- The Weizmann Institute of Science, Rehovoth, Israel
- Catholic University of America, Washington, D.C., USA
The previous treatment of a model with particles in two degenerate levels interacting via a monopole force is extended to the case of strong interaction. A “deformed” Hartree-Fock solution is shown to exist when the interaction strength exceeds the critical value where the collective monopole vibration becomes unstable in the random phase approximation. Properties of the deformed solution are compared with the exact solution with particular emphasis on the physical interpretation as a simplified model of the Bleuler, mixed-parity, Hartree-Fock treatment of the nuclear shell model. The overall agreement between exact and Hartree-Fock properties is reasonable and improves with increasing number of particles and interaction strength.
- 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - physique ; 4 - etat condense: structure electronique, proprietes electriques, magnetiques et optiques
- 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - Nuclear and High Energy Physics