$P_{cs}(4459)$ and other possible molecular states from $\Xi_{c}^{(*)}\bar{D}^{(*)}$ and $\Xi'_c\bar{D}^{(*)}$ interactions

TL;DR

This paper investigates the possible molecular nature of the $P_{cs}(4459)$ and other hidden-charm pentaquark states using a coupled-channel approach based on the Bethe-Salpeter equation and light meson exchanges.

Contribution

It predicts new strange hidden-charm molecular states with specific spin parities and relates them to observed structures, expanding understanding of pentaquark internal structures.

Findings

Two $ar{D}^*$ molecular states with $J^P=1/2^-$ and $3/2^-$ are predicted.

The lower $3/2^-$ state may correspond to the observed $P_{cs}(4459)$.

Additional states near other thresholds are also predicted.

Abstract

Recently, the LHCb Collaboration reported a new structure $P_{cs}(4459)$ with a mass of 19 MeV below the $\Xi_c \bar{D}^{*} $ threshold. It may be a candidate of molecular state from the $\Xi_c \bar{D}^{*} $ interaction. In the current work, we perform a coupled-channel study of the $\Xi_c^*\bar{D}^*$, $\Xi'_c\bar{D}^*$, $\Xi^*_c\bar{D}$, $\Xi_c\bar{D}^*$, $\Xi'_c\bar{D}$, and $\Xi_c\bar{D}$ interactions in the quasipotential Bethe-Salpeter equation approach. With the help of the heavy quark chiral effective Lagrangian, the potential is constructed by light meson exchanges. Two $\Xi_c \bar{D}^{*} $ molecular states are produced with spin parities $ J^P=1/2^-$ and $3/2^- $. The lower state with $3/2^-$ can be related to the observed $P_{cs}(4450)$ while two-peak structure cannot be excluded. Within the same model, other strange hidden-charm pentaquarks are also predicted. Two states with spin parities $1/2^-$ and $3/2^-$ are predicted near the $\Xi'_c\bar{D}$, $\Xi_c\bar{D}$, and $\Xi_c^*\bar{D}$ thresholds, respectively. As two states near $\Xi_c \bar{D}^{*}$ threshold, two states are produced with $1/2^-$ and $3/2^-$ near the $\Xi'_c\bar{D}^*$ threshold. The couplings of the molecular states to the considered channels are also discussed. The experimental research of those states are helpful to understand the origin and internal structure of the $P_{cs}$ and $P_c$ states.