Dynamical Coupled-Channel Model of pi-N scattering in te W < 2 GeV Nucleon Resonane Region

Journal Article · Sat Dec 01 04:00:00 EST 2007 · Phys.Rev.C

DOI:https://doi.org/10.1103/PhysRevC.76.065201· OSTI ID:902111

Lee, T S.H.; Julia-diaz, B; Matsuyama, A; Sato, T

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, Newport News, VA
• 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
• Journal Information: Phys.Rev.C, Journal Name: Phys.Rev.C Vol. 76
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ELASTIC SCATTERING
MESON-BARYON INTERACTIONS
MESONS
NUCLEONS
PARTIAL WAVES
PHYSICS
PRODUCTION
RESONANCE
SCATTERING
TOTAL CROSS SECTIONS
TRANSFORMATIONS