Study of the Perturbation Series for the Ground State of a Many-Fermion System. III

Abstract

We derive, through sixth order in the Fermi momentum, the many-fermion energy expansion. This expansion is compared with actual energies previously computed for the square-well potential. We introduce an approximation scheme, valid over a significant range of conditions, which includes, we think, infinite nuclear matter. We show that saturation is almost certainly a singular point of the many-fermion energy curve.