  Dibaryons are the simplest system in which the baryon-baryon interaction, and
hence the underlying quark-quark interaction, can be studied in a clear way.
Although the only dibaryon known today is the deuteron (and possibly the
$d^*$), fully heavy dibaryons are good candidates for bound states because in
such systems the kinetic energy is small and the high symmetry of the wave
function favours binding. In this study, the possible existence of
$\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$ dibaryons is
investigated in the framework of a constituent quark model that satisfactorily
describes the deuteron, the $d^*(2380)$ and the $NN$ interaction. $J^P=0^+$
candidates are found in both systems with binding energies of the order of MeV.
