Explanation of the Delta(-)(5/2)(1930) as a rho Delta bound state

Abstract

We use the ρΔ interaction in the hidden gauge formalism to dynamically generate N* and Δ* resonances. We show, through a comparison of the results from this analysis and from a quark model study with data, that the Δ 5/2− (1930), Δ3/2− (1940), and Δ1/2− (1900) resonances can be assigned to ρΔ bound states. More precisely the Δ 5/2− (1930) can be interpreted as a ρΔ bound state whereas the Δ 3/2− (1940) and Δ1/2− (1900) may contain an important ρ component. This interpretation allows for a solution of a long-standing puzzle concerning the description of these resonances in constituent quark models. In addition we also obtain degenerate J P = 1/2−, 3/2−, 5/2− N* states but their assignment to experimental resonances is more uncertain.