Simple approximation for the starting-energy-independent two-body effective interaction with applications to 6Li

Abstract

We apply the Lee-Suzuki iteration method to calculate the linked-folded diagram series for a new Nijmegen local NN potential. We obtain an exact starting-energy-independent effective two-body interaction for a multi-shell, no-core, harmonic-oscillator model space. It is found that the resulting effective-interaction matrix elements can be well approximated by the Brueckner G-matrix elements evaluated at starting energies selected in a simple way. These starting energies are closely related to the energies of the initial two-particle states in the ladder diagrams. The ``exact'' and approximate effective interactions are used to calculate the energy spectrum of 6Li in order to test the utility of the approximate form.

15 text pages and 2 PostScript figures (available upon request). University of Arizona preprint, Number unassigned

References in corpus (3)

• Triton calculations with the new Nijmegen potentials
• Microscopic Calculations of the Spectra of Light Nuclei
• Exact Solutions of Model Hamiltonian Problems with Effective Interactions

Cited by in corpus (8)

• Large-basis shell-model calculations for p-shell nuclei
• No-core shell-model calculations with starting- energy-independent multi-valued effective interactions
• Large-space shell-model calculations for light nuclei
• Four-nucleon shell-model calculations in a Faddeev-like approach
• Large-basis shell-model calculation of 10C->10B Fermi matrix element
• Nuclear Reactions from Lattice QCD
• Auxiliary potential in no-core shell-model calculations
• Nuclear shell-model calculations for 6Li and 14N with different NN potentials