Type of Document Dissertation Author Teran Balbuena, Edgar Author's Email Address firstname.lastname@example.org URN etd-03312003-163407 Title Hartree-Fock-Bogoliubov calculations for nuclei far from stability Degree PhD Department Physics Advisory Committee
Advisor Name Title A. Sait Umar Committee Chair Akunuri V. Ramayya Committee Member David J. Ernst Committee Member Leonard C. Feldman Committee Member Volker E. Oberacker Committee Member Keywords
- nuclear theory
- nuclear structure
- mean field theories
Date of Defense 2003-03-24 Availability unrestricted AbstractThe description of the properties of nuclei far from stability presents
a big challenge in Nuclear Physics theory. It demands the development of sophisticated
algorithms suitable for describing the complex many-body nuclear problem,
specially for nuclei under extreme conditions.
This thesis addresses the study of nuclei far from stability by solving the
Hartree-Fock-Bogoliubov (HFB) equations, which describe the self-consistent
mean field theory with pairing interaction.
Calculations for even-even nuclei are carried out on a
two-dimensional axially symmetric lattice, in coordinate space.
The Bogoliubov transformation gives place to quasiparticle states.
The quasiparticle continuum wavefunctions are considered for energies up
to 60 MeV. Nuclei near the drip lines have a strong coupling between weakly bound
states and the particle continuum. This method gives a proper description of
the ground state properties of such nuclei.
The first part of this thesis deals with the HFB
theory in nuclear structure.
The standard HFB formalism is introduced. The detailed representation
of the HFB equations in axial symmetry is discussed, as well.
The numerical techniques involved are also described.
The numerical algorithm is implemented to work iteratively, since
the nature of the nuclear problem in the HFB scheme is self-consistent.
High accuracy is achieved by representing the operators
and wavefunctions using the technique of basis-splines.
Calculations of observables for nuclei far from the stability are presented
to demonstrate the reliability of the method. Results for oxygen, zirconium,
tin and sulfur isotopes are shown.
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