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

Oct 18, 2002
18 pages
Published in:
  • Phys.Rev.C 67 (2003) 054308
e-Print:

Citations per year

2002200820142020202402468
Abstract: (arXiv)
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 GG 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 ρσ\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.
Note:
  • The older preprint nucl-th/0210057 has been merged with the preprint nucl-th/0210055 for publication in Phys. Rev. C
  • This paper has been merged with the preprint nucl-th/0210057. The combined version is accepted for publication is Phys. Rev. C
  • 21.30.-x
  • 21.60.Jz