SOME CORRECTIONS TO PARTIAL WAVE DISPERSION RELATIONS FOR PION PHOTO- PRODUCTION (thesis). Technical Report No. 38

Technical Report · Tue May 01 04:00:00 EDT 1962

OSTI ID:4800744

McKinley, J M

The exact one dimensional dispersion relations for partial wave amplitudes of pion-nucleon scattering and of pion photeproduction on nucleons were derived and compared. It was found that a non-constant comparison function must be introduced into the relationship between the scattering partial wave amplitude which is dominant at low energies and the corresponding photoproduction partial wave amplitude, in order that each amplitude obey its own exact dispersion relation at the same time that the two amplitudes are related by the unitarity condition. The results of experimental determinations of pion-nucleon scattering phase shifts were compiled, and the coefficients of interpolation formula for the phase shifts were evaluated, Two sets of interpolation formula were found, one of which attempts to incorporate all experiments while the other disregards three irtermediate-energy experiments which do not appear to follow the trend of the other experiments. The experimental results of photoproduction of neutral and positive pions on protons at energies up to 500 Mev were compared to calculated cross sections for various phase shifts and inclusion of the comparison function. There was no overwhelming indication either for or against the inclusion of the comparison function. The photoproduction cross sections were also calculated with the inclusion of the bipion. The effect of this contribution was generally greater than the effect of either the comparison function or a change of phase shifts. On the basis of the pi /sup +/ angular distribution it appeared that the coupling parameter for this contribution should be negative. (auth)

• Research Organization: Illinois. Univ., Urbana
• NSA Number: NSA-16-027910
• OSTI ID: 4800744
• Report Number(s): NP-11839
• Country of Publication: United States
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
CROSS SECTIONS
ENERGY RANGE
INTERACTIONS
MATHEMATICS
NUCLEONS
NUMERICALS
PHASE SHIFT
PHOTOPRODUCTION
PHYSICS
PIONS
PROTONS
QUANTUM MECHANICS
SCATTERING