Quark Cluster Model Study of Isospin-Two Dibaryons

Abstract

Based on a quark cluster model for the non-strange sector that reproduces reasonably well the nucleon-nucleon system and the excitation of the $\Delta$ isobar, we generate a nucleon-$\Delta$ interaction and present the predictions for the several isospin two channels. The only attractive channels are $0^{+}$ and $0^{-}$, but not attractive enough to generate a resonance. If a resonance is artificially generated and is required to have the observed experimental mass, then our model predicts a width that agrees with the experimental result.

Comments: 12 pages, 5 poscript figures available under request. To appear in Phys. Rev. C