Examining the justification for the introduction of a fermion localization function

Aurel Bulgac

doi:10.1103/physrevc.108.l051303

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arXiv · 2308.05255

Examining the justification for the introduction of a fermion localization function

Aurel Bulgac

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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 2-body density matrices, which depend on the character and strength of the 2-particle interaction and, which can be useful in justifying the derivation of an appropriate energy density functional.

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Aurel Bulgac. 2023-08-09. Examining the justification for the introduction of a fermion localization function. https://doi.org/10.1103/physrevc.108.l051303

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