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.
Eta photoproduction in a combined analysis of pion- and photon-induced reactions
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abstract
The $\eta N$ final state is isospin-selective and thus provides access to the spectrum of excited nucleons without being affected by excited $\Delta$ states. To this end, the world database on eta photoproduction off the proton up to a center-of-mass energy of $E\sim 2.3$ GeV is analyzed, including data on differential cross sections, and single and double polarization observables. The resonance spectrum and its properties are determined in a combined analysis of eta and pion photoproduction off the proton together with the reactions $\pi N\to \pi N$, $\eta N$, $K\Lambda$ and $K\Sigma$. For the analysis, the so-called J\"ulich coupled-channel framework is used, incorporating unitarity, analyticity, and effective three-body channels. Parameters tied to photoproduction and hadronic interactions are varied simultaneously. The influence of recent MAMI $T$ and $F$ asymmetry data on the eta photoproduction amplitude is discussed in detail.
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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.