Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods

Details Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods

2009-06-25

arxiv.org/abs/0906.4763v1

J. Phys. G: Nucl. Part. Phys. 36 (2009) 105105

Physics

Nuclear Physics

Nuclear Theory

15 LaTeX pages, 8 eps figures, submitted to Journal of Physics G

Scientific paper

10.1088/0954-3899/36/10/105105

Based on the 1960 idea of Lipkin, the minimization of energy of a symmetry-restored mean-field state is equivalent to the minimization of a corrected energy of a symmetry-broken state with the Peierls-Yoccoz mass. It is interesting to note that the "unphysical" Peierls-Yoccoz mass, and not the true mass, appears in the Lipkin projected energy. The Peierls-Yoccoz mass can be easily calculated from the energy and overlap kernels, which allows for a systematic, albeit approximate, restoration of translational symmetry within the energy-density formalism. Analogous methods can also be implemented for all other broken symmetries.

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