Fermion clustering in a soluble one-dimensional many-body system

A one-dimensional gas of N fermions with ν intrinsic degrees of freedom, such that N /ν is integer, with the particles interacting via attractive delta pair potentials is considered in its ground state. In particular, the clustering into N /ν entities is shown to appear and studied comparatively from both the Schrödinger and Hartree-Fock approximation viewpoints in terms of the energy and wavefunction overlap. The Schrödinger ground state energy for all nonzero densities is calculated numerically and compared to the nonzero density Hartree-Fock results for ν = 2. © 1982 American Institute of Physics.