International Conference on Exotic Atoms and Related Topics - EXA2014

Three-body hadronic models with separable pairwise interactions are formulated and solved to calculate resonance masses and widths of $L=0$ $N\Delta$ and $\Delta\Delta$ dibaryons using relativistic kinematics. For $N\Delta$, $I(J^P)=1(2^+)$ and $2(1^+)$ resonances slightly below threshold are found by solving $\pi NN$ Faddeev equations. For $\Delta\Delta$, several resonances below threshold are found by solving $\pi N\Delta$ Faddeev equations in which the $N\Delta$ interaction is dominated by the $1(2^+)$ and $2(1^+)$ resonating channels. The lowest $\Delta\Delta$ dibaryon resonances found are for $I(J^P)=0(3^+)$ and $3(0^+)$, the former agreeing well both in mass and in width with the relatively narrow ${\cal D}_{03}(2370)$ resonance observed recently by the WASA@COSY Collaboration. Its spin-isospin symmetric partner ${\cal D}_{30}$ is predicted with mass around 2.4 GeV and width about 80 MeV.