Eur. Phys. J. A (2017) 53: 49
https://doi.org/10.1140/epja/i2017-12232-7

Review

The self-consistent multiparticle-multihole configuration mixing

Motivations, state of the art and perspectives

¹ CEA, DAM, DIF 91297, Arpajon cedex, France
² Department of Physics, Western Michigan University, 49008-5252, Kalamazoo, MI, USA

^* e-mail: nathalie.pillet@cea.fr

Received: 22 November 2016
Accepted: 13 February 2017
Published online: 14 March 2017

Abstract

The main objective of this paper is to review the state of the art of the multiparticle-multihole configuration mixing approach which was proposed and implemented using the Gogny interaction ∼ 10 years ago. Various theoretical aspects are re-analyzed when a Hamiltonian description is chosen: the link with exact many-body theories, the impact of truncations in the multiconfigurational space, the importance of defining single-particle orbitals which are consistent with the correlations introduced in the many-body wave function, the role of the self-consistency, and more practically the numerical convergence algorithm. Several applications done with the phenomenological effective Gogny interaction are discussed. Finally, future directions to extend and generalize the method are discussed.