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  • Letter

Examining the justification for the introduction of a fermion localization function

Aurel Bulgac

  • Department of Physics, University of Washington, Seattle, Washington 98195–1560, USA

Phys. Rev. C 108, L051303 – Published 9 November, 2023

DOI: https://doi.org/10.1103/PhysRevC.108.L051303

Abstract

Becke and Edgecombe suggested in 1990 a theoretical tool to describe electron localization in atoms and molecules, an idea which was borrowed by a large number of nuclear theorists since 2011 to describe nucleon localization in nuclear systems. I argue here that these arguments are highly questionable and cannot be used in interacting systems where effects beyond the naive mean field or the simple Hartree-Fock framework are important and the inclusion of correlations induced by particle interactions is necessary in order to introduce such a localization function. I also describe several aspects of the exchange and irreducible two-body density matrices, which depend on the character and strength of the two-particle interaction and which can be useful in justifying the derivation of an appropriate energy density functional.

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