D′dibaryon in the quark-delocalization, color-screening model

Abstract

We study the questions of the existence and mass of the proposed ${d}^{\ensuremath{'}}{(IJ}^{P}{=00}^{\ensuremath{-}})$ dibaryon in the quark-delocalization, color-screening model. The transformation between physical and symmetry bases has been extended to the cases beyond the SU(2) orbital symmetry. Using parameters fixed by baryon properties and $\mathrm{NN}$ scattering, we find a mild attraction in the ${\mathrm{IJ}}^{P}{=00}^{\ensuremath{-}}$ channel, but it is not strong enough to form a deeply bound state as proposed for the ${d}^{\ensuremath{'}}$ state. Nor does the (isospin) $I=2$ $N\ensuremath{\Delta}$ configuration have a deeply bound state. These results show that if a narrow dibaryon ${d}^{\ensuremath{'}}$ state does exist, it must have a more complicated structure.