Recently I have feed our method1 (ladder+) with the Lennard-Jones potential. The parameters where chosen to resemble the Potential of Helium. (\(e=10.22K\) and \(\sigma=2.556\) Anst.) The result is excellent, as can be seen in the figure below:
We compare to FHNC//0-EL, where the pair distribution is given by \(g(r)=(1+\Gamma_{dd}(r))g_F(r)\). Alternatively one could calculate the pair distribution from the Fourier-transform of the Static structure: \(g(r)=FT^{-1}[S(q)-1]+1\).
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- 3.Egger J, Krotscheck E, Zillich RE. Bose and Fermi Gases with Lennard–Jones Interactions. J Low Temp Phys. 2011;165(5-6):275-291. doi:10.1007/s10909-011-0402-9