  In this work, we systematically investigate the mass spectra of fully-heavy
hexaquarks within a constituent quark model by including the color Coulomb
potential, linear confining potential, and spin-spin interactions. Our results
show that all of the fully-heavy hexaquarks lie above the corresponding
baryon-baryon thresholds, and thus no stable compact one exists. These states
may subsist as resonances and decay into two fully-heavy baryons easily through
the fall-apart mechanism, which can be searched in future experiments.
