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The nonleptonic weak decays of Λ +  c  →  K  0  ηp  and Λ +   c   → π 0  фp  are investigated from the viewpoint of probing the  N *(1535) resonance and the possible  фp  state. For the Λ +  c  →  K  0  ηp  decay, we study the invariant mass distribution of  ηp  with both the chiral unitary approach and an effective Lagrangian model. Within the chiral unitary approach, the  N *(1535) resonance is dynamically generated from the final state interaction of mesons and baryons in coupled channels. While for the effective Lagrangian model, we take a Breit-Wigner formula for the  N *(1535) resonance. We found that the behavior of the  N *(1535) resonance in the Λ +  c  →  K  0  N *(1535) →  K  0  ηp  decay within the two approaches is different. For the Λ +   c   → π 0  фp  decay, we consider a triangle singularity mechanism, where the Λ +   c   decays into the  K *Σ*(1385), the Σ*(1385) decays into the π 0 Σ/Λ, and then the K*Σ/Λ merge to produce the  фp  in the final state. This mechanism produces a peak structure around 2020 MeV. In addition, the possibility that there is a hidden-strange pentaquark-like state is also considered by taking into account the final state interactions of K*Λ, K*Σ, and  фp . We conclude that it is difficult to search for the hidden-strange state in this decay. However, we do expect nontrivial behavior in the  фp  invariant mass distribution. The proposed Λ +  c  decay mechanism here can provide valuable information on the properties of these nuclear resonances and can in principle be tested by experiments such as BESIII, LHCb and Belle-II.

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Role ofN*(1535) in the Λ+c→ K0ηpdecay and the possibleфpstate in the Λ+c→ π0фpdecay