Generalized Fermi sea for plane-wave Hartree-Fock theory. II. Semi-realistic interactions in three dimensions

Abstract

IThe possibility of abnormally occupying plane-wave Hartree-Fock determinants is studied analytically for several many-fermion systems interacting with shortand long-ranged pair potentials in three dimensions. Lower energy states are found in some cases, but they always depend sensitively on the shape of the potential as well as on the amount of space exchange present in the interaction. jNUCLEAB STRUCTURE Plane-wave Hartree-Fock, nuclear matter. ]

Different scenarios of topological phase transitions in homogeneous neutron matter

“…The notation Tr σ stands for the trace over the spin variable. Previous investigations [25] within the QP interaction (9) were focused on the ground-state topology, and g, q c , κ quantities were regarded as phenomenological parameters. For convenience of readers, we present in Fig.…”

“…This is the state that was considered in Refs. [7][8][9]. Further development concerning states with many bubbles can be found in Refs.…”

“…,(9) where g is an effective coupling constant and κ 2 (ρ) ∝ (ρ c − ρ) is an effective radius in momentum space. The notation Tr σ stands for the trace over the spin variable.…”