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 angularmomentum-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.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Johnson, C., Stetcu, I., & Draayer, J. (2002). Su(3) versus deformed Hartree-Fock state. Physical Review C - Nuclear Physics, 66 (3), 343121-343125. https://doi.org/10.1103/PhysRevC.66.034312