$P_c$-like pentaquarks in hidden strange sector

Abstract

Analogous to the work of hidden charm molecular pentaquarks, we study possible hidden strange molecular pentaquarks composed of $\Sigma$ (or ${\Sigma }^{\ast }$) and $K$ (or $K^{\ast }$) in the framework of quark delocalization color screening model. Our results suggest that the $\Sigma K$, $\Sigma K^{\ast }$ and ${\Sigma }^{\ast }{K}^{\ast }$ with $I{J}^P=\frac{1}{2}{\frac{1}{2}}^{-}$ and $\Sigma K^{\ast }$, ${\Sigma }^{\ast }K$ and ${\Sigma }^{\ast }{K}^{\ast }$ with $I{J}^P=\frac{1}{2}{\frac{3}{2}}^{-}$ are all resonance states by coupling the open channels. The molecular pentaquark ${\Sigma }^{\ast }K$ with quantum numbers $I{J}^P=\frac{1}{2}{\frac{3}{2}}^{-}$ can be seen as a strange partner of the LHCb $P_c(4380)$ state, and it can be identified as the nucleon resonance $N^{\ast }(1875)$ listed in PDG. The $\Sigma K^{\ast }$ with quantum numbers $I{J}^P=\frac{1}{2}{\frac{3}{2}}^{-}$ can be identified as the $N^{\ast }(2100)$, which was experimentally observed in the $\varphi$ photo-production.

Comments: 8 pages, 2 figures