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Density dependence of two-body interactions for beyond–mean-field calculations

Abstract : This paper deals with the theoretical foundation of effective two-body forces for the Generator Coordinate Method (GCM) and the projected mean-field method. The first aim of this paper is to reduce into various local-densities the in-medium content of a generalized G matrix removing the hard core problem in this extended context. Then, we consider the possible renormalization of multi-body forces through a density-dependent two-body interaction in the context of configuration mixing calculations. A density dependence of the form ρ σ , as used in Skyrme and Gogny forces, is successfully interpreted as doing so when the mixed density is used. Finally, we propose a simple extension of the Skyrme force dedicated to the calculation of matrix elements between non-orthogonal product states, which are needed to evaluate the correlated energy.
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T. Duguet, P. Bonche. Density dependence of two-body interactions for beyond–mean-field calculations. Physical Review C, American Physical Society, 2003, 67 (5), pp.054308. ⟨10.1103/PhysRevC.67.054308⟩. ⟨cea-02928258⟩

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