Self-Consistent RPA based on a Many-Body Vacuum
Nuclear Theory
2015-05-20 v1
Abstract
Self-Consistent RPA is extended in a way so that it is compatable with a variational ansatz for the ground state wave function as a fermionic many-body vacuum. Employing the usual equation of motion technique, we arrive at extended RPA equations of the Self Consistent RPA structure. In principle the Pauli principle is, therefore, fully respected. However, the correlation functions entering the RPA matrix can only be obtained from a systematic expansion in powers of some combinations of RPA amplitudes. We demonstrate for a model case that this expansion may converge rapidly.
Keywords
Cite
@article{arxiv.1011.5106,
title = {Self-Consistent RPA based on a Many-Body Vacuum},
author = {Mohsen Jemai and Peter Schuck},
journal= {arXiv preprint arXiv:1011.5106},
year = {2015}
}
Comments
8 pages, 4 figures