Extended RPA with ground-state correlations in a solvable model

Details Extended RPA with ground-state correlations in a solvable model Extended RPA with ground-state correlations in a solvable model

2004-08-17

arxiv.org/abs/nucl-th/0408042v1

Phys.Rev. C70 (2004) 057307

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 figures

Scientific paper

10.1103/PhysRevC.70.057307

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.

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