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We present approximate representations of the liquid structure function S(k) for Fermi systems in the framework of the renormalized and unrenormalized Jastrow theory. Using short range correlations we study the behavior of S(k) in the range of low momenta and compare our numerical results with the experimental data of the liquid structure function of liquid  3 He. We conclude that the usual Jastrow ansatz Ψ = Π i&lt;i  f(rij) Φ  for the trial wave function of a dense Fermi system, together with an application of the cluster expansion method developed by Clark and Westhaus, does not sufficiently describe these systems. Improvements are discussed

Renormalized and Unrenormalized Jastrow Expansions of the Liquid Structure Function for Dense Fermi Liquids