Abstract
We develop a systematic approach to the calculation of self-consistency effects in core plus valence nucleon systems. A detailed calculation of the effective one-body Hamiltonian for in an model space is readily extrapolated to a model space which is sufficient to develop accurate tails for the single-particle wave functions. The effective one-body interaction is found using a Brillouin-Wigner type perturbation theory which eliminates folded diagrams and leads to a manifestly Hermitian interaction. A renormalized Brueckner calculation is performed for and the results are employed in a shell-model study of . The self-consistent results still have a weak dependence on the initial unperturbed Hamiltonian. However, we find a single unperturbed Hamiltonian which yields a reasonable binding energy for and, except for a weak spin-orbit splitting, reasonable results for the lowest states in the system. This agreement is important for continued valence shell studies.
NUCLEAR STRUCTURE Brueckner theory, self-consistency effects, spectra and wave functions, properties.
- Received 27 August 1979
DOI:https://doi.org/10.1103/PhysRevC.21.1626
©1980 American Physical Society