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The European Physical Journal A

, Volume 45, Issue 2, pp 257–266 | Cite as

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

  • M. TohyamaEmail author
  • P. Schuck
Regular Article - Theoretical Physics

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.

Keywords

Strength Function Reduce Density Matrice Total Wave Function Body Correlation Lipkin Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Kyorin University School of MedicineMitaka, TokyoJapan
  2. 2.Institut de Physique Nucléaire, IN2P3-CNRSUniversité Paris-SudOrsay CedexFrance

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