Investigation of Δ0Δ0 dibaryon in QCD

Abstract

We study a hypothetical ${\mathrm{\ensuremath{\Delta}}}^{0}{\mathrm{\ensuremath{\Delta}}}^{0}$ dibaryon state by means of the QCD sum rule method. We construct a scalar interpolating current to extract the mass and decay constant of this state taking into account contributions of various quark, gluon, and mixed vacuum condensates. The predictions for the mass and decay constants are ${m}_{D}=232{6}_{\ensuremath{-}126}^{+114}\text{ }\text{ }\mathrm{MeV}$ and ${f}_{D}=2.9{4}_{\ensuremath{-}0.34}^{+0.30}\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}\text{ }\text{ }{\mathrm{GeV}}^{7}$, respectively. We also made an estimation about binding energy and size of the ${\mathrm{\ensuremath{\Delta}}}^{0}{\mathrm{\ensuremath{\Delta}}}^{0}$ dibaryon. The obtained mass value is below the ${\mathrm{\ensuremath{\Delta}}}^{0}{\mathrm{\ensuremath{\Delta}}}^{0}$ threshold and may be a good dibaryon candidate for being observed experimentally.