Symmetries of the nuclear average field hamiltonian and a search for possible exotic equilibrium deformations in superdeformed nuclei
Abstract
Symmetry properties of the general averagefield hamiltonianmatrix resulting from the geometrical symmetries of the hamiltonian itself are derived and discussed. The corresponding numerical algorithms are constructed. Total energy calculations for superdeformed nuclei are then extended to include the usually neglected deformation modes α_{λ = 3 μ ≠ 0} in the expansion of the nuclear surface expression R(ϑ, ϕ {α}) = c ({α}) R_{0}(1+Σ_{λ}Σ_{μ= λ}^{λ}α_{λμ}^{*} Y_{λμ}(ϑφ)).
The general trends in the shellenergy dependence on α_{λ = 3 μ} and the implied instabilities in the superdeformed configurations of the rare earth nuclei are studied using the Strutinsky formula with the macroscopic part taken in the form of the foldedYukawa plus exponential interaction. A possibility of new (double superdeformed minimum) structures coexisting in some nuclei and resulting from the proton shell effects is predicted and illustrated. No signficant neutron effects are found in the rare superdeformed nuclei considered.
 Publication:

Physics Letters B
 Pub Date:
 November 1991
 DOI:
 10.1016/03702693(91)900888
 Bibcode:
 1991PhLB..271..281X