Bose and Fermi Gases with Lennard–Jones Interactions
We study a model for cold Bose and Fermi gases based on the Lennard–Jones interaction, using the optimized (Fermi-)hypernetted-chain ((F)HNC-EL) method. For comparison, we also have carried out path integral ground state Monte Carlo (PIGSMC) simulations in the Bose case. By varying the density and the coupling strength for the Lennard–Jones potential, we cover the whole range of dilute, weakly interacting gases up to the dense, strongly interacting case of liquid 3He and 4He. Below about 20 percent helium equilibrium density, the simplest version of the (F)HNC-EL theory is accurate within better than 1 percent.
KeywordsBose gas Fermi gas Equation of state Scattering length
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