Abstract
A technique is proposed, which yields a systematic extension of the space explicitly considered in a nuclear shell-model calculation. This scheme can be used to account for the effects of 2j̵ω, 4ħω and higher excitations, which cannot be included in a shell-model configuration mixing calculation. To test the efficiency of this method, it is applied to a semi-realistic model for the sd-shell nucleus 20Ne. A comparison with the exact results for this model demonstrates that a very good agreement can be obtained already in the lowest order approximation of this scheme. A fast convergence is obtained even for such choices for the parameters of the hamiltonian, for which the conventional techniques to renormalize the two-body interaction between valence nucléons completely fail.
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