Hartree-Fock solutions for 20Ne in a rotating frame of reference: the collective model

The nuclear Hartree-Fock wave function for 20Ne has been determined using the two-body G-matrix elements for the Hamada-Johnson potential. Different interactions involving various values of the starting energy ω have been used. It is shown that the binding energy per nucleon and the observed energy gap cannot be obtained for a single value of ω. The most satisfactory value occurs for ω = 63. The Hartree-Fock wave function is subsequently determined (for ω = 63) in a rotating frame of reference as a function of the angular frequency Ω. It is shown that is approximately a linear formation of Ω (Ω < 4) and that the semiclassical picture of rotational motion gives a reasonable description of the energy spectrum of 20Ne. The two-body G-matrix is such that the cranking term in the Hamiltonian dominates for Ω > 4. For Ω > 4 the Hartree-Fock field is symmetric about the cranking axis. The band cut-off is therefore obtained as predicted by the self-consistent cranked independent harmonic oscillator model. (Auth.)