Self Consistent Random Phase Approximation and the restoration of symmetries within the three-level Lipkin model

Abstract

We show that it is possible to restore the symmetry associated with the Goldstone mode within the Self Consistent Random Phase Approximation (SCRPA) applied to the three-level Lipkin model. We determine one and two-body densities as very convergent expansions in terms of the generators of the RPA basis. We show that SCRPA excitations correspond to the heads of some rotational bands in the exact spectrum. It turns out that the SCRPA eigenmodes for N=2 coincide with exact solutions, given by the diagonalisation procedure.

References in corpus (2)

• Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature
• Self-Consistent Quasi-Particle RPA for the Description of Superfluid Fermi Systems

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