QCD sum rule study for hidden-strange pentaquarks

Inspired by the LHCb observations of hidden-charm P-c(s) states, we study their hidden-strange analog P-s states in both the [udu][(s) over bars] and [uds][(s) over baru] configurations. We investigate P-s pentaquark states in the p eta ', p phi, Lambda K, Sigma K, and Sigma*K* structures with J(P) = 1/2(-) and Sigma*K and Sigma K* with J(P) = 3/2(-) and calculate their masses in the frame-work of QCD sum rules. Our numerical results show that the extracted hadron masses for all the p eta ', p phi, Lambda K, Sigma K, and Sigma*K* structures are significantly higher than the Sigma K mass threshold, and the masses for Sigma*K and Sigma K* are also higher than the threshold of the corresponding hadron; hence, no bound state exists in such channels, which is consistent with the current experimental status.

Automated summary

This article studies the masses of hidden-strange analog P-s states in different configurations and calculates them based on the current experimental knowledge. The results show that all the structures have masses higher than their respective thresholds, indicating the absence of bound states.