Possible pentaquarks with heavy quarks

Abstract

Inspired by the discovery of two pentaquarks $$P_{c}(4380)$$ and $$P_{c}(4450)$$ at the LHCb detector, we study possible hidden-charm molecular pentaquarks in the framework of quark delocalization color screening model. Our results suggest that both $$N\eta _{c}$$ with $$\textit{IJ}^{P}=\frac{1}{2}\frac{1}{2}^{-}$$ and $$\textit{NJ}/\psi $$ with $$\textit{IJ}^{P}=\frac{1}{2}\frac{3}{2}^{-}$$ are bounded by channels coupling. However, $$\textit{NJ}/\psi $$ with $$\textit{IJ}^{P}=\frac{1}{2}\frac{3}{2}^{-}$$ may be a resonance state in the D-wave $$N\eta _{c}$$ scattering process. Moreover, $$P_{c}(4380)$$ can be explained as the molecular pentaquark of $$\Sigma ^{*}_{c}D$$ with quantum numbers $$\textit{IJ}^{P}=\frac{1}{2}\frac{3}{2}^{-}$$ . The state $$\Sigma ^{*}_{c}D^{*}$$ with $$\textit{IJ}^{P}=\frac{1}{2}\frac{5}{2}^{-}$$ is a resonance, it may not be a good candidate of the observed $$P_{c}(4450)$$ because of the opposite parity of the state to $$P_{c}(4380)$$ , although the mass of the state is not far from the experimental value. In addition, the calculation is extended to the hidden-bottom pentaquarks, and similar properties to that of hidden-charm pentaquarks system are obtained.