Backward pion-nucleon scattering

Abstract

A global analysis of the world data on differential cross sections and polarization asymmetries of backward pion-nucleon scattering for invariant collision energies above 3 GeV is performed in a Regge model. Including the $N_{\alpha }$, $N_{\gamma }$, ${\Delta }_{\delta }$ and ${\Delta }_{\beta }$ trajectories, we reproduce both angular distributions and polarization data for small values of the Mandelstam variable $u$, in contrast to previous analyses. The model amplitude is used to obtain evidence for baryon resonances with mass below 3 GeV. Our analysis suggests a $G_{39}$ resonance with a mass of 2.83 GeV as member of the ${\Delta }_{\beta }$ trajectory from the corresponding Chew-Frautschi plot.

12 pages, 16 figures

References in corpus (5)

• Regge approach to charged-pion photoproduction at invariant energies above 2 GeV
• Pion-nucleon charge-exchange amplitudes above 2 GeV
• Neutral pion photoproduction at high energies
• Backward pion photoproduction
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion

Cited by in corpus (12)

• Roy-Steiner-equation analysis of pion-nucleon scattering
• Roy-Steiner equations for pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Light Baryon Spectroscopy
• P-wave excited baryons from pion- and photo-induced hyperon production
• Toward Complete Pion Nucleon Amplitudes
• Proton-proton scattering above 3 GeV/c
• Regge description of two pseudoscalar meson production in antiproton-proton annihilation
• Analysis of recent eta photoproduction data
• A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses
• Analysis of the data for $\gamma p\to f_1(1285)p$ photoproduction
• Roy-Steiner equations for pi N scattering