first uncertainties are statistical, the second are systematic, and the third are from the uncertainties of the branching fractions B(Λ + c → Λπ + π 0 ) and B(Σ(1385) → Λπ). In addition, amplitudes determined from the partial wave analysis, the decay asymmetry parameters are measured to be α Λρ(770) + = −0.763 ± 0.053 ± 0.039, α Σ(1385) + π 0 = −0.917 ± 0.069 ± 0.046, and α Σ(1385) 0 π + = −0.789 ± 0.098 ± 0.056.Keywords: e + e − collision, Charmed baryon hadronic decay, Partial wave analysis ArXiv ePrint: 00000.00000 Contents 1 Introduction 1 2 BESIII experiment and Monte Carlo simulation 3 3 Event selection 5 4 Partial wave analysis 6 4.1 Helicity angle definitions 8 4.2 Helicity amplitude 10 4.3 Likelihood function construction and fit fraction 12 4.4 Nominal fit results 13 4.5 Decay asymmetry parameters 13 5 Systematic uncertainties 19 6 Summary 21The BESIII collaboration 27 [7] LHCb Collaboration, Precision measurement of the Λ + c , Ξ + c , and Ξ 0 c baryon lifetimes, Phys. Rev. D 100 (2019) 032001.[8] LHCb Collaboration, Measurement of the lifetimes of promptly produced Ω 0