  In two recent papers, we used the hadro-quarkonium model to study the
properties of hidden-charm and bottom tetraquarks and pentaquarks. Here, we
extend the previous results and calculate the masses of
heavy-quarkonium-kaon/hyperon systems. We also compute the spectrum of
hidden-charm and bottom tetraquarks with strangeness in the compact tetraquark
(diquark-antidiquark) model. If heavy-light exotic systems with non-null
strangeness content were to be observed experimentally, it might be possible to
distinguish among the large variety of available theoretical pictures for
tetra- and pentaquark states and, possibly, rule out those which are not
compatible with the data.
