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Microscopic calculation of the temperature anomaly of spatial correlations in liquid 4He

The authors re-investigate G.V. Chester's model (1955) for liquid 4He which combines Jastrow factor correlations with those of the ideal Bose gas. For the first time, they evaluate the structure factor S(k;T) in this model. This evaluation is based on the optimized random phase approximation frequently used in simple liquid theories. The calculated S(k;T) reproduces qualitatively the k- and T-dependence of the experimental structure factor. The temperature anomaly of liquid helium below the lambda -point can be explained by the Bose gas correlations.