Study of the hidden charm pentaquarks $\Lambda_{c\bar{c}}$ above $4$ GeV

TL;DR

This study investigates the potential existence of strange hidden charm pentaquarks $\Lambda_{car{c}} ext{ above 4 GeV}$ using a quark delocalization color screening model, predicting bound states for specific isospin and spin configurations.

Contribution

It provides the first dynamical calculation of strange hidden charm pentaquarks with predictions of bound states and their energies, highlighting candidates for experimental searches.

Findings

Bound states for $IJ^{P}=0\frac{1}{2}^{-}$ and $IJ^{P}=0\frac{3}{2}^{-}$ with energies 4094.3 MeV and 4207.4 MeV.

No bound states found for isospin $I=1$ systems due to repulsive potentials.

Channel coupling is crucial for the formation of these bound states.

Abstract

A dynamical calculation of the strange hidden charm pentaquark systems $\Lambda_{c\bar{c}}$ is performed in the framework of the quark delocalization color screening model. The effective potentials between two clusters are calculated to investigate the interaction between the baryons and mesons. The dynamic calculations indicate that the strange hidden charm pentaquark system with $IJ^{P}=0\frac{1}{2}^{-}$ and $IJ^{P}=0\frac{3}{2}^{-}$ can form bound states with the help of the channel-coupling. The energies of these two system are 4094.3 MeV and 4207.4 Mev, respectively. These two $\Lambda_{c\bar{c}}$ states are possible to be intriguing pentaquark candidates which are worth searching in experiments. Whereas, for the systems with isospin $I=1$, the effective potentials of all channels are repulsive, and there is no any bound state for these systems.