Search for the semi-leptonic decays Λ_c⁺→Λπ⁺π⁻e⁺ν_e and Λ_c⁺→pK_S⁰π⁻e⁺ν_e

We search for the semi-leptonic decays Λ_c⁺→Λπ⁺π⁻e⁺ν_e and Λ_c⁺→pK_S⁰π⁻e⁺ν_e in a sample of 4.5 fb⁻¹ of e⁺e⁻ annihilation data collected in the center-of-mass energy region between 4.600 GeV and 4.699 GeV by the BESIII detector at the BEPCII. No significant signals are observed, and the upper limits on the decay branching fractions are set to be B(Λ_c⁺→Λπ⁺π⁻e⁺ν_e)<3.9×10⁻⁴ and B(Λ_c⁺→pK_S⁰π⁻e⁺ν_e)<3.3×10⁻⁴ at the 90% confidence level, respectively.