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Becke and Edgecombe suggested in 1990 a theoretical tool to describe electronlocalization in atoms and molecules, an idea which was borrowed by a largenumber of nuclear theorists since 2011 to describe nucleon localization innuclear systems. I argue here that these arguments are highly questionable andcannot be used in interacting systems, where effects beyond the naive meanfield or the simple Hartree-Fock framework are important and the inclusion ofcorrelations induced by particle interactions is necessary in order tointroduce such a localization function. I also describe several aspects of theexchange and irreducible 2-body density matrices, which depend on the characterand strength of the 2-particle interaction and, which can be useful injustifying the derivation of an appropriate energy density functional.

Examining the justification for the introduction of a fermion localization function