Abstract
A closed expression for the energy of a fermion system is found using a Jastrow product wavefunction. The energy is expressed in terms of the two-particle and three-particle distribution functions. Using the Kirkwood superposition approximation for the three particle distribution functions and a cluster expansion to derive the fermion two-particle distribution function from that of mass-three bosons the energy of 3He has been evaluated. The results are in reasonable agreement with experiment and with those obtained by the cluster expansion technique. An attempt is made to assess the error introduced by the super-position approximation by making the same approximation for a boson system.
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