Examining the justification for the introduction of a fermion localization function

Autor: Bulgac, Aurel
Rok vydání: 2023
Předmět:
Zdroj: Phys. Rev. C, 108, L051303 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevC.108.L051303
Popis: 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.
Comment: 8 pages, title changed, text and references augmented
Databáze: arXiv