Energy functional for the three-level Lipkin model

Details Energy functional for the three-level Lipkin model Energy functional for the three-level Lipkin model

2008-05-19

arxiv.org/abs/0805.2856v1

Phys.Rev.C78:064310,2008

Physics

Nuclear Physics

Nuclear Theory

6 pages, 5 figures

Scientific paper

10.1103/PhysRevC.78.064310

We compute the energy functional of a three-level Lipkin model via a Legrendre transform and compare exact numerical results with analytical solutions obtained from the random phase approximation (RPA). Except for the region of the phase transition, the RPA solutions perform very well. We also study the case of three non-degenerate levels and again find that the RPA solution agrees well with the exact numerical result. For this case, the analytical results give us insight into the form of the energy functional in the presence of symmetry-breaking one-body potentials.

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