Density Matrix Functional Theory for the Lipkin model

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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9 pages, 7 figures, to appear in Physical Review C

Scientific paper

10.1103/PhysRevC.79.014301

A Density Matrix Functional theory is constructed semi-empirically for the two-level Lipkin model. This theory, based on natural orbitals and occupation numbers, is shown to provide a good description for the ground state energy of the system as the two-body interaction and particle number vary. The application of Density Matrix Functional theory to the Lipkin model illustrates that it could be a valuable tool for systems presenting a shape phase-transition such as nuclei. The improvement of one-body observables description as well as the interest for Energy Density Functional theory are discussed.

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