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

Abstract

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, ${\Delta }_{5/2^{+}}(\sim 1740)$ and ${\Delta }_{5/2^{+}}(\sim 2200)$. Our argument is based on a solution of the $\pi \Delta \rho$ problem in a Fixed Center Approximation (FCA) to the Fadeev equations. ${\Delta }_{5/2^{+}}(\sim 1740)$ 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.

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