Extraction of P11 resonances from pi N data

Abstract

We show that two P11 nucleon resonance poles near the pi Delta threshold, obtained in several analyses, are stable against large variations of parameters within a dynamical coupled-channels analysis based on meson-exchange mechanisms. By also performing an analysis based on a model with a bare nucleon state, we find that this two-pole structure is insensitive to the analytic structure of the amplitude in the region below pi N threshold. Our results are M_pole = (1363^{+9}_{-6} -i79^{+3}_{-5}) MeV and (1373^{+12}_{-10} -i114^{+14}_{-9}) MeV. We also demonstrate that the number of poles in the 1.5 GeV < W < 2 GeV region could be more than one, depending on how the structure of the single-energy solution of SAID is fitted. For three-pole solutions, our best estimated result of a pole near N(1710) listed by Particle Data Group is (1829^{+131}_{-65} -i192^{+88}_{-110}) MeV which is close to the results of several previous analyses. Our results indicate the need of more accurate pi N reaction data in the W > 1.6 GeV region for high precision resonance extractions.

15 pages, 4 figures

References in corpus (9)

• Extended Partial-Wave Analysis of piN Scattering Data
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Disentangling the dynamical origin of P11 Nucleon Resonances
• Dynamical Coupled-Channel Model of $\pi N$ Scattering in the W $\le$ 2 GeV Nucleon Resonance Region
• New results on the Roper resonance and the P_{11} partial wave
• Extraction of Resonances from Meson-Nucleon Reactions
• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity

Cited by in corpus (35)

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• Dynamical coupled-channels model of $K^{-}p$ reactions (II): Extraction of ${\Lambda }^{\ast }$ and ${\Sigma }^{\ast }$ hyperon resonances
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• ${\gamma }^{\ast }N\to N(1710)$ transition at high momentum transfer
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• Toward establishing low-lying $\Lambda$ and $\Sigma$ hyperon resonances with the $\bar{K}+d\to \pi +Y+N$ reaction
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• Light-quark baryon spectroscopy within ANL-Osaka dynamical coupled-channels approach
• Opposite parity fermion mixing and baryons $1/2^{\pm }$
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