SU(3) versus deformed Hartree-Fock

Details SU(3) versus deformed Hartree-Fock SU(3) versus deformed Hartree-Fock

2002-07-08

arxiv.org/abs/nucl-th/0207017v1

Phys.Rev. C66 (2002) 034312

Physics

Nuclear Physics

Nuclear Theory

5 pages

Scientific paper

10.1103/PhysRevC.66.034312

Deformation is fundamental to understanding nuclear structure. We compare two ways to efficiently realize deformation for many-fermion wavefunctions, the leading SU(3) irrep 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 non-trivial, with the angular-momentum projected Hartree-Fock state better approximating an ``exact'' wavefunction calculated in the fully interacting shell model. The difference is driven almost entirely by the single-particle spin-orbit splitting.

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