Dynamical Coupled-Channel Model of $πN$ Scattering in the W $\leq$ 2 GeV Nucleon Resonance Region
| dc.creator | Julia-Diaz, B. | |
| dc.creator | Lee, T. -S. H. | |
| dc.creator | Matsuyama, A. | |
| dc.creator | Sato, T. | |
| dc.date | 2007-04-12 | |
| dc.date | 2007-08-18 | |
| dc.date.accessioned | 2026-07-07T10:59:32Z | |
| dc.date.available | 2026-07-07T10:59:32Z | |
| dc.description | As a first step to analyze the electromagnetic meson production reactions in the nucleon resonance region, the parameters of the hadronic interactions of a dynamical coupled-channel model, developed in {\it Physics Reports 439, 193 (2007)}, are determined by fitting the $πN$ scattering data. The channels included in the calculations are $πN$, $ηN$ and $ππN$ which has $πΔ$, $ρN$, and $σN$ resonant components. The non-resonant meson-baryon interactions of the model are derived from a set of Lagrangians by using a unitary transformation method. One or two bare excited nucleon states in each of $S$, $P$, $D$, and $F$ partial waves are included to generate the resonant amplitudes in the fits. The parameters of the model are first determined by fitting as much as possible the empirical $πN$ elastic scattering amplitudes of SAID up to 2 GeV. We then refine and confirm the resulting parameters by directly comparing the predicted differential cross section and target polarization asymmetry with the original data of the elastic $π^{\pm} p \to π^{\pm} p$ and charge-exchange $π^- p \to π^0 n$ processes. The predicted total cross sections of $πN$ reactions and $πN\to ηN$ reactions are also in good agreement with the data. Applications of the constructed model in analyzing the electromagnetic meson production data as well as the future developments are discussed. | |
| dc.description | Several improvements with respect to previous version | |
| dc.identifier | https://arxiv.org/abs/0704.1615 | |
| dc.identifier | http://arxiv.org/abs/0704.1615 | |
| dc.identifier | Phys.Rev.C76:065201,2007 | |
| dc.identifier | doi:10.1103/PhysRevC.76.065201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187435 | |
| dc.subject | Nuclear Theory | |
| dc.title | Dynamical Coupled-Channel Model of $πN$ Scattering in the W $\leq$ 2 GeV Nucleon Resonance Region | |
| dc.type | text |