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

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

2011-08-11

arxiv.org/abs/1108.2368v1

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

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

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