Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation

K. J. Morrell, C. E. Berger, J. E. Drut

备注：: 7 pages, 4 figures
发表信息：: Phys. Rev. A 100, 063626 (2019)
DOI：: 10.1103/PhysRevA.100.063626

英文摘要：

Using a leading-order semiclassical approximation, we calculate the third- and fourth-order virial coefficients of nonrelativistic spin-1/2 fermions in a harmonic trapping potential in arbitrary spatial dimensions, and as functions of temperature, trapping frequency and coupling strength. Our simple, analytic results for the interaction-induced changes $Δb_3$ and $Δb_4$ agree qualitatively, and in some regimes quantitatively, with previous numerical calculations for the unitary limit of three-dimensional Fermi gases.

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