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 $m_{\Omega\Omega, \, 0^+}=(3.33\pm0.22) \,\unit$, 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 $m_{\Omega\Omega,\, 2^+}=(3.24\pm0.23)\, \mbox{GeV}$, 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.