Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules

Abstract

In this work, we construct the color $\bar{3}\bar{3}\bar{3}$ type local five-quark currents with the light quarks $qss$ in the flavor octet, and study the $qssc\bar{c}$ pentaquark states via the QCD sum rules in a comprehensive way, and we emphasize that we achieve two light-flavor octets. We obtain the mass spectrum of the hidden-charm-doubly-strange pentaquark states with the isospin-spin-parity $I{J}^P=\frac{1}{2}{\frac{1}{2}}^{-}$, $\frac{1}{2}{\frac{3}{2}}^{-}$ and $\frac{1}{2}{\frac{5}{2}}^{-}$, which can be confronted to the experimental data in the future, especially in the process ${\Xi }_b^{-}\to P_{css}^{-}\varphi \to J/\psi {\Xi }^{-}\varphi$. As a byproduct, we observe that the lowest hidden-charm pentaquark states are not of the scalar-diquark-scalar-diquark-antiquark type, it is not suitable to refer to the scalar and axialvector diquarks as the "good" and "bad" diquarks, respectively.

Comments: 24 pages, 22 figures