Exotic $\Omega \Omega$ dibaryon states in a molecular picture

Abstract

We investigate the exotic $\Omega \Omega$ dibaryon states with $J^P=0^{+}$ and $2^{+}$ in a molecular picture. We construct the scalar and tensor $\Omega$$\Omega$ molecular interpolating currents and calculate their masses within the method of QCD sum rules. Our results indicate that the mass of the scalar dibaryon state is $m_{\Omega \Omega ,0^{+}}=(3.33\pm 0.22)\text{unit}$, which is about $15\mathrm{MeV}$ below the $2m_{\Omega }$ threshold. This result suggests the existence of a loosely bound molecular state of the $J^P=0^{+}$ scalar $\Omega \Omega$ dibaryon with a small binding energy around 15 MeV. The mass of the tensor dibaryon is predicted to be $m_{\Omega \Omega ,2^{+}}=(3.24\pm 0.23)\text{mbox}GeV$, which may imply a deeper molecular state of the tensor $\Omega \Omega$ dibaryon than the scalar channel. These exotic strangeness $S=-6$ and doubly-charged $\Omega \Omega$ dibaryon states may be identified in the heavy-ion collision processes.

Comments: 5 pages, 5 figures. Comments and suggestions are welcome