Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum

Abstract

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.1 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to simultaneously fit pi-p\toηn data to 0.8 GeV. Our main result, solution FA02, utilizes a complete set of forward and fixed-t dispersion relation constraints, from threshold to 1 GeV, and from t = 0 to -0.4 (GeV/c)^2, applied to the piN elastic amplitude. A large number of systematic checks have been performed, including fits with no charge-exchange data and other database changes, fits with few or no dispersion relation constraints, and changes to the Coulomb correction scheme. We have also reexamined methods used to extract Breit-Wigner resonance parameters. The quality of fit to both data and dispersion relation constraints is superior to our earlier work. The results of these analyses are compared with previous solutions in terms of their resonance spectra and preferred values for couplings and low-energy parameters, including the piNN coupling constant.

30 pages, including 12 tables and 15 figures. Changes made to the table of residues. Minor changes to the text. Qualitative results remain unchanged

References in corpus (15)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Updated analysis of $\pi$N elastic scattering data to 2.1~GeV: The Baryon Spectrum
• Sudakov Effects in Electroweak Corrections
• Baryon Resonance Extraction from piN Data using a Unitary Multichannel Model
• Vector meson production and nucleon resonance analysis in a coupled-channel approach for energies m_N < sqrt(s) < 2 GeV II: photon-induced results
• An isobar model for eta photo- and electroproduction on the nucleon
• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• Towards an understanding of isospin violation in pion-nucleon scattering
• Analysis of resonance multipoles from polarization observables in eta photoproduction
• The structure function of semi-inclusive heavy flavour decays in field theory
• Differential cross sections for pion charge exchange on the proton at 27.5 MeV
• Measurements of spin rotation parameter A in pion-proton elastic scattering at 1.62 GeV/c
• Precision Pion-Proton Elastic Differential Cross Sections at Energies Spanning the Delta Resonance
• Charge-Symmetry Violation in Pion Scattering from Three-Body Nuclei
• Charge Symmetry Violation Effects in Pion Scattering off the Deuteron

Cited by in corpus (103)

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• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Limits on sterile neutrino mixing using atmospheric neutrinos in Super-Kamiokande
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Coupled-channel analysis of the $\omega$-meson production in $\pi N$ and $\gamma N$ reactions for c.m. energies up to 2 GeV
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• Some mass relations for mesons and baryons in Regge phenomenology
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• Dark matter and collider signatures of the MSSM
• Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
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• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• Single pi+ Electroproduction on the Proton in the First and Second Resonance Regions at 0.25GeV^2 < Q^2 < 0.65GeV^2 Using CLAS
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for $p(\vec{e},e^{\prime }p){\pi }^o$ in the $\Delta (1232)$ Resonance Region
• Observation of Two New N* Peaks in J/psi -> $pp{i}^{-}\bar{n}$ and $\bar{p}{\pi }^{+}n$ Decays
• Photoproduction of eta-mesons on the deuteron above S11(1535) in the presence of a narrow P11(1670) resonance
• Precision determination of pion-nucleon coupling constants using effective field theory
• Transition form factors of the N*(1535) as a dynamically generated resonance
• Interaction of eta mesons with nuclei
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for $p(\vec{e},e^{\prime }{\pi }^{+})n$ in the $\Delta (1232)$ Resonance Region
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• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• P-wave excited baryons from pion- and photo-induced hyperon production
• Superscaling in Nuclei: A Search for Scaling Function Beyond the Relativistic Fermi Gas Model
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• Coupled-channel analysis of $K\Sigma$ production on the nucleon up to 2.0 GeV
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Clues to the nature of the Delta^*(1700) resonance from pion- and photon-induced reactions
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• Baryon Resonance Analysis from SAID
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• Color transparency and short-range correlations in exclusive pion photo- and electroproduction from nuclei
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
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• S-wave pion nucleon scattering lengths from $\pi N$, pionic hydrogen and deuteron data
• Evaluation of the Pion-Nucleon Sigma Term from CHAOS Data
• Toward Complete Pion Nucleon Amplitudes
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for Pion Electroproduction in the Roper Resonance Region
• Measurement of Inverse Pion Photoproduction at Energies Spanning the N(1440) Resonance
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• pi+- p differential cross sections at low energies
• Effective Field Theory calculations of $NN\to NN\pi$
• Pion-nucleon charge-exchange amplitudes above 2 GeV
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data
• Nuclear transparencies from photoinduced pion production
• Model-independent resonance parameter extraction using the trace of K and T matrices
• A chiral quark model for meson electro-production in the S11 partial wave
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
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• The K-matrix approach to the Delta - resonance mass splitting and isospin violation in low-energy pi-N scattering
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• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• Pionic charge exchange on the proton from 40 to 250 MeV
• The Goldberger-Miyazawa-Oehme sum rule revisited
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• Toward a unified description of hadro- and photoproduction: S-wave pi- and eta-photoproduction amplitudes
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• A case in favor of the $N^{\ast }(1700)(3/2^{-})$
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• A brief history of the pion-nucleon coupling constant
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• Measurement of the Spin Rotation Parameter A in the Elastic Pion-proton Scattering at 1.43 GeV/c
• Backward asymmetry measurements in the elastic pion-proton scattering at resonance energies
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• Phenomenological constraints on the Jaffe-Wilczek model of pentaquarks
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• Features of forward $\pi N$ scattering from a Reggeized model
• Search for narrow resonances in $\pi p$ elastic scattering from the EPECUR experiment
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• Present status of the nonstrange and other flavor partners of the exotic Theta+ baryon
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• Modeling final-state interactions with a relativistic multiple-scattering approximation
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