Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry

Abstract

We investigate the consequences of heavy quark spin symmetry (HQSS) on hidden-charm pentaquark $P_c$ states. As has been proposed before, assuming the $P_c(4440)$ and the $P_c(4457)$ as $S$-wave ${\bar{D}}^{\ast }{\Sigma }_c$ molecules, seven hadronic molecular states composed of $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$, and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ can be obtained, with the $\bar{D}{\Sigma }_c$ molecule corresponding to the $P_c(4312)$. These seven states can decay into $J/\psi N$ and ${\eta }_{c}N$, and we use HQSS to predict ratios of partial widths of the $S$-wave decays. For the decays into $J/\psi N$, it is found that among all six $P_c$ molecules with spin $1/2$ or $3/2$, at least four states decay much more easily into the $J/\psi N$ than the $P_c(4312)$, and two of them couple dominantly to the ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$. While no significant peak around the ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ threshold is found in the $J/\psi p$ distribution, these higher $P_c$ states either are produced with lower rates or some special production mechanism for the observed $P_c$ states might play an important role, such as an intricate interplay between the production of pentaquarks and triangle singularities.

arXiv comment24 pages, 2 figures

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Cited by in corpus (52)

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• Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state
• Prompt production of the hidden charm pentaquarks in the LHC
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Semi-inclusive lepto-production of hidden-charm exotic hadrons
• Search for hidden-charm pentaquark states in three-body final states
• Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules
• Strong decays of $P_{\psi }^N(4312{)}^{+}$ to $J/\psi ({\eta }_c)p$ and ${\bar{D}}^{(\ast )}{\Lambda }_c$ within the Bethe-Salpeter framework
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• First observation of the decay ${\Lambda }_b^0\to {\eta }_c(1S)p{K}^{-}$
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
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• Quantum Numbers of the Pentaquark States $P_c^{+}$ via Symmetry Analysis
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