Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses

Abstract

In the search for missing baryonic resonances, many analyses include data from a variety of pion- and photon-induced reactions. For elastic $\pi N$ scattering, however, usually the partial waves of the SAID or other groups are fitted, instead of data. We provide the partial-wave covariance matrices needed to perform correlated ${\chi }^2$ fits, in which the obtained ${\chi }^2$ equals the actual ${\chi }^2$ up non-linear and normalization corrections. For any analysis relying on partial waves extracted from elastic pion scattering, this is a prerequisite to assess the significance of resonance signals and to assign any uncertainty on results. The influence of systematic errors is also considered.

7 pages, 3 figures; Acknowledgements updated

References in corpus (14)

• Extended Partial-Wave Analysis of piN Scattering Data
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Eta photoproduction in a combined analysis of pion- and photon-induced reactions
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Transition form factors of the N*(1535) as a dynamically generated resonance
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Radiative decay of the Delta(1700)
• On the muon neutrino mass

Cited by in corpus (11)

• Light Baryon Spectroscopy
• The impact of ${\mathbf{K}}^{+}\mathbf{\Lambda }$ photoproduction on the resonance spectrum
• Strong decays of baryons and missing resonances
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• Model Selection for Pion Photoproduction
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics
• Coupled-channel contributions to the GDH sum rule from the Jülich-Bonn approach