Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules

Abstract

In this article, we study the scalar-diquark-scalar-diquark-antiquark type $udsc\bar{c}$ pentaquark state with the QCD sum rules, the predicted mass $M_P=4.47\pm 0.11\mathrm{GeV}$ is in excellent agreement with the experimental data $4458.8\pm 2.9{}_{-1.1}^{+4.7}\text{mbox}MeV$ from the LHCb collaboration, and supports assigning the $P_{cs}(4459)$ to be the hidden-charm pentaquark state with the spin-parity $J^P={\frac{1}{2}}^{-}$. We take into account the flavor $SU(3)$ mass-breaking effect, and estimate the mass spectrum of the diquark-diquark-antiquark type $udsc\bar{c}$ pentaquark states with the strangeness $S=-1$.

Comments: 12 pages, 5 figures