An alternative well-founded way to treat the center-of-mass correlations: use of a local center-of-mass correlation potentia

Abstract : The recently developed "internal" Density Functional Theo ry provides an existence theorem for a local potential that contains the center-of-mass correla tions effects. The knowledge of the cor- responding energy functional would provide a much cheaper w ay than projection techniques to treat these correlations. The aim of this article is to const ruct such a functional. We propose a well-founded method, suitable for Fermions as well as for Bo sons, which does not require any free parameters.