English

Extended RPA with ground-state correlations in a solvable model

Nuclear Theory 2009-11-10 v1

Abstract

The ground states and excited states of the Lipkin model hamiltonian are calculated using a new theoretical approach which has been derived from an extended time-dependent Hartree-Fock theory known as the time-dependent density-matrix theory (TDDM). TDDM enables us to calculate correlated ground states, and its small amplitude limit (STDDM), which is a version of extended RPA theories based on a correlated ground state, can be used to calculate excited states. It is found that this TDDM plus STDDM approach gives much better results for both the ground states and the excited states than the Hartree-Fock ground state plus RPA approach.

Keywords

Cite

@article{arxiv.nucl-th/0408042,
  title  = {Extended RPA with ground-state correlations in a solvable model},
  author = {S. Takahara and M. Tohyama and P. Schuck},
  journal= {arXiv preprint arXiv:nucl-th/0408042},
  year   = {2009}
}

Comments

4 pages, 4 figures

R2 v1 2026-07-22T18:32:23.889Z