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Title page for ETD etd-03312003-163407

Type of Document Dissertation
Author Teran Balbuena, Edgar
Author's Email Address edgar.teran@vanderbilt.edu
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
  • nuclear theory
  • nuclear structure
  • HFB
  • mean field theories
  • Hartree-Fock
Date of Defense 2003-03-24
Availability unrestricted
The 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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