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


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.


Strength Function Reduce Density Matrice Total Wave Function Body Correlation Lipkin Model 
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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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