Extension of random-phase approximation preserving energy weighted sum rules: an application to a 3-level Lipkin model

Details Extension of random-phase approximation preserving energy weighted sum rules: an application to a 3-level Lipkin model Extension of random-phase approximation preserving energy weighted sum rules: an application to a 3-level Lipkin model

2001-09-20

arxiv.org/abs/nucl-th/0109061v1

Phys. Rev. C, 63 (2000)

Physics

Nuclear Physics

Nuclear Theory

2 figures

Scientific paper

10.1103/PhysRevC.63.014317

A limitation common to all extensions of random-phase approximation including only particle-hole configurations is that they violate to some extent the energy weighted sum rules. Considering one such extension, the improved RPA (IRPA), already used to study the electronic properties of metallic clusters, we show how it can be generalized in order to eliminate this drawback. This is achieved by enlarging the configuration space, including also elementary excitations corresponding to the annihilation of a particle (hole) and the creation of another particle (hole) on the correlated ground state. The approach is tested within a solvable 3-level model.

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