Three-body model calculations of Nucleon-Delta and Delta-Delta dibaryon resonances

Abstract

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(JP)=1(2+) and 2(1+) resonances slightly below threshold are found by solving pi-N-N 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(JP)=0(3+) and 3(0+), the former agreeing well both in mass and in width with the relatively narrow D_{03}(2370) resonance observed recently by the WASA-at-COSY Collaboration. Its spin-isospin symmetric partner D_{30} is predicted with mass around 2.4 GeV and width about 80 MeV.

22 pages, 4 figures, 10 tables, extension of PRL 111 (2013) 172301, to be published in the Gerry Brown Memorial issue of Nucl. Phys. A (2014)