Using an improved Breit-Wigner model, the paper argues that complex pole residues are amplitude-level quantities, and shows how multi-resonance interference can make the Delta(1232) partial width appear to exceed its total width.
Multichannel parametrization of \pi N scattering amplitudes and extraction of resonance parameters
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abstract
We present results of a new multichannel partial-wave analysis for \pi N scattering in the c.m. energy range 1080 to 2100 MeV. This work explicitly includes \eta N and K \Lambda channels and the single pion photoproduction channel. Resonance parameters were extracted by fitting partial-wave amplitudes from all considered channels using a multichannel parametrization that is consistent with S-matrix unitarity. The resonance parameters so obtained are compared to predictions of quark models.
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Resolving the $\Delta(1232)$ partial width anomaly: Complex pole residue is not a fundamental resonance property
Using an improved Breit-Wigner model, the paper argues that complex pole residues are amplitude-level quantities, and shows how multi-resonance interference can make the Delta(1232) partial width appear to exceed its total width.