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arxiv: 1108.2368 · v1 · pith:4P5KEPA5new · submitted 2011-08-11 · ⚛️ nucl-th · hep-ex· hep-ph· nucl-ex

A new perspective on the Delta_(5/2⁺)(2000) puzzle

classification ⚛️ nucl-th hep-exhep-phnucl-ex
keywords deltaboundinterpretedsim1740stateapproximationargueargument
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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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