$\hat{I}{\text{c◯}}_{bbb}\hat{I}{\text{c◯}}_{bbb}\hat{I}{\text{c◯}}_{bbb}$ tribaryons

Abstract

We study the possible existence of bound states of three $\hat{I}{\text{c◯}}_{bbb}$ baryons. We consider only $S$ wave interactions and we start from recent lattice QCD results which give a strongly attractive potential between two $\hat{I}{\text{c◯}}_{bbb}$ baryons in the ${}^1{S}_0$ channel. We analyze different scenarios. At baryonic level, the $\hat{I}{\text{c◯}}_{bbb}\hat{I}{\text{c◯}}_{bbb}$ 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.

9 pages, 2 figures