Microscopic and non-adiabatic Schr\"odinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states
Abstract
A new approach called the Schr\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations. The derivation of the SCIM proceeds in two steps. The first step is based on a generalization of the symmetric moment expansion of the equations derived in the framework of the Generator Coordinate Method (GCM), when both Hartree-Fock-Bogoliubov (HFB) states and two-quasi-particle excitations are taken into account as basis states. The second step consists in reducing the generalized Hill and Wheeler equation to a simpler form to extract a Schr\"odinger-like equation. The validity of the approach is discussed by means of results obtained for the overlap kernel between HFB states and two-quasi-particle excitations at different deformations.
Keywords
Cite
@article{arxiv.1106.2961,
title = {Microscopic and non-adiabatic Schr\"odinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states},
author = {Rémi Bernard and Heloise Goutte and Daniel Gogny and Walid Younes},
journal= {arXiv preprint arXiv:1106.2961},
year = {2015}
}
Comments
27 pages, 12 figures, submitted to Phys. Rev. C