Full heavy dibaryons

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 $P=\pm 1$ 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 ${\Omega }_{bbb}{\Omega }_{bbb}$.

5 pages, 3 figures