On the formulation of functional theory for pairing with particle number restoration

Abstract

The restoration of particle number within Energy Density Functional theory is analyzed. It is shown that the standard method based on configuration mixing leads to a functional of both the projected and non-projected densities. As an alternative that might be advantageous for mass models, nuclear dynamics and thermodynamics, we propose to formulate the functional in terms directly of the one-body and two-body density matrices of the state with good particle number. Our approach does not contain the pathologies recently observed when restoring the particle number in an Energy Density Functional framework based on transition density matrices and can eventually be applied with functionals having arbitrary density dependencies.

11 pages, 3 figures

References in corpus (15)

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• Density-matrix functionals for pairing in mesoscopic superconductors
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Cited by in corpus (13)

• Nuclear energy density optimization: Large deformations
• Symmetry restoration in mean-field approaches
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Effective density functionals beyond mean field
• Large amplitude pairing fluctuations in atomic nuclei
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Lipkin method of particle-number restoration to higher orders
• Combining symmetry breaking and restoration with configuration interaction: a highly accurate many-body scheme applied to the pairing Hamiltonian
• Beyond mean-field calculation for pairing correlation
• Variational Principle Directly on the Coherent Pair Condensate. I. the BCS Case
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics