${\mathrm{\Omega }}_{bbb}{\mathrm{\Omega }}_{bbb}{\mathrm{\Omega }}_{bbb}$ tribaryons

We study the possible existence of bound states of three ${\mathrm{\Omega }}_{bbb}$ baryons. We consider only $S$ wave interactions and we start from recent lattice QCD results which give a strongly attractive potential between two ${\mathrm{\Omega }}_{bbb}$ baryons in the ${}^1{S}_0$ channel. We analyze different scenarios. At baryonic level, the ${\mathrm{\Omega }}_{bbb}{\mathrm{\Omega }}_{bbb}$ interaction could be understood to be basically spin-independent, so that the two contributing channels, ${}^1{S}_0$ and ${}^5{S}_2$, would have a very similar interaction. This baryonic analysis leads to the existence of bound states in the three-body system. At the quark level, repulsive effects would appear in the ${}^5{S}_2$ channel, making it more repulsive than the ${}^1{S}_0$ channel. We study the effect of such repulsion in terms of its range.