Fermi hypernetted chain calculations in a periodic box

The Fermi hypernetted chain theory is reformulated to perform calculations with a finite number of fermions in a periodic box. The proposed method is expected to be useful to estimate the finite size effects in Quantum Monte Carlo simulations. Moreover, it can deal with anisotropic correlations as well as with different shaped boxes. Results are given for the neutron matter Bethe homework Hamiltonian and for nuclear matter with spin-isospin dependent central interactions. It is found that finite size effects come from both the kinetic and the potential energy expectation values.