$J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays

Abstract

Recently LHCb experiments confirmed the findings of the two $P_c$ states in the ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays. In the present work, we investigate both the ${\Lambda }_b^0\to J/\psi K^{-}p$ and the ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays, continuing the investigations of our former works on the interactions of $J/\psi N$ with its coupled channels by considering the s-/u- channel contributions. We obtain consistent results of the line-shape of the $J/\psi N$ invariant mass distribution with the LHCb experiments, and favour the $P_c(4450)$ state as a ${\bar{D}}^{\ast }{\Sigma }_c$ bound state with $J=1/2^{-}$.

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