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Application of TDHF Methods to Nuclear Physics


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


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Koonin, Steven E.
Thesis Committee:
  • Koonin, Steven E. (chair)
  • Tombrello, Thomas A.
  • Fox, Geoffrey C.
  • Devi, K. R. Sandhya
Defense Date:29 May 1981
Funding AgencyGrant Number
NSFERDA #W-7405-ENG-48
NSFERDA #W-7405-ENG-26
NSFNSF 77-12879
Record Number:CaltechTHESIS:03022018-134310889
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10747
Deposited By: Mel Ray
Deposited On:02 Mar 2018 23:40
Last Modified:16 Apr 2021 22:31

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