Measurement of the Branching Fractions of the Decays Λ_c⁺→ Λk_s⁰k⁺, Λ_c⁺ → Λk_s⁰π⁺, and Λ_c⁺ → Λk*⁺

Studies are performed of the Cabibbo-favored decay Lambda(+)(c) -> Lambda(KSK+)-K-0 and the singly Cabibbosuppressed decay Lambda(+)(c) -> Lambda K-S(0)pi(+), based on a sample of e(+)e(-) collision data, corresponding to an integrated luminosity of 4.5 fb(-1), accumulated at center-of-mass energies between 4599.53 MeV and 4698.82 MeV with the BESIII detector. The decay Lambda(+)(c) -> Lambda K-S(0)pi(+) is observed for the first time. The branching fractions of Lambda(+)(c) -> Lambda(KSK+)-K-0 and Lambda(+)(c) -> Lambda K-S(0)pi(+) are measured to be (3.04 +/- 0.30 +/- 0.16) x 10(-3) and o1.73 +/- 0.27 +/- 0.10) x 10(-3), respectively, where the first uncertainties are statistical and the second are systematic. These results correspond to the most precise measurement of these quantities for both decays. Evidence of a K*(+) contribution in the Lambda(+)(c) -> Lambda K-S(0)pi(+) decay is found with a statistical significance of 4.71 sigma. The branching fraction of Lambda(+)(c) -> Lambda K*+ is calculated under three possible interference scenarios, with the significance increasing to 5.03 sigma when interference is taken into account.