  The continuous advancement of experimental techniques and investigations has
led to observations of various exotic states in particle physics. Each addition
to this family of states not only raises expectations for future discoveries
but also focuses attention on such potential new states. Building upon this
motivation and inspired by recent observations of various traditional and
exotic particles containing an increased number of heavy quarks, our study
provides a spectroscopic search for potential pentaquark states with
spin-parity $\frac{3}{2}^-$ and composed entirely of charm or bottom quarks. We
predict the masses for full-charm and full-bottom pentaquark states as $m =
7628 \pm 112$~MeV and $m = 21982 \pm 144$~MeV, respectively. We also compute
the current couplings of these states to vacuum, which are main inputs in
investigations of their various possible decays.
