Eur. Phys. J. A (2016) 52: 187
https://doi.org/10.1140/epja/i2016-16187-9

Regular Article - Theoretical Physics

Many-body theory and Energy Density Functionals

INFN, via S. Sofia 64, 95123, Catania, Italy

^* e-mail: baldo@ct.infn.it

Received: 23 April 2016
Accepted: 17 June 2016
Published online: 18 July 2016

Abstract

In this paper a method is first presented to construct an Energy Density Functional on a microscopic basis. The approach is based on the Kohn-Sham method, where one introduces explicitly the Nuclear Matter Equation of State, which can be obtained by an accurate many-body calculation. In this way it connects the functional to the bare nucleon-nucleon interaction. It is shown that the resulting functional can be performing as the best Gogny force functional. In the second part of the paper it is shown how one can go beyond the mean-field level and the difficulty that can appear. The method is based on the particle-vibration coupling scheme and a formalism is presented that can handle the correct use of the vibrational degrees of freedom within a microscopic approach.