Pion-nucleon scattering at intermediate energies

Thesis/Dissertation · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5795489

Bains, B S

A study of pion-nucleon scattering at intermediate energies, P/sub ..pi../ from 2 to 5 GeV/C, using a relativistic optical model is made. This model is based on the Bethe-Salpeter Equation and its reduced form, the Blackenbecler-Sugar equation, which is simpler to solve. The numerical work involves solving singular integral equations numerically using Simpson's rule to obtain the scattering amplitudes and hence the cross sections. The scattering data are fitted by changing the various potential parameters in this model. In addition to the potential created by the exchange of a scalar (sigma) and rho-meson as performed in earlier work, the exchange of a S/sup */ meson is also investigated. For simplicity, most of the coupling parameters are kept fixed with energy except for the energy varying imaginary part of the sigma-meson coupling constant. ..pi../sup +/-/-P and charge exchange data agree very well with the experimental values. The polarizations agree only qualitatively. Further investigation shows that the polarizations are sensitive to the rho-meson parameters. Further extensions to this work are also suggested.

• Research Organization: Ohio Univ., Athens (USA)
• OSTI ID: 5795489
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BETHE-SALPETER EQUATION
CROSS SECTIONS
DATA
ENERGY RANGE
EQUATIONS
EXCHANGE INTERACTIONS
GEV RANGE
GEV RANGE 10-100
HADRON-HADRON INTERACTIONS
INFORMATION
INTERACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUMERICAL DATA
OPTICAL MODELS
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
POLARIZATION
SCATTERING
SCATTERING AMPLITUDES
THEORETICAL DATA