Toward Complete Pion Nucleon Amplitudes

Abstract

We compare the low-energy partial wave analyses $\pi N$ scattering with a high-energy data via finite energy sum rules. We construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy, Regge parametrization and reconstruct the real parts using dispersion relations.

Joint Physics Analysis Center ; 15 pages, 12 figures

References in corpus (12)

• Baryon spectroscopy
• Properties of baryon resonances from a multichannel partial wave analysis
• The Physics of Glueballs
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Parameterization dependence of T matrix poles and eigenphases from a fit to piN elastic scattering data
• Pion- and photo-induced transition amplitudes to $\Lambda K$, $\Sigma K$, and $N\eta$
• Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
• Pion-nucleon charge-exchange amplitudes above 2 GeV
• Backward pion-nucleon scattering

Cited by in corpus (22)

• Measurement of the beam asymmetry $\Sigma$ for ${\pi }^0$ and $\eta$ photoproduction on the proton at $E_{\gamma }=9$ GeV
• Light Baryon Spectroscopy
• Coupled-Channel Model for $\bar{K}N$ Scattering in the Resonant Region
• Finite-Energy Sum Rules in Eta Photoproduction off the Nucleon
• Model Selection for Pion Photoproduction
• Beam Asymmetry $\mathbf{\Sigma }$ for the Photoproduction of $\eta$ and ${\eta }^{\prime }$ Mesons at ${\mathbf{E}}_{\gamma }=8.8$GeV
• Progress and Opportunities in Backward angle (u-channel) Physics
• Regge phenomenology in ${\pi }^0$ and $\eta$ photoproduction
• Exclusive tensor meson photoproduction
• Elastic pion-proton and pion-pion scattering at high energies in holographic QCD
• Search for the glueball content of hadrons in gamma p interactions at GlueX
• Global analysis of charge exchange meson production at high energies
• XYZ spectroscopy at electron-hadron facilities II: Semi-inclusive processes with pion exchange
• Structure of Pion Photoproduction Amplitudes
• ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ in the double-Regge region
• Features of forward $\pi N$ scattering from a Reggeized model
• Photoproduction of $\eta$ mesons off the proton for $1.2<E_{\gamma }<4.7$ GeV using CLAS at Jefferson Laboratory
• Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange
• On the Existence of $N^{\ast }(890)$ Resonance in $S_{11}$ Channel of $\pi N$ Scatterings
• High-energy ${\eta }^{(\prime )}\pi$ photoproduction and the nature of exotic waves
• Beam Asymmetries ($\Sigma$) for ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ in Photoproduction at GlueX
• Interactions of the deuteron with a hadronic medium