Valence-core self-consistency in the A=17 system

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 A=17 in an 11hΩ model space is readily extrapolated to a 20hΩ 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 A=16 and the results are employed in a shell-model study of A=17. 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 A=16 and, except for a weak spin-orbit splitting, reasonable results for the lowest states in the A=17 system. This agreement is important for continued valence s- d shell studies