Remarks on the $P_c$ structures and triangle singularities

Abstract

It was proposed that the narrow $P_c(4450)$ structure observed by the LHCb Collaboration in the reaction ${\Lambda }_b\to J/\psi pK$ might be due to a triangle singularity around the ${\chi }_{c1}$--proton threshold at 4.45~GeV. We discuss the occurrence of a similar triangle singularity in the $J/\psi p$ invariant mass distribution for the decay ${\Lambda }_b\to J/\psi p\pi$, which could explain the bump around 4.45~GeV in the data. More precise measurements of this process would provide valuable information towards an understanding of the $P_c$ structures.

8 pages, 5 figures, version accepted for publication in European Physical Journal A

References in corpus (9)

• Big-Bang Nucleosynthesis
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Model-independent evidence for $J/\psi p$ contributions to ${\Lambda }_b^0\to J/\psi p{K}^{-}$ decays
• Evidence for exotic hadron contributions to ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays
• On the nature of $a_1(1420)$
• Compact pentaquark structures
• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• Disentangling the hadronic molecule nature of the $P_c(4380)$ pentaquark-like structure
• Unitarity, Analyticity and Crossing Symmetry in Two- and Three-hadron Final State Interactions

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