Tribaryons with lattice QCD and one-boson exchange potentials

TL;DR

This study investigates the potential for three-body bound states of omega baryons using lattice QCD and one-boson exchange models, finding bound states only in the lighter omega system with specific interactions.

Contribution

It demonstrates that three-body omega systems do not bind with lattice QCD interactions but can bind with one-boson exchange potentials, highlighting the role of specific spin interactions.

Findings

Three-body omega systems do not bind with lattice QCD interactions.

Bound state of Omega Omega Omega found with one-boson exchange potentials.

Heavier systems lack bound states due to suppressed spin interactions.

Abstract

Motivated by the existence of two-body hadronic molecules composed of $\Omega\Omega$, $\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$ predicted by lattice QCD simulations, we use the Gaussian expansion method to investigate whether three-body systems composed of $\Omega\Omega\Omega$, $\Omega_{ccc}\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}\Omega_{bbb}$ can bind with the two-body $^1S_0$ interactions provided by lattice QCD. Our results show that none of the three-body systems bind. On the other hand, we find that with the one-boson exchange potentials the $\Omega\Omega\Omega$ system develops a bound state, for which the $^5S_2$ interaction plays an important role. Our studies support the existence of the $\frac{3}{2}^+$ $\Omega\Omega\Omega$ bound state and the nonexistence of the $\frac{3}{2}^+$ $\Omega_{ccc}\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}\Omega_{bbb}$ bound states, due to the suppressed $^5S_2$ interactions in heavier systems.