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 $L=0$ $N\mathrm{\Delta }$ and $\mathrm{\Delta }\mathrm{\Delta }$ dibaryons using relativistic kinematics. For $N\mathrm{\Delta }$, $I(J^P)=1(2^{+})$ and $2(1^{+})$ resonances slightly below threshold are found by solving $\pi NN$ Faddeev equations. For $\mathrm{\Delta }\mathrm{\Delta }$, several resonances below threshold are found by solving $\pi N\mathrm{\Delta }$ Faddeev equations in which the $N\mathrm{\Delta }$ interaction is dominated by the $1(2^{+})$ and $2(1^{+})$ resonating channels. The lowest $\mathrm{\Delta }\mathrm{\Delta }$ 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 ${\mathcal{D}}_{03}(2370)$ resonance observed recently by the WASA@COSY Collaboration. Its spin-isospin symmetric partner ${\mathcal{D}}_{30}$ is predicted with mass around 2.4 GeV and width about 80 MeV.