  In this work, we investigate the double-heavy molecular pentaquark states
with the quark contents $ccss\bar{s}$, $bbss\bar{s}$, and $bcss\bar{s}$ by
using the coupled channel approach. The extended local hidden gauge Lagrangians
are used to obtain the meson-baryon interactions by exchanging the vector
mesons. We predict some candidates for the molecular states with the quantum
numbers $I(J^{P}) = 0(1/2^{-}, 3/2^{-}, 5/2^{-})$, whose binding energies are
of the order of $20-30$ MeV and whose widths are all less than $8$ MeV. These
predicted exotic double-heavy molecular pentaquark states may be accessible in
future experiments such as LHCb.
