Study of isospin eigenstates of the pentaquark molecular states with strangeness

TL;DR

This study uses QCD sum rules to analyze isospin eigenstates of strange pentaquark molecular states, predicting their masses and supporting the interpretation of the $P_{cs}(4459)$ as a specific molecular state.

Contribution

It constructs specific five-quark currents and provides mass predictions for strange pentaquark molecules, offering insights into their isospin properties and potential experimental identification.

Findings

Mass predictions slightly above or below meson-baryon thresholds.

Supports $P_{cs}(4459)$ as a $ar{D} ext{Xi}_c^{*}$ molecular state.

Predictions can be tested with future experimental data.

Abstract

In the paper, we construct eight color singlet-singlet type five-quark currents with distinguished isospins to study the $\bar{D}\Xi^{\prime}$, $\bar{D}\Xi_c^{*}$, $\bar{D}^{*}\Xi_c^{\prime}$ and $\bar{D}^{*}\Xi_c^{*}$ molecular states with strangeness via the QCD sum rules. Numerical results show that the central values of the pentaquark masses with higher (lower) isospin are slightly above (below) the thresholds of the corresponding meson-baryon pairs, and support assigning the $P_{cs}(4459)$ as the $\bar{D}\Xi_c^{*}$ molecular state with the quantum numbers $IJ^P=0{\frac{3}{2}}^-$. The other predictions can be confronted to the experimental data in the future.