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Extended random-phase approximation with three-body ground-state correlations

Abstract : An extended random-phase approximation (ERPA) which contains the effects of ground-state correlations up to a three-body level is applied to an extended Lipkin model which contains an additional particle-scattering term. Three-body correlations in the ground state are necessary to preserve the hermiticity of the Hamiltonian matrix of ERPA. Two approximate forms of ERPA which neglect the three-body correlations are also applied to investigate the importance of three-body correlations. It is found that the ground-state energy is little affected by the inclusion of the three-body correlations. On the contrary, three-body correlations for the excited states can become quite important.
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Submitted on : Friday, October 2, 2009 - 11:08:01 AM
Last modification on : Wednesday, September 16, 2020 - 4:07:54 PM

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M. Tohyama, P. Schuck. Extended random-phase approximation with three-body ground-state correlations. European Physical Journal A, EDP Sciences, 2008, 36, pp.349-357. ⟨10.1140/epja/i2008-10596-3⟩. ⟨in2p3-00421548⟩

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