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Density-matrix formalism with three-body ground-state correlations

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Abstract.

A density-matrix formalism which includes the effects of three-body ground-state correlations is applied to the standard Lipkin model. The reason to consider the complicated three-body correlations is that the truncation scheme of reduced density matrices up to the two-body level does not give satisfactory results to the standard Lipkin model. It is shown that the inclusion of the three-body correlations drastically improves the properties of the ground states and excited states. It is pointed out that lack of mean-field effects in the standard Lipkin model enhances the relative importance of the three-body ground-state correlations. Formal aspects of the density-matrix formalism such as a relation to the variational principle and the stability condition of the ground state are also discussed. It is pointed out that the three-body ground-state correlations are necessary to satisfy the stability condition.

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Authors and Affiliations

  1. Kyorin University School of Medicine, Mitaka, Tokyo, 181-8611, Japan

    M. Tohyama

  2. Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406, Orsay Cedex, France

    P. Schuck

Authors
  1. M. Tohyama
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  2. P. Schuck
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Correspondence to M. Tohyama.

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Communicated by W. Nazarewicz

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Tohyama, M., Schuck, P. Density-matrix formalism with three-body ground-state correlations. Eur. Phys. J. A 45, 257–266 (2010). https://doi.org/10.1140/epja/i2010-11002-5

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  • DOI: https://doi.org/10.1140/epja/i2010-11002-5

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