Dynamical Coupled-Channel Model of pi-N scattering in te W < 2 GeV Nucleon Resonane Region
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 empirical $$\pi N$$ elastic scattering amplitudes of SAID up to 2 GeV. The channels included in the calculations are $$\pi N$$, $$\eta N$$ and $$\pi\pi N$$ which has $$\pi\Delta$$, $$\rho N$$, and $$\sigma N$$ 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 predicted total cross sections of $$\pi N$$ reactions and $$\pi N\rightarrow \eta N$$ reactions are 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE - Office of Energy Research (ER)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 902111
- Report Number(s):
- JLAB-THY-07-634; DOE/OR/23177-0035; TRN: US0702791
- Journal Information:
- Phys.Rev.C, Vol. 76
- Country of Publication:
- United States
- Language:
- English
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