AN ANALYSIS OF THE REACTION B$sup 10$(d,p)$sup 11$*(2.14 Mev). Thesis
A theoretical investigation of the angular distribution of protons from the reaction B/sup 10/(d,p/sub 1/)B/sup 11*/ was made. An analysis of the available experimental data indicated that the angular momentum selection rule of the Butler theory of deuteron stripping is violated in this reaction. Thus, the Butler theory cannot account for the behavior of the observed angular distributions nor can the final state interaction of the captured neutron and outgoing proton, used in the Butler theory, be the mechanism by which the reaction proceeds. The direct nuclear reaction theory was used as a framework for studying the other possible reaction mechanisms. The other mechanisms give rise to three different types of scattering amplitudes: the knock out amplitude, the heavy particle stripping amplitude, and the proton target amplitude. The first two amplitudes arise from exchange effects due to inclusion of the Pauli principle. Angular distributions are calculated for each case using the approximations of plane waves for the relative motion in the initial and final states and j-j coupling for the nuclear states. Single particle states are represented by harmonic oscillator wave functions. A calculation of the proton target angular distribution was made using a real deuteron and Bhatia approximations. Agreement with the experimental data at 8.1 Mev was not obtained. The ratio of the maxima occurring in the proton target and heavy particle stripping cross sections was found to be about 100. Distortion effects are then included in the calculation using an approximate method developed by Rodberg. Use of distortion greatly improves the fit to the data. It was concluded that the reaction mechanism is the proton target interaction; distortion effects are important in the reaction; and the structure in the observed angular distribution near 90 deg is an effect of the finite deuteron size. Several appendices are included in which the scattering amplitude is derived and then antisymmetrized. It is shown thai both the initial and the final states must be antisymmetrized to obtain the proper normalization of the transition operator. (TCO)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-18-004616
- OSTI ID:
- 4126714
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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Related Subjects
ANGULAR MOMENTUM
BORON 10
BORON 11
BUTLER THEORY
CAPTURE
DEFORMATION
DEUTERON BEAMS
DIRECT REACTIONS
ENERGY LEVELS
INTERACTIONS
J-J COUPLING
MOMENTUM
MOTION
NUCLEAR MODELS
NUCLEAR REACTIONS
NUMERICALS
ORBITS
PARTICLE MODELS
PAULI PRINCIPLE
PHYSICS
PROTONS
QUANTUM MECHANICS
REACTION KINETICS
SCATTERING
SELECTION RULES
SPIN
TARGETS
TRANSIENTS