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Unified description of the n + sup 209 Bi mean field between minus 20 MeV to 60 MeV via the dispersion relation

Thesis/Dissertation ·
OSTI ID:5553409
The objective of the present investigation is to obtain elastic neutron scattering cross sections from {sup 209}Bi at a wide range of energies and to study the mean field behavior of n + {sup 209}Bi. An empirical optical model is developed to calculate the cross sections which are needed to calculate quantities for applied purposes. The empirical optical model is then extrapolated to negative energy regions for shell model calculations. The neutron elastic differential cross sections have been measured from elemental bismuth at E{sub n} = 4.0 to 24.0 MeV using the Ohio University time-of-flight facility. Previously published elastic differential cross sections from 1.0 to 4.0 MeV were also included in the analysis to allow a very short extrapolation to negative energies. Total cross sections for bismuth were measured at the Oak Ridge National Laboratory for an energy range of 1 to 60 MeV. The measured neutron elastic differential cross sections and total cross sections were analyzed using the Woods-Saxon phenomenological optical model potential (OMP), and model independent analysis was also performed. The entire data were used to do a grid search for the OMP geometrical parameters. A dispersive OMP was established for {sup 209}Bi using the results of grid search and dispersion relation. Applying a totally different method, known as the moment method, the analysis was again performed to obtain the energy dependence of the OMP parameters. A comparative study was done with the results obtained by the two methods. Both the grid search dispersive OMP and the moment method describe the elastic scattering data quite well.
Research Organization:
Ohio Univ., Athens, OH (United States)
OSTI ID:
5553409
Country of Publication:
United States
Language:
English

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Related Subjects

663430* -- Nucleon-Induced Reactions & Scattering-- (1992-)
663580 -- Nuclear Mass Ranges-- A=190-219-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON REACTIONS
BISMUTH 209 TARGET
CROSS SECTIONS
DISPERSION RELATIONS
ELASTIC SCATTERING
ENERGY RANGE
EVEN-EVEN NUCLEI
HADRON REACTIONS
HEAVY NUCLEI
ISOTOPES
LEAD 208
LEAD ISOTOPES
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MEV RANGE
MEV RANGE 10-100
MOMENTS METHOD
NEUTRON REACTIONS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
OPTICAL MODELS
POTENTIALS
SCATTERING
SHELL MODELS
SPECTROSCOPIC FACTORS
STABLE ISOTOPES
TARGETS
WOODS-SAXON POTENTIAL