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SU(3) versus deformed Hartree-Fock

Calvin W. Johnson·Ionel Stetcu·J. P. Draayer
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Abstract

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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Calvin W. Johnson, Ionel Stetcu, J. P. Draayer. 2002-07-08. SU(3) versus deformed Hartree-Fock. https://doi.org/10.1103/physrevc.66.034312

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