American Physical Society, Physical Review C, 3(66)
DOI: 10.1103/physrevc.66.034312
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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.