Theoretical study of $N(1535)$ and Σ^*(1/2⁻) in the Cabibbo-favored process Λc⁺ → p K̄⁰η

Motivated by the recent experimental measurements, we have investigated the Cabibbo-favored process Λc⁺ → p K̄⁰η, where the $N(1535)$ resonance is dynamically generated from the S-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach. The contributions from the intermediate $N(1650)$ and the predicted low-lying baryon Σ^*(1/2⁻) are also considered. In addition, a Breit-Wigner amplitude for the $N(1535)$ resonance is checked. By comparing with the measured η p, K̄⁰ η, and p K̄⁰ invariant mass squared distributions, our results support the interpretation of $N(1535)$ as a dynamically generated state. Furthermore, we demonstrate that, with the contribution from Σ^*(1/2⁻) taken into account, the calculated invariant mass spectrum agrees with the Belle measurements. Future precise measurements of the Λc⁺→ p K̄⁰η process can further elucidate the existence of the low-lying baryon Σ^*(1/2⁻).