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The energy and structure of dilute gases of hard spheres in three dimensions is discussed, together with some aspects of the corresponding 2D systems. A variational approach in the framework of the Hypernetted Chain Equations (HNC) is used starting from a Jastrow wavefunction that is optimized to produce the best two body correlation factor with the appropriate long range. Relevant quantities describing static properties of the system are studied as a function of the gas parameter x = ρad where ρ, a and d are the density, s wave scattering length of the potential and dimensionality of the space, respectively. The occurrence of a maximum in the radial distribution function and in the momentum distribution is a natural effect of the correlations when x increases. Some aspects of the asymptotic behavior of the functions characterizing the structure of the systems are also investigated.
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PACS numbers: 03.75.Hh, 05.30.Jp, 67.40.Db.
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Mazzanti, F., Polls, A. & Fabrocini, A. Energy and Structure of Hard-Sphere Bose Gases in three and two dimensions. J Low Temp Phys 138, 735–740 (2005). https://doi.org/10.1007/s10909-005-2295-y
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DOI: https://doi.org/10.1007/s10909-005-2295-y