Hartree-Fock description of superdeformed states

Details Hartree-Fock description of superdeformed states Hartree-Fock description of superdeformed states

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nuph.rept.....d&link_type=abstract

Presented at the 22nd International Summer School on Nuclear Physics, Piaski (Poland), Jun. 1991

Physics

Nuclear Physics

Atomic Energy Levels, Atomic Structure, Electron Transitions, Hartree Approximation, Mercury Isotopes, Multipoles, Nuclear Deformation, Quadrupoles, Electric Moments, Excitation, Ground State, Hamiltonian Functions, Isomers, Moments Of Inertia, Nuclear Quadrupole Resonance, Variational Principles, Wave Functions

Scientific paper

The discovery of superdeformation has been preceded by theoretical predictions made in Nilsson-Strutinsky calculations and a description of the phenomenon still constitutes an exciting challenge to the theory of nuclear collective motion. In particular, a determination of electromagnetic transition rates requires a knowledge of microscopic collective wave functions, which can be achieved by using the Hartree-Fock (HF) theory and the generator coordinate method (GCM). In this study we present results of our calculations concerning the properties and superdeformed states in the mercury region. Using the GCM, we diagonalize the microscopic two-body hamiltonian within the basis set of constrained HF + BCS (Bardeen-Cooper-Schrieffer Theory) wave functions. The GCM provides values for the energy of the ground and excited states including the shape isomer which take into account the effect of correlations in the collective degree of freedom. The GCM will also allow us to discuss the qualitative modifications of the shape isomeric stability as induced by changes in pairing correlations.

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