Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations

Details Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations

2007-09-04

arxiv.org/abs/0709.0508v1

Phys.Rev.C77:064308,2008

Physics

Nuclear Physics

Nuclear Theory

15 pages, 5 figures

Scientific paper

10.1103/PhysRevC.77.064308

We describe a procedure for mapping a self-consistent mean-field theory (also known as density functional theory) into a shell model Hamiltonian that includes quadrupole-quadrupole and monopole pairing interactions in a truncated space. We test our method in the deformed N=Z sd-shell nuclei Ne-20, Mg-24 and Ar-36, starting from the Hartree-Fock plus BCS approximation of the USD shell model interaction. A similar procedure is then followed using the SLy4 Skyrme energy density functional in the particle-hole channel plus a zero-range density-dependent force in the pairing channel. Using the ground-state solution of this density functional theory at the Hartree-Fock plus BCS level, an effective shell model Hamiltonian is constructed. We use this mapped Hamiltonian to extract quadrupolar and pairing correlation energies beyond the mean field approximation. The rescaling of the mass quadrupole operator in the truncated shell model space is found to be almost independent of the coupling strength used in the pairing channel of the underlying mean-field theory.

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