Density Dependence of Two-Body Interactions for Beyond Mean-Field Calculations

Details Density Dependence of Two-Body Interactions for Beyond Mean-Field Calculations Density Dependence of Two-Body Interactions for Beyond Mean-Field Calculations

2002-10-18

arxiv.org/abs/nucl-th/0210057v2

Phys.Rev. C67 (2003) 054308

Physics

Nuclear Physics

Nuclear Theory

The older preprint nucl-th/0210057 has been merged with the preprint nucl-th/0210055 for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.67.054308

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 $\rho^{\sigma}$, 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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