New Lower Bound on Fermion Binding Energies

Abstract

We derive a new lower bound for the ground state energy $E^{\mathrm{F}}(N,S)$ of N fermions with total spin S in terms of binding energies $E^{\mathrm{F}}(N-1,S\pm 1/2)$ of (N-1) fermions. Numerical examples are provided for some simple short-range or confining potentials.

Comments: 4 pages, 1 eps figure