  With the development of high energy physics experiments, a large amount of
exotic states in the hadronic sector have been observed. In order to shed some
insights on the nature of the tetraquark and pentaquark candidates, a
constituent quark model, along with the gaussian expansion method, has been
employed systematically in the real- and complex-range investigations. We
review herein the double- and full-heavy tetraquarks, but also the
hidden-charm, -bottom and doubly charmed pentaquarks. Several experimentally
observed exotic hadrons are well reproduced within our approach; moreover,
their possible compositeness are suggested and other properties analyzed
accordingly such as their decay widths and general patterns in the spectrum.
Besides, we report also some predictions not yet seen by experiment within the
studied tetraquark and pentaquark sectors.
