The role of the background in the extraction of resonance contributions from meson-baryon scattering

Abstract

The separation of background and resonance contributions in pion-nucleon scattering is an often discussed issue. We investigate to what extent the background can be separated from the pole contribution. For illustration we use results from an analytic model for the meson-baryon interaction derived from meson exchange. We focus on the two distinct cases of an elastic and a highly inelastic resonance, namely the Delta(1232) and the Delta*(1700). Our results are also relevant for studies of dynamically generated resonances and attempts to extract bare quantities from hadronic models to be compared to quark model results.

6 pages, 4 figures; update to version accepted in Phys. Lett. B

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• Internal structure of resonant Lambda(1405) state in chiral dynamics
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• Extraction of Electromagnetic Transition Form Factors for Nucleon Resonances within a Dynamical Coupled-Channels Model
• Pion- and photo-induced transition amplitudes to $\Lambda K$, $\Sigma K$, and $N\eta$
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• P-wave excited baryons from pion- and photo-induced hyperon production
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• Composite and elementary natures of a1(1260) meson
• Electromagnetic Transition Form Factors of Baryon Resonances
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Three-body scattering: Ladders and Resonances
• Strong decay of low-lying $S_{11}$ and $D_{13}$ nucleon resonances to pseudoscalar mesons and octet baryons
• Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances
• Towards the Minimal Spectrum of Excited Baryons
• Coupled-channel analysis of pion- and eta-electroproduction with the Jülich-Bonn-Washington model
• Electromagnetic structure of the nucleon and the Roper resonance in a light-front quark approach
• A chiral quark model for meson electro-production in the S11 partial wave
• Baryon transition form factors at the pole
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Role of the strange quark in the rho(770) meson