Application of TDHF Methods to Nuclear Physics

Citation

Flanders, Bradley A. (1981) Application of TDHF Methods to Nuclear Physics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/vakw-ws15. https://resolver.caltech.edu/CaltechTHESIS:03022018-134310889

Abstract

Part I presents results for TDHF calculations of realistic heavy-ion reactions. Results for a separable approximation, neglecting motion normal to the scattering plane, agree very well with the results of the full 3-D calculation. Results for the fusion cross section of two systems leading to the compound nucleus ⁵⁶Ni are compared with experimental data. The ¹⁶O + ⁴⁰Ca results agree quite well with the experimental data, and the ²⁸Si + ²⁸Si results agree quite well with experimental data for the similar ³²S + ²⁷Al system. Results of calculations with the separable approximation for ⁸⁶Kr + ¹³⁹La are compared with both axially symmetric calculations and experimental results. All three show substantial agreement.

Part II presents a stability criterion for the validity of TDHF solutions based on a time-dependent generalization of RPA theory. Results are tested in an exactly soluble model, the SU(3) generalization of the Lipkin model. Unfortunately, the exact solution could not be computed for a large enough number of particles to permit quantitative testing of this criterion. However, it does seem to correctly indicate the stability or instability of the TDHF path.

Thesis Files