  In this work, we systematically calculate the spectrum of hidden-charm
pentaquark states $qqqc\bar{c}$ $(q = u,d)$ in the chiral SU(3) quark model,
which has been quite successful in reproducing consistently the energies of
octet and decuplet baryon ground states, the binding energy of deuteron, and
the nucleon-nucleon ($NN$) scattering phase shifts and mixing parameters for
partial waves with total angular momentum up to $J=6$. The Hamiltonian contains
the one-gluon-exchange (OGE) potential, the Goldstone-boson-exchange (GBE)
potential, the confinement potential, and the kinetic energy of the system. We
solve the Schr\"odinger equation by use of the variational method. It is found
that the masses of all the experimentally observed $P_c(4312)$, $P_c(4380)$,
$P_c(4440)$, and $P_c(4457)$ states are much overestimated, indicating that
these states are not compact pentaquark states in the chiral SU(3) quark model.
All other $qqqc\bar{c}$ $(q = u,d)$ states are found to lie much above the
corresponding baryon-meson thresholds, and thus are not suggested as stable
pentaquark states due to their fall-apart decays. A detailed comparison of the
results with those obtained in the OGE model and the chromomagnetic interaction
(CMI) model is further given.
