Approximate angular momentum projection from an intrinsic random phase approximation Hartree-Fock state

Lu Lin, Amand Faessler

A. Mann, I. Unna

Seiya Nishiyama, Kazuhiro Ishida, Moriyoshi Ido

R. M. Quick, H. G. Miller

The thermal response of states of approximate angular momentum in $^{24}\mathrm{Mg}$ with ${J}^{\ensuremath{\pi}}$${=8}^{+}$ has been calculated in the finite temperature restricted Hartree-Fock approximation. Full angular momentum projection has been circumvented by the use of constraints on the total angular momentum J${^}^{2}$ and the z component J${^}_{z}$. States with an abnormal occupation of the single particle orbitals at T=0 exhibit a discontinuity in the thermal response of their variational energy.

Calvin W. Johnson, Ionel Stetcu, Jerry Paul Draayer

Deformation is fundamental to understanding nuclear structure. We compare two ways to efficiently realize deformation for many-fermion wave functions, the leading SU(3) irreducible representation and the angular-momentum-projected Hartree-Fock state. In the absence of single-particle spin-orbit splitting the two are nearly identical. With realistic forces, however, the difference between the two is nontrivial, with the angular-momentum-projected Hartree-Fock state better approximating an ``exact'' wave function calculated in the fully interacting shell model. The difference is driven almost entirely by the single-particle spin-orbit splitting.