An explanation of the $Δ_{5/2^{-}}(1930)$ as a $ρΔ$ bound state

Details An explanation of the $Δ_{5/2^{-}}(1930)$ as a $ρΔ$ bound state An explanation of the $Δ_{5/2^{-}}(1930)$ as a $ρΔ$ bound state

2008-12-17

arxiv.org/abs/0812.3368v1

Phys.Rev.C79:025209,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pags, 8 figs

Scientific paper

10.1103/PhysRevC.79.025209

We use the $\rho\Delta$ interaction in the hidden gauge formalism to dynamically generate $N^{\ast}$ and $\Delta^{\ast}$ resonances. We show, through a comparison of the results from this analysis and from a quark model study with data, that the $\Delta_{5/2^{-}}(1930),$ $\Delta_{3/2^{-}}(1940)$ and $\Delta_{1/2^{-}}(1900)$ resonances can be assigned to $\rho\Delta$ bound states. More precisely the $\Delta_{5/2^{-}}(1930)$ can be interpreted as a $\rho\Delta$ bound state whereas the $\Delta_{3/2^{-}}(1940)$ and $\Delta_{1/2^{-}}(1900)$ may contain an important $\rho\Delta$ 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.

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