Full heavy dibaryons

TL;DR

This paper investigates the possibility of stable full heavy dibaryons composed of either three charm or three bottom quarks using a constituent quark model, finding certain configurations can form bound states.

Contribution

It provides a theoretical analysis of full heavy dibaryons, identifying which configurations are likely to be bound states based on effective potentials and scattering phase shifts.

Findings

Bound states are possible for dibaryons with six identical heavy quarks and J^P=0^+.

The $ ext{Omega}_{ccc} ext{Omega}_{ccc}$ and $ ext{Omega}_{bbb} ext{Omega}_{bbb}$ systems are likely stable.

The $ ext{Omega}_{ccc} ext{Omega}_{bbb}$ system does not form a bound state.

Abstract

The existence of full heavy dibaryons $\Omega_{ccc}\Omega_{bbb}$, $\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$ with $J=0,~1,~2,~3$ and $P=\pm1$ are investigated in the framework of a constituent quark model. The dibaryon composed of six $c$ or $b$ quarks with $J^{P}=0^{+}$ is possible to be bound, while the dibaryon with the $cccbbb$ configuration is difficult to form any bound state. We also study the interaction between two full heavy baryons, and the effective potentials, suggesting the existence of dibaryons $\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$, and the absence of binding for $\Omega_{ccc}\Omega_{bbb}$ system. Besides, the calculation of the low-energy scattering phase shifts of the $\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$, as well as the scattering length also confirm the existence of stable full heavy dibaryons $\Omega_{ccc}\Omega_{ccc}$ and $\Omega_{bbb}\Omega_{bbb}$.