Within the Hartree–Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of the single-particle exchange at the Fermi momentum. It is shown that the Hartree–Fock result brings no corrections to the RPA Fermi velocity.
Spectroscopic factors for single-particle exchange reactions are calculated in the SU3 model. As a first approximation, each state is described by only one SU3 representation. Agreement with experiment is found to be as good as for the more complicated versions of the Nilsson and shell models.
HARTREE–FOCK GROUND STATE OF THE COMPOSITE FERMION METAL