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We have performed a study of the $\Lambda^0_b \to \eta_c K^- p$ and$\Lambda^0_b \to \eta_c \pi \Sigma$ reactions based on the dominant Cabibbofavored weak decay mechanism. We show that the $K^- p$ produced only couples to$\Lambda^*$ states, not $\Sigma^*$ and that the $\pi \Sigma$ state is onlygenerated from final state interaction of $\bar{K}N$ and $\eta \Lambda$channels which are produced in a primary stage. This guarantees that the $\pi\Sigma$ state is generated in isospin $I=0$ and we see that the invariant massproduces a clean signal for the $\Lambda(1405)$ of higher mass at $1420$ MeV.We also study the $\eta_c p$ final state interaction, which is driven by theexcitation of a hidden charm resonance predicted before. We relate the strengthof the different invariant mass distributions and find similar strengths thatshould be clearly visible in an ongoing LHCb experiment. In particular wepredict that a clean peak should be seen for a hidden charm resonance thatcouples to the $\eta_c p$ channel in the invariant $\eta_c p$ massdistribution.

Hidden charm pentaquark and $\Lambda(1405)$ in the $\Lambda^0_b \to \eta_c K^- p (\pi \Sigma)$ reaction