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In order to study the properties of the $N^*$(1535) and $N^*$(1650) wecalculate the mass distributions of $M B$ in the $\Lambda_c \rightarrow\bar{K}^0 M B$ decay, with $MB=\pi N(I=1/2),\eta p$ and $K\Sigma(I=1/2)$. We dothis by calculating the tree-level and loop contributions, mixingpseudoscalar-baryon and vector-baryon channels using the local hidden gaugeformalism. The loop contributions for each channel are calculated using thechiral unitary approach. We observe that for the $\eta N$ mass distributiononly the $N^*$(1535) is seen, with the $N^*$(1650) contributing to the width ofthe curve, but for the $\pi N$ mass distribution both resonances are clearlyvisible. In the case of $MB=K\Sigma$, we found that the strength of the$K\Sigma$ mass distribution is smaller than that of the mass distributions ofthe $\pi N$ and $\eta p$ in the $\Lambda_c^+\rightarrow\bar{K}^0\pi N$ and$\Lambda_c^+\rightarrow\bar{K}^0\eta p$ processes, in spite of this channelhaving a large coupling to the $N^*(1650)$. This is because the $K\Sigma$ pairproduction is suppressed in the primary production from the $\Lambda_c$ decay.

Production of $N^*(1535)$ and $N^*(1650)$ in $\Lambda_c\rightarrow\bar{K}^0\eta p$ $(\pi N)$ decay

Production of $N^(1535)$ and $N^(1650)$ in $\Lambda_c\rightarrow\bar{K}^0\eta p$ $(\pi N)$ decay