Three-body model calculations of NΔ and ΔΔ dibaryon resonances

Three-body hadronic models with separable pairwise interactions are formulated and solved to calculate resonance masses and widths of L=0L=0NΔ and ΔΔ dibaryons using relativistic kinematics. For N  Δ, I(JP)=1(2+)I(JP)=1(2+) and 2(1+)2(1+) resonances slightly below threshold are found by solving πNN Faddeev equations. For ΔΔ, several resonances below threshold are found by solving πNΔ Faddeev equations in which the N  Δ interaction is dominated by the 1(2+)1(2+) and 2(1+)2(1+) resonating channels. The lowest ΔΔ dibaryon resonances found are for I(JP)=0(3+)I(JP)=0(3+) and 3(0+)3(0+), the former agreeing well both in mass and in width with the relatively narrow D03(2370)D03(2370) resonance observed recently by the WASA@COSY Collaboration. Its spin–isospin symmetric partner D30D30 is predicted with mass around 2.4 GeV and width about 80 MeV.