A new perspective on the $Δ_{5/2^{+}}(2000)$ puzzle

Abstract

We argue that $Δ_{5/2^{+}}(2000)(\ast\ast),$ cataloged as a resonance in the Particle Data Book Review (PDG), should be interpreted instead as two distinctive resonances, $Δ_{5/2^{+}}(\sim1740)$ and $Δ_{5/2^{+}}(\sim2200)$. Our argument is based on a solution of the $πΔρ$ problem in a Fixed Center Approximation (FCA) to the Fadeev equations. $Δ_{5/2^{+}}(\sim1740)$ can then be interpreted as a $π-(Δρ)_{N(1675)}$ bound state. As a corollary $Δ_{1/2^{+}}(1750)(\ast)$ can be understood as a $πN_{1/2^{-}}(1650)$ bound state.

4 pages, 1 figure. Talk given by Pedro Gonzalez, to appear in the proceedings of hadron2011, 13-17 June 2011, Munich, Germany