Parameterization dependence of T matrix poles and eigenphases from a fit to piN elastic scattering data

Abstract

We compare fits to piN elastic scattering data, based on a Chew-Mandelstam K-matrix formalism. Resonances, characterized by T-matrix poles, are compared in fits generated with and without explicit Chew-Mandelstam K-matrix poles. Diagonalization of the S matrix yields the eigenphase representation. While the eigenphases can vary significantly for the different parameterizations, the locations of most T-matrix poles are relatively stable.

6 pages, 3 figures, 1 table

References in corpus (3)

• Extended Partial-Wave Analysis of piN Scattering Data
• Model-independent resonance parameter extraction using the trace of K and T matrices
• Resonance parameters from K-matrix and T-matrix poles

Cited by in corpus (84)

• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Pion-nucleon scattering in the Roper channel from lattice QCD
• Eta photoproduction in a combined analysis of pion- and photon-induced reactions
• The thermal proton yield anomaly in Pb-Pb collisions at the LHC and its resolution
• Extracting the sigma-term from low-energy pion-nucleon scattering
• Dark matter and collider signatures of the MSSM
• Neutron-Proton Scattering in the Context of the $d^{\ast }$(2380) Resonance
• Isospin decomposition of $\gamma N\to N^{\ast }$ transitions within a dynamical coupled-channels model
• Light Baryon Spectroscopy
• Pion photoproduction off the proton in a gauge-invariant chiral unitary framework
• The impact of ${\mathbf{K}}^{+}\mathbf{\Lambda }$ photoproduction on the resonance spectrum
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Multiplicity dependence of (multi-)strange baryons in the canonical ensemble with phase shift corrections
• Measurement of pi^0 photoproduction on the proton at MAMI C
• S-matrix analysis of the baryon electric charge correlation
• The pion-nucleon sigma term from lattice QCD
• Photon beam asymmetry $\Sigma$ for $\eta$ and ${\eta }^{\prime }$ photoproduction from the proton
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• First measurement of the helicity asymmetry $E$ in $\eta$ photoproduction on the proton
• Strong evidence for nucleon resonances near 1900\,MeV
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• The $B\to K^{\ast }$ form factors on the lattice
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Repulsive interactions and their effects on the thermodynamics of hadron gas
• Baryon photo-decay amplitudes at the pole
• Toward Complete Pion Nucleon Amplitudes
• Cross Section for $\gamma n\to {\pi }^{0}n$ measured at Mainz/A2
• Model independent analysis of coupled-channel scattering: a deep learning approach
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Classifying Pole of Amplitude Using Deep Neural Network
• Towards the Minimal Spectrum of Excited Baryons
• Progress and Opportunities in Backward angle (u-channel) Physics
• Improved empirical parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ and ${\gamma }^{\ast }N\to N(1520)$ helicity amplitudes and the Siegert's theorem
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• Two-Pion production in the second resonance region in ${\pi }^{-}p$ collisions with HADES
• Regularisation in Nonperturbative Extensions of Effective Field Theory
• Thermodynamics of a gas of hadrons with attractive and repulsive interaction within S-matrix formalism
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• On hadron deformation: a model independent extraction of EMR from pion photoproduction data
• XYZ spectroscopy at electron-hadron facilities II: Semi-inclusive processes with pion exchange
• A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses
• A case in favor of the $N^{\ast }(1700)(3/2^{-})$
• High-precision Measurements of piP Elastic Differential Cross Sections in the Second Resonance Region
• Observation of a structure in the M${}_{p\eta }$ invariant mass distribution near 1700 MeV/$c^2$ in the $\gamma \mathbf{p}\to \mathbf{p}{\pi }^0\eta$ reaction
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles
• The complete experiment problem of pseudoscalar meson photoproduction in a truncated partial wave analysis
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Single-Energy Partial Wave Analysis for ${\pi }^0$ Photoproduction on Proton with Fixed-$t$ Analyticity Imposed
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Meson resonances in forward-angle ${\pi }^{+}{\pi }^{-}$ photoproduction
• Features of forward $\pi N$ scattering from a Reggeized model
• Single-energy partial wave analysis for pion photoproduction with fixed-t analyticity
• Application of the single-channel, single-energy AA/PWA method to $K^{+}\Lambda$ photoproduction
• Baryonic Sources of Thermal Photons
• Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics
• New Bounds on Heavy QCD Axions from Big Bang Nucleosynthesis
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Momentum-space second-order pion-nucleus potential including medium effects in the $\Delta (1232)$ region
• Is the pole content of each single-energy, single-channel partial wave analysis inherently model dependent?
• Posterior predictive distributions of neutron-deuteron cross sections
• Chiral corrections to the Adler-Weisberger sum rule
• Higher derivative terms in the πΔN interaction: some phenomenological consequences
• Nuclear coherent ${\pi }^0$ photoproduction with charge-exchange and spin-flip rescattering
• Single-channel, single-energy partial-wave analysis with continuity improved through minimal phase constraints
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Bridging reaction theory and nuclear structure in ${\pi }^{\pm }$-${}^{48}$Ca scattering
• Compositeness of the Delta(1232) resonance in pi N scattering
• The Joint Physics Analysis Center: Recent results
• Complex phase structure of the meson-baryon $T$-matrix
• Nucleon mass: trace anomaly and $\sigma$-terms
• Neutron skins probed in proton knockout from neutron-rich nuclei
• Improved description of the pion-nucleon scattering phenomenology in covariant baryon chiral perturbation theory
• Exact strangeness conservation in heavy ion collisions
• New graphical criterion for the selection of complete sets of polarization observables and its application to single-meson photoproduction as well as electroproduction
• Resonance Extraction from the SAID Analysis
• Potential dangers when phase shifts are used as a link between experiment and QCD
• Coupled-channel contributions to the GDH sum rule from the Jülich-Bonn approach
• Interactions of the deuteron with a hadronic medium