Search for the low-lying excited baryon Σ^*(1/2^-) through process Λ_c⁺ → ΛK⁰π⁺

Motivated by recent BESIII measurements of the singly Cabibbo-suppressed processes Λ_c⁺ → ΛK⁺π⁰ and Λ_c⁺ → ΛK_S⁰π⁺, we investigate the process Λ_c⁺ → ΛK⁰π⁺ by taking into account the contribution from the low-lying excited baryon Σ^*(1/2^-), dynamically generated via the S-wave pseudoscalar meson-octet baryon interaction, as well as from the intermediate resonances K^*(892) and N(1535). Our model successfully reproduces the BESIII π⁺K⁰ invariant mass distribution, and predicts a distinct cusp structure around 1.43 GeV in the π⁺Λ invariant mass distribution, which is associated with the predicted Σ^*(1/2^-). Future high-precise measurements of this process at BESIII, Belle II, and the proposed Super Tau-Charm Facility experiments will be crucial for testing the existence of Σ^*(1/2^-) and advancing our understanding of the light baryon spectrum.