Examining the justification for the introduction of a fermion localization function
arXiv:2308.05255 · doi: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 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.
8 pages, title changed, text and references augmented
References in corpus (32)
- Weakly bound dimers of fermionic atoms
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Momentum sharing in imbalanced Fermi systems
- Tensor Forces and the Ground-State Structure of Nuclei
- Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
- Time-dependent electron localization function
- A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
- Induced P-wave Superfluidity in Asymmetric Fermi Gases
- Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
- Localization in light nuclei
- BEC-BCS crossover and universal relations in unitary Fermi gases
- Dynamical synthesis of 4He in the scission phase of nuclear fission
- Nucleon localization and fragment formation in nuclear fission
- Cooper pairing above the critical temperature in a unitary Fermi gas
- Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
- Pairing renormalization and regularization within the local density approximation
- Formation and distribution of fragments in the spontaneous fission of 240Pu
- Measures of complexity and entanglement in fermionic many-body systems
- Microscopic analysis of induced nuclear fission dynamics
- Entanglement entropy, single-particle occupation probabilities, and short-range correlations
- Cluster formation in pre-compound nuclei in the time-dependent framework
- Pauli energy contribution to nucleus-nucleus interaction
- Fission dynamics, dissipation and clustering at finite temperature
- Theoretical description of fission yields: towards a fast and efficient global model
- Comment on "Communication: Simple and accurate uniform electron gas correlation energy for the full range of densities" [J. Chem. Phys. 145, 021101 (2016)]
- Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
- Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
- Cluster model of 12C in density functional theory framework
- The quasi-deuteron model at low RG resolution
- Visualization of nuclear many-body correlations with the most probable configuration of nucleons
- New developments in fission studies within the time-dependent density functional theory framework