Does the quark cluster model predict any isospin two dibaryon resonance?

Abstract

We analyze the possible existence of a resonance in the $J^P=0^{-}$ channel with isospin two by means of nucleon-$\Delta$ interactions based on the constituent quark model. We solve the bound state and the scattering problem using two different potentials, a local and a non-local one. The non-local potential results to be the more attractive, although not enough to generate the experimentally predicted resonance.

Comments: 9 pages in Latex (revtex), 2 eps figures available under request