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Role of the $N^*(1535)$ in the $Λ^+_c \to \bar{K}^0 ηp$ decay (1704.05714v1)

Published 19 Apr 2017 in hep-ph

Abstract: The nonleptonic weak decay of $\Lambda+_c \to \bar{K}0 \eta p$ is analyzed from the viewpoint of probing the $N*(1535)$ resonance, which has a big decay branching ratio to $\eta N$. Up to an arbitrary normalization, the invariant mass distribution of $\eta p$ is calculated 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 the strangeness zero sector. For the effective Lagrangian model, we take a Breit-Wigner formula to describe the distribution of the $N*(1535)$ resonance. It is found that the behavior of the $N*(1535)$ resonance in the $\Lambda+_c \to \bar{K}0 N*(1535) \to \bar{K}0 \eta p$ decay within the two approaches is different. The proposed $\Lambda+_c$ decay mechanism can provide valuable information on the properties of the $N*(1535)$ and can in principle be tested by facilities such as BEPC II and SuperKEKB.

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