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

TL;DR

This paper uses QCD sum rules to analyze the $P_{cs}(4459)$ as a hidden-charm pentaquark, predicting a mass consistent with experimental data and supporting its assignment as a $J^P=1/2^-$ state.

Contribution

The study provides a QCD sum rule-based prediction of the $P_{cs}(4459)$ mass and explores its structure as a scalar diquark configuration, including flavor $SU(3)$ effects.

Findings

Predicted mass $4.47 ext{ GeV}$ matches experimental data.

Supports $P_{cs}(4459)$ as a $J^P=1/2^-$ pentaquark.

Estimates mass spectrum considering strangeness $S=-1$.

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 $M_P=4.47\pm0.11\,\rm{GeV}$ is in excellent agreement with the experimental data $ 4458.8 \pm 2.9 {}^{+4.7}_{-1.1} \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 $S=-1$.