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Title: Radial wave functions in p-shell nuclei and the (p,d) reaction
Author: Towner, I. S.
Awarding Body: University of Surrey
Current Institution: University of Surrey
Date of Award: 1966
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A single-particle shell model has been used to give simultaneously fits to elastic electron scattering data and (p,d) angular distributions for lp-shell nuclei. Radial wavefunctions have been numerically computed using both a Saxon-Wood and a finite oscillator potential. The numerical procedure is described in detail. For the case of a Saxon-Wood potential, the arbitrary parameters have been determined by fitting the p-shell proton separation energy, and the elastic electron scattering data at forward angles. The longitudinal Coulomb term has been calculated, using Born approximation, and both CO and C2 contributions were considered. Good fits were obtained for the p3/2 nuclei, Li[6], Li[7], Be[9], B[11]and C[12], but for the first three several ambiguous sets of parameters were found. The r.m.s. radius of these nuclei are listed. The DWBA formalism for the (p,d) reaction is briefly presented. The reaction C[12] (p,d) C[11] g.s. at a proton energy of 155 MeV has been used as a test for a high energy DWBA calculation. It is found that the local energy approximation gives a distinct improvement over the usual zero-range calculation. Furthermore it is shown that the usual procedure of taking the neutron parameters from the proton optical potential is inadequate; but the prescription of taking the parameters from fitting elastic electron scattering data was quite successful. Detailed fits for the 155 MeV data of C[12](p,d) C[11], B[10](p,d) B[9] and Be[9](p,d)Be[8] are presented. Also obtained were the experimental spectroscopic factors. Owing to uncertainties and ambiguities in the optical potentials they can only be determined to within an accuracy of 30%. Nevertheless they were compared with the theoretical predictions of a single-particle shell model. Qualitatively the experimental trends were reproduced but the quantitative agreement was poor. Two explanations are briefly considered, the possibility of inelastic scattering processes contributing to the (p,d) cross-section, or the possibility of improving on the simple shell model description by including admixtures of higher states in the ground state wavefunction. Also considered is the application of a single-particle rotational model, but none of these could improve the agreement.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available